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Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007 CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September 2007 William H. Hsu Department of Computing and Information Sciences, KSU KSOL course page: http://snipurl.com/va60 Course web site: http://www.kddresearch.org/Courses/Fall-2007/CIS560 Instructor home page: http:// www.cis.ksu.edu/~bhsu Reading for Next Class: Section 6.1 – 6.2, Silberschatz et al., 5 th edition Database Design Overview Notes: Relational Calculi, PS3

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Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Deletion Query Examples Delete all loans with a loan amount greater than $1300 and less than $1500.  For consistency, we have to delete information from loan and borrower tables

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Page 1: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Lecture 13 of 42

Wednesday, 19 September 2007

William H. HsuDepartment of Computing and Information Sciences, KSU

KSOL course page: http://snipurl.com/va60Course web site: http://www.kddresearch.org/Courses/Fall-2007/CIS560

Instructor home page: http://www.cis.ksu.edu/~bhsu

Reading for Next Class:Section 6.1 – 6.2, Silberschatz et al., 5th edition

Database Design OverviewNotes: Relational Calculi, PS3

Page 2: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Modification of the Database – Deletion

Deletion of tuples from a relation is expressed by use of a D. command. In the case where we delete information in only some of the columns, null values, specified by –, are inserted.

Delete customer Smith

Delete the branch_city value of the branch whose name is “Perryridge”.

Page 3: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Deletion Query Examples Delete all loans with a loan amount greater than $1300 and less

than $1500. For consistency, we have to delete information from loan and

borrower tables

Page 4: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Deletion Query Examples (Cont.)

Delete all accounts at branches located in Brooklyn.

Page 5: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Modification of the Database – Insertion

Insertion is done by placing the I. operator in the query expression.

Insert the fact that account A-9732 at the Perryridge branch has a balance of $700.

Page 6: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Modification of the Database – Insertion (Cont.)

Provide as a gift for all loan customers of the Perryridge branch, a new $200 savings account for every loan account they have, with the loan number serving as the account number for the new savings account.

Page 7: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Modification of the Database – Updates

Use the U. operator to change a value in a tuple without changing all values in the tuple. QBE does not allow users to update the primary key fields.

Update the asset value of the Perryridge branch to $10,000,000.

Increase all balances by 5 percent.

Page 8: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Microsoft Access QBE Microsoft Access supports a variant of QBE called Graphical

Query By Example (GQBE) GQBE differs from QBE in the following ways

Attributes of relations are listed vertically, one below the other, instead of horizontally

Instead of using variables, lines (links) between attributes are used to specify that their values should be the same.Links are added automatically on the basis of attribute name, and the

user can then add or delete linksBy default, a link specifies an inner join, but can be modified to specify

outer joins. Conditions, values to be printed, as well as group by attributes are all

specified together in a box called the design grid

Page 9: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

An Example Query in Microsoft Access QBEAn Example Query in Microsoft Access QBE

Example query: Find the customer_name, account_number and balance for all accounts at the Perryridge branch

Page 10: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

An Aggregation Query in Access QBEAn Aggregation Query in Access QBE

Find the name, street and city of all customers who have more than one account at the bank

Page 11: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Aggregation in Access QBE The row labeled Total specifies

which attributes are group by attributes which attributes are to be aggregated upon (and the aggregate

function). For attributes that are neither group by nor aggregated, we can

still specify conditions by selecting where in the Total row and listing the conditions below

As in SQL, if group by is used, only group by attributes and aggregate results can be output

Page 12: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Banking Example branch (branch_name, branch_city, assets ) customer (customer_name, customer_street, customer_city ) account (account_number, branch_name, balance ) loan (loan_number, branch_name, amount ) depositor (customer_name, account_number ) borrower (customer_name, loan_number )

Page 13: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Chapter 6: Entity-Relationship Model

Design Process Modeling Constraints E-R Diagram Design Issues Weak Entity Sets Extended E-R Features Design of the Bank Database Reduction to Relation Schemas Database Design UML

Page 14: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Modeling

A database can be modeled as: a collection of entities, relationship among entities.

An entity is an object that exists and is distinguishable from other objects. Example: specific person, company, event, plant

Entities have attributes Example: people have names and addresses

An entity set is a set of entities of the same type that share the same properties. Example: set of all persons, companies, trees, holidays

Page 15: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Entity Sets customer and loancustomer_id customer_ customer_ customer_ loan_ amount name street city number

Page 16: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Relationship Sets

A relationship is an association among several entitiesExample:

Hayes depositor A-102customer entity relationship set account entity

A relationship set is a mathematical relation among n 2 entities, each taken from entity sets

{(e1, e2, … en) | e1 E1, e2 E2, …, en En}

where (e1, e2, …, en) is a relationship Example:

(Hayes, A-102) depositor

Page 17: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Relationship Set borrower

Page 18: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Relational Database Design

Features of Good Relational Design Atomic Domains and First Normal Form Decomposition Using Functional Dependencies Functional Dependency Theory Algorithms for Functional Dependencies Decomposition Using Multivalued Dependencies More Normal Form Database-Design Process Modeling Temporal Data

Page 19: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

The Banking Schema branch = (branch_name, branch_city, assets) customer = (customer_id, customer_name, customer_street, customer_city) loan = (loan_number, amount) account = (account_number, balance) employee = (employee_id. employee_name, telephone_number, start_date) dependent_name = (employee_id, dname) account_branch = (account_number, branch_name) loan_branch = (loan_number, branch_name) borrower = (customer_id, loan_number) depositor = (customer_id, account_number) cust_banker = (customer_id, employee_id, type) works_for = (worker_employee_id, manager_employee_id) payment = (loan_number, payment_number, payment_date,

payment_amount) savings_account = (account_number, interest_rate) checking_account = (account_number, overdraft_amount)

Page 20: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Combine Schemas?

Suppose we combine borrow and loan to get bor_loan = (customer_id, loan_number, amount )

Result is possible repetition of information (L-100 in example below)

Page 21: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

A Combined Schema Without Repetition

Consider combining loan_branch and loanloan_amt_br = (loan_number, amount, branch_name)

No repetition (as suggested by example below)

Page 22: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

What About Smaller Schemas?

Suppose we had started with bor_loan. How would we know to split up (decompose) it into borrower and loan?

Write a rule “if there were a schema (loan_number, amount), then loan_number would be a candidate key”

Denote as a functional dependency: loan_number amount

In bor_loan, because loan_number is not a candidate key, the amount of a loan may have to be repeated. This indicates the need to decompose bor_loan.

Not all decompositions are good. Suppose we decompose employee intoemployee1 = (employee_id, employee_name)employee2 = (employee_name, telephone_number, start_date)

The next slide shows how we lose information -- we cannot reconstruct the original employee relation -- and so, this is a lossy decomposition.

Page 23: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

A Lossy Decomposition

Page 24: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

First Normal Form

Domain is atomic if its elements are considered to be indivisible units Examples of non-atomic domains:

Set of names, composite attributes Identification numbers like CS101 that can be broken up into parts

A relational schema R is in first normal form if the domains of all attributes of R are atomic

Non-atomic values complicate storage and encourage redundant (repeated) storage of data Example: Set of accounts stored with each customer, and set of

owners stored with each account We assume all relations are in first normal form (and revisit this in

Chapter 9)

Page 25: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Microsoft Access QBE Microsoft Access supports a variant of QBE called Graphical

Query By Example (GQBE) GQBE differs from QBE in the following ways

Attributes of relations are listed vertically, one below the other, instead of horizontally

Instead of using variables, lines (links) between attributes are used to specify that their values should be the same.Links are added automatically on the basis of attribute name, and the

user can then add or delete linksBy default, a link specifies an inner join, but can be modified to specify

outer joins. Conditions, values to be printed, as well as group by attributes are all

specified together in a box called the design grid

Page 26: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Modeling

A database can be modeled as: a collection of entities, relationship among entities.

An entity is an object that exists and is distinguishable from other objects. Example: specific person, company, event, plant

Entities have attributes Example: people have names and addresses

An entity set is a set of entities of the same type that share the same properties. Example: set of all persons, companies, trees, holidays

Page 27: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Entity Sets customer and loancustomer_id customer_ customer_ customer_ loan_ amount name street city number

Page 28: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Relationship Sets

A relationship is an association among several entitiesExample:

Hayes depositor A-102customer entity relationship set account entity

A relationship set is a mathematical relation among n 2 entities, each taken from entity sets

{(e1, e2, … en) | e1 E1, e2 E2, …, en En}

where (e1, e2, …, en) is a relationship Example:

(Hayes, A-102) depositor

Page 29: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Relationship Set borrower

Page 30: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Relationship Sets (Cont.)

An attribute can also be property of a relationship set. For instance, the depositor relationship set between entity sets

customer and account may have the attribute access-date

Page 31: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Degree of a Relationship Set

Refers to number of entity sets that participate in a relationship set.

Relationship sets that involve two entity sets are binary (or degree two). Generally, most relationship sets in a database system are binary.

Relationship sets may involve more than two entity sets.

Relationships between more than two entity sets are rare. Most relationships are binary. (More on this later.)

Example: Suppose employees of a bank may have jobs (responsibilities) at multiple branches, with different jobs at different branches. Then there is a ternary relationship set between entity sets employee, job, and branch

Page 32: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Attributes

An entity is represented by a set of attributes, that is descriptive properties possessed by all members of an entity set.

Domain – the set of permitted values for each attribute Attribute types:

Simple and composite attributes. Single-valued and multi-valued attributes

Example: multivalued attribute: phone_numbers Derived attributes

Can be computed from other attributesExample: age, given date_of_birth

Example: customer = (customer_id, customer_name,

customer_street, customer_city )loan = (loan_number, amount )

Page 33: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Composite Attributes

Page 34: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Mapping Cardinality Constraints

Express the number of entities to which another entity can be associated via a relationship set.

Most useful in describing binary relationship sets. For a binary relationship set the mapping cardinality must be

one of the following types: One to one One to many Many to one Many to many

Page 35: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Mapping Cardinalities

One to one One to many

Note: Some elements in A and B may not be mapped to any elements in the other set

Page 36: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Mapping Cardinalities

Many to one Many to many

Note: Some elements in A and B may not be mapped to any elements in the other set

Page 37: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Keys

A super key of an entity set is a set of one or more attributes whose values uniquely determine each entity.

A candidate key of an entity set is a minimal super key Customer_id is candidate key of customer account_number is candidate key of account

Although several candidate keys may exist, one of the candidate keys is selected to be the primary key.

Page 38: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Keys for Relationship Sets

The combination of primary keys of the participating entity sets forms a super key of a relationship set. (customer_id, account_number) is the super key of depositor NOTE: this means a pair of entity sets can have at most one

relationship in a particular relationship set. Example: if we wish to track all access_dates to each account by each

customer, we cannot assume a relationship for each access. We can use a multivalued attribute though

Must consider the mapping cardinality of the relationship set when deciding the what are the candidate keys

Need to consider semantics of relationship set in selecting the primary key in case of more than one candidate key

Page 39: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

E-R Diagrams

Rectangles represent entity sets. Diamonds represent relationship sets. Lines link attributes to entity sets and entity sets to relationship sets. Ellipses represent attributes

Double ellipses represent multivalued attributes. Dashed ellipses denote derived attributes.

Underline indicates primary key attributes (will study later)

Page 40: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

E-R Diagram With Composite, Multivalued, and Derived Attributes

Page 41: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Relationship Sets with Attributes

Page 42: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Roles

Entity sets of a relationship need not be distinct The labels “manager” and “worker” are called roles; they specify

how employee entities interact via the works_for relationship set. Roles are indicated in E-R diagrams by labeling the lines that

connect diamonds to rectangles. Role labels are optional, and are used to clarify semantics of the

relationship

Page 43: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Cardinality Constraints

We express cardinality constraints by drawing either a directed line (), signifying “one,” or an undirected line (—), signifying “many,” between the relationship set and the entity set.

One-to-one relationship: A customer is associated with at most one loan via the relationship

borrower A loan is associated with at most one customer via borrower

Page 44: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

One-To-Many Relationship

In the one-to-many relationship a loan is associated with at most one customer via borrower, a customer is associated with several (including 0) loans via borrower

Page 45: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Many-To-One Relationships

In a many-to-one relationship a loan is associated with several (including 0) customers via borrower, a customer is associated with at most one loan via borrower

Page 46: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Many-To-Many Relationship

A customer is associated with several (possibly 0) loans via borrower

A loan is associated with several (possibly 0) customers via borrower

Page 47: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Participation of an Entity Set in a Relationship Set

Total participation (indicated by double line): every entity in the entity set participates in at least one relationship in the relationship set E.g. participation of loan in borrower is total

every loan must have a customer associated to it via borrower Partial participation: some entities may not participate in any relationship in

the relationship set Example: participation of customer in borrower is partial

Page 48: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Alternative Notation for Cardinality Limits

Cardinality limits can also express participation constraints

Page 49: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

E-R Diagram with a Ternary Relationship

Page 50: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Cardinality Constraints on Ternary Relationship

We allow at most one arrow out of a ternary (or greater degree) relationship to indicate a cardinality constraint

E.g. an arrow from works_on to job indicates each employee works on at most one job at any branch.

If there is more than one arrow, there are two ways of defining the meaning. E.g a ternary relationship R between A, B and C with arrows to B and C

could mean 1. each A entity is associated with a unique entity from B and C or 2. each pair of entities from (A, B) is associated with a unique C entity,

and each pair (A, C) is associated with a unique B Each alternative has been used in different formalisms To avoid confusion we outlaw more than one arrow

Page 51: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Design Issues

Use of entity sets vs. attributesChoice mainly depends on the structure of the enterprise being modeled, and on the semantics associated with the attribute in question.

Use of entity sets vs. relationship setsPossible guideline is to designate a relationship set to describe an action that occurs between entities

Binary versus n-ary relationship setsAlthough it is possible to replace any nonbinary (n-ary, for n > 2) relationship set by a number of distinct binary relationship sets, a n-ary relationship set shows more clearly that several entities participate in a single relationship.

Placement of relationship attributes

Page 52: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Binary Vs. Non-Binary Relationships

Some relationships that appear to be non-binary may be better represented using binary relationships E.g. A ternary relationship parents, relating a child to his/her father

and mother, is best replaced by two binary relationships, father and motherUsing two binary relationships allows partial information (e.g. only

mother being know) But there are some relationships that are naturally non-binary

Example: works_on

Page 53: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Converting Non-Binary Relationships to Binary Form

In general, any non-binary relationship can be represented using binary relationships by creating an artificial entity set. Replace R between entity sets A, B and C by an entity set E, and three

relationship sets:

1. RA, relating E and A 2.RB, relating E and B3. RC, relating E and C

Create a special identifying attribute for E Add any attributes of R to E For each relationship (ai , bi , ci) in R, create

1. a new entity ei in the entity set E 2. add (ei , ai ) to RA

3. add (ei , bi ) to RB 4. add (ei , ci ) to RC

Page 54: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Converting Non-Binary Relationships (Cont.)

Also need to translate constraints Translating all constraints may not be possible There may be instances in the translated schema that

cannot correspond to any instance of RExercise: add constraints to the relationships RA, RB and RC to

ensure that a newly created entity corresponds to exactly one entity in each of entity sets A, B and C

We can avoid creating an identifying attribute by making E a weak entity set (described shortly) identified by the three relationship sets

Page 55: Computing & Information Sciences Kansas State University Wednesday, 19 Sep 2007CIS 560: Database System Concepts Lecture 13 of 42 Wednesday, 19 September

Computing & Information SciencesKansas State UniversityWednesday, 19 Sep 2007CIS 560: Database System Concepts

Weak Entity Sets

An entity set that does not have a primary key is referred to as a weak entity set.

The existence of a weak entity set depends on the existence of a identifying entity set it must relate to the identifying entity set via a total, one-to-many

relationship set from the identifying to the weak entity set Identifying relationship depicted using a double diamond

The discriminator (or partial key) of a weak entity set is the set of attributes that distinguishes among all the entities of a weak entity set.

The primary key of a weak entity set is formed by the primary key of the strong entity set on which the weak entity set is existence dependent, plus the weak entity set’s discriminator.