a new lower bound for he frequency assignment problem reporter : sang date : 2005/01/06

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A New Lower Bound for he Frequency Assignment Problem Reporter : Sang Date : 2005/01/06

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Page 1: A New Lower Bound for he Frequency Assignment Problem Reporter : Sang Date : 2005/01/06

A New Lower Bound for he Frequency Assignment Problem

Reporter : Sang

Date : 2005/01/06

Page 2: A New Lower Bound for he Frequency Assignment Problem Reporter : Sang Date : 2005/01/06

• :be a set of cells in a cellular system

• :a requirement vector on X is an n-vector with nonnegative integer components.

• :a compatibility matrix on X is a symmetric matrix.

• :a triple characterizes a FAP

•If ,cell and are said to be v-compatible with each other.

Page 3: A New Lower Bound for he Frequency Assignment Problem Reporter : Sang Date : 2005/01/06
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Theorem 1 :Let be an FAP,and assume there exist a subset pair of X such that

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First Kind :

Second Kind :

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