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Page 1: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 2: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 3: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 4: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 5: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Greg Aloupis
Greg Aloupis
Greg Aloupis
Greg Aloupis
Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized]
Greg Aloupis
Greg Aloupis
Greg Aloupis
Greg Aloupis
Greg Aloupis
Page 6: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 7: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 8: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 9: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 10: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 11: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 12: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 13: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 14: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 15: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 16: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 17: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 18: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 19: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 20: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 21: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 22: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 23: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 24: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 25: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 26: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 27: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 28: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 29: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 30: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 31: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 32: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 33: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 34: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 35: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 36: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 37: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 38: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 39: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 40: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 41: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 42: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 43: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 44: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 45: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 46: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 47: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 48: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 49: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 50: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 51: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 52: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 53: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 54: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 55: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 56: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 57: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 58: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 59: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 60: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 61: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 62: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 63: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 64: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 65: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 66: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 67: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 68: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 69: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 70: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 71: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 72: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 73: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 74: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 75: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 76: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 77: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 78: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 79: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 80: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 81: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 82: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 83: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 84: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 85: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 86: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 87: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 88: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 89: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 90: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
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Page 92: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
Page 93: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
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Page 95: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
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Page 100: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
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Page 103: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
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Page 107: Tufts Universityaloupis/comp150/classnotes/Fibonacci-heap.pdf · Fibonacci heap: E * decrease-key + V * extract = E * O(1) + V * logV [amortized] Created Date: 4/11/2017 6:35:05 PM
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