An O(n log n + m log log n) maximum weight clique algorithm for circular-arc graphs
โ Scribed by Wei-Kuan Shih; Wen-Lian Hsu
- Book ID
- 113163459
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 852 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
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We present an algorithm to compute, in O m q n log n time, a maximum clique ลฝ . in circular-arc graphs with n vertices and m edges provided a circular-arc model of the graph is given. If the circular-arc endpoints are given in sorted order, the ลฝ . time complexity is O m . The algorithm operates on
Let P be a finite alphabet and x E Z'. A string y E Zm is said to be k-dissimilar to x, if no k length substring of x is equal to any k length substring of y. We present an 0( n log n) algorithm which on input x E 2? and an integer m < n outputs an integer k and y E .Zm such that: (1) y is k-dissimi