Efficient reduction for path problems on circular-arc graphs
โ Scribed by Srinivasa R. Arikati; C. Pandu Rangan; Glenn K. Manacher
- Book ID
- 105402498
- Publisher
- Springer Netherlands
- Year
- 1991
- Tongue
- English
- Weight
- 509 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0006-3835
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## Abstract We show that for an interval graph given in the form of a family of intervals, a maximum independent set, a minimum covering by disjoint completely connected sets or cliques, and a maximum clique can all be found in __O__(__n__ log __n__) time [__O__(__n__) time if the endpoints of the
In this paper, we study the following all-pair shortest path query problem: Given the interval model of an unweighted interval graph of n vertices, build a data structure such that each query on the shortest path (or its length) between any pair of vertices of the graph can be processed efficiently