ISA 1991: ISA'91 Algorithms pp 199-207

# Dynamic programming on intervals

• Takao Asano
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 557)

## Abstract

We consider problems on intervals which can be solved by dynamic programming. Specifically, we give an efficient implementation of dynamic programming on intervals. As an application, an optimal sequential partition of a graph G=(V, E) can be obtained in O(m log n) time, where n = ¦V¦ and m = ¦E¦. We also present an O(n log n) time algorithm for finding a minimum weight dominating set of an interval graph G=(V, E), and an O(m log n) time algorithm for finding a maximum weight clique of a circular-arc graph G=(V, E), provided their intersection models of n intervals (arcs) are given.

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