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
Solving the shortest-paths problem on bipartite permutation graphs efficiently
โ Scribed by Lin Chen
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 498 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0020-0190
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We present an algorithm, APD, that solves the distance version of the all-pairs-shortest-path problem for undirected, unweighted \(n\)-vertex graphs in time \(O(M(n) \log n)\), where \(M(n)\) denotes the time necessary to multiply two \(n \times n\) matrices of small integers (which is currently kno
Let G denote an interval graph with n vertices and unit weight edges. In this paper, we present a simple O(n') algorithm for solving the all-pairs shortest path problem on graph G . A recent algorithm for this problem has the same time-complexity but is fairly complicated to describe. However, our a