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
An optimal algorithm to solve the all-pair shortest path problem on interval graphs
โ Scribed by R. Ravi; Madhav V. Marathe; C. Pandu Rangan
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 646 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0028-3045
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๐ SIMILAR VOLUMES
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
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