An Optimal Algorithm to Solve the All-Pairs Shortest Paths Problem on Permutation Graphs
โ Scribed by Sukumar Mondal; Madhumangal Pal; Tapan K. Pal
- Book ID
- 110440134
- Publisher
- Springer Netherlands
- Year
- 2003
- Tongue
- English
- Weight
- 89 KB
- Volume
- 2
- Category
- Article
- ISSN
- 1570-1166
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๐ SIMILAR VOLUMES
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
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