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Finding the k shortest paths

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1 Author(s)
Eppstein, D. ; Dept. of Inf. & Comput. Sci., California Univ., Irvine, CA, USA

We give algorithms for finding the k shortest paths (not required to be simple) connecting a pair of vertices in a digraph. Our algorithms output an implicit representation of these paths in a digraph with n vertices and m edges, in time O(m+n log n+k). We can also find the k shortest paths from a given source s to each vertex in the graph, in total time O(m+n log n+kn). We describe applications to dynamic programming problems including the knapsack problem, sequence alignment, and maximum inscribed polygons

Published in:

Foundations of Computer Science, 1994 Proceedings., 35th Annual Symposium on

Date of Conference:

20-22 Nov 1994