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# Approximate Shortest Paths Avoiding a Failed Vertex: Optimal Size Data Structures for Unweighted Graphs

@inproceedings{Khanna2010ApproximateSP, title={Approximate Shortest Paths Avoiding a Failed Vertex: Optimal Size Data Structures for Unweighted Graphs}, author={Neelesh Khanna and Surender Baswana}, booktitle={STACS}, year={2010} }

- Published 2010 in STACS
DOI:10.4230/LIPIcs.STACS.2010.2481

Let G = (V, E) be any undirected graph on V vertices and E edges. A path P between any two vertices u, v ∈ V is said to be t-approximate shortest path if its length is at most t times the length of the shortest path between u and v. We consider the problem of building a compact data structure for a given graph G which is capable of answering the following query for any u, v, z ∈ V and t > 1. report t-approximate shortest path between u and v when vertex z fails We present data structures for… CONTINUE READING

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