Near optimal dual fault tolerant distance oracle

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dc.contributor.author Dey, Dipan
dc.contributor.author Gupta, Manoj
dc.contributor.other 32nd Annual European Symposium on Algorithms (ESA 2024)
dc.coverage.spatial United Kingdom
dc.date.accessioned 2024-10-30T10:20:32Z
dc.date.available 2024-10-30T10:20:32Z
dc.date.issued 2024-09-02
dc.identifier.citation Dey, Dipan and Gupta, Manoj, "Near optimal dual fault tolerant distance oracle", in the 32nd Annual European Symposium on Algorithms (ESA 2024), London, GB, Sep. 02-04, 2024.
dc.identifier.uri https://drops.dagstuhl.de/storage/00lipics/lipics-vol308-esa2024/LIPIcs.ESA.2024.45/LIPIcs.ESA.2024.45.pdf
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/10679
dc.description.abstract We present a dual fault-tolerant distance oracle for undirected and unweighted graphs. Given a set F of two edges, as well as a source node s and a destination node t, our oracle returns the length of the shortest path from s to t that avoids F in O(1) time with a high probability. The space complexity of our oracle is ˜ O(n2) 1, making it nearly optimal in terms of both space and query time. Prior to our work, Pettie and Duan [SODA 2009] designed a dual fault-tolerant distance oracle that required ˜ O(n2) space and O(logn) query time. In addition to improving the query time, our oracle is much simpler than the previous approach.
dc.description.statementofresponsibility by Dipan Dey and Manoj Gupta
dc.language.iso en_US
dc.subject Distance sensitive oracle
dc.subject Dual fault distance oracle
dc.title Near optimal dual fault tolerant distance oracle
dc.type Conference Paper


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