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Near Optimal Dual Fault Tolerant Distance Oracle

Authors Dipan Dey, Manoj Gupta

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Dipan Dey
  • IIT Gandhinagar, India
Manoj Gupta
  • IIT Gandhinagar, India

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Dipan Dey and Manoj Gupta. Near Optimal Dual Fault Tolerant Distance Oracle. In 32nd Annual European Symposium on Algorithms (ESA 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 308, pp. 45:1-45:23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
https://doi.org/10.4230/LIPIcs.ESA.2024.45

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 Õ(n²) , 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 Õ(n²) space and O(log n) query time. In addition to improving the query time, our oracle is much simpler than the previous approach.

Subject Classification

ACM Subject Classification
  • Theory of computation
  • Theory of computation → Design and analysis of algorithms
  • Theory of computation → Shortest paths
Keywords
  • Distance Sensitive Oracle
  • Dual Fault Distance Oracle

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