An Algorithm for Finding Two Node-Disjoint Paths in Arbitrary Graphs

Mehmet Hakan Karaata

Abstract


Given two distinct vertices (nodes) source s and target t of a graph G = (V, E), the two node-disjoint paths problem is to identify two node-disjoint paths between sV and tV. Two paths are node-disjoint if they have no common intermediate vertices. In this paper, we present an algorithm with O(m)-time complexity for finding two node-disjoint paths between s and t in arbitrary graphs where m is the number of edges. The proposed algorithm has a wide range of applications in ensuring reliability and security of sensor, mobile and fixed communication networks.


Keywords


disjoint paths, distributed systems, fault tolerance, network routing, security

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