Path diminution in node-disjoint multipath routing for mobile ad hoc networks is unavoidable with single route discovery
by Ash Mohammad Abbas, Bijendra Nath Jain
International Journal of Ad Hoc and Ubiquitous Computing (IJAHUC), Vol. 5, No. 1, 2010

Abstract: In an ad hoc network, identification of all node-disjoint paths between a given pair of nodes is a challenging task. The phenomena that a protocol is not able to identify all node-disjoint paths that exist between a given pair of nodes is called path diminution. In this paper, we discuss that path diminution is unavoidable when a protocol discovers multiple node-disjoint paths in a single route discovery. We discuss schemes to mitigate path diminution. However, no such scheme is guaranteed to discover all node-disjoint paths that exist between a given pair of nodes. We have proved that one cannot devise an efficient algorithm that is guaranteed to compute all node-disjoint paths between a given pair of nodes in a single route discovery.

Online publication date: Thu, 03-Dec-2009

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