A Self-stabilizing One-To-Many Node Disjoint Paths Routing Algorithm in Star Networks
Abstract
The purpose of the paper is to present the first self-stabilizing algorithm for finding n−1
one-to-many node-disjoint paths in message passing model. Two paths in a network are said to be node disjoint if they do not share any nodes except for the endpoints. Our proposed algorithm works on n-dimensional star networks Sn
. Given a source node s and a set of D={d1,d2,...,dn−1}
of n−1
destination nodes in the n-dimensional star network, our algorithm constructs n−1
node-disjoints paths P1,P2,...,Pn−1
, where Pi
is a path from s to di
, 1≤i≤n−1
. Since the proposed solution is self-stabilizing [7], it does not require initialization and withstands transient faults. The stabilization time of our algorithm is O(n2)
rounds.
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