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One-to-many node-disjoint paths in (n,k)-star graphs.

Stewart, I. A. and Xiang, Y. (2010) 'One-to-many node-disjoint paths in (n,k)-star graphs.', Discrete applied mathematics., 158 (1). pp. 62-70.

Abstract

We present an algorithm which given a source node and a set of $n-1$ target nodes in the $(n,k)$-star graph $S_{n,k}$, where all nodes are distinct, builds a collection of $n-1$ node-disjoint paths, one from each target node to the source. The collection of paths output from the algorithm is such that each path has length at most $6k-7$, and the algorithm has time complexity $O(k^2n^2)$.

Item Type:Article
Keywords:Interconnection networks, (n,k)-star graphs, Many-to-one node-disjoint paths.
Full text:PDF - Accepted Version (146Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1016/j.dam.2009.08.013
Record Created:21 Oct 2009 16:50
Last Modified:29 Nov 2011 09:17

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