Professor Iain Stewart i.a.stewart@durham.ac.uk
Professor
One-to-many node-disjoint paths in (n,k)-star graphs
Stewart, I.A.; Xiang, Y.
Authors
Y. Xiang
Abstract
We present an algorithm which given a source node and a set of n−1 target nodes in the (n,k)-star graph Sn,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(k2n2).
Citation
Stewart, I., & Xiang, Y. (2010). One-to-many node-disjoint paths in (n,k)-star graphs. Discrete Applied Mathematics, 158(1), 62-70. https://doi.org/10.1016/j.dam.2009.08.013
Journal Article Type | Article |
---|---|
Publication Date | Jan 6, 2010 |
Deposit Date | Oct 21, 2009 |
Publicly Available Date | Nov 27, 2009 |
Journal | Discrete Applied Mathematics |
Print ISSN | 0166-218X |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 158 |
Issue | 1 |
Pages | 62-70 |
DOI | https://doi.org/10.1016/j.dam.2009.08.013 |
Keywords | Interconnection networks, (n,k)-star graphs, Many-to-one node-disjoint paths. |
Publisher URL | http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6TYW-4X962P9-2-C&_cdi=5629&_user=121711&_orig=search&_coverDate=01%2F06%2F2010&_sk=998419998&view=c&wchp=dGLbVtb-zSkWb&md5=be79741aa626ea15a1c781be3bb64df2&ie=/sdarticle.pdf |
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