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Parallel Architectures, Algorithms and Programming, International Symposium on (2011)
Tianjin, China
Dec. 9, 2011 to Dec. 11, 2011
ISBN: 978-0-7695-4575-2
pp: 52-56
ABSTRACT
Multiple independent spanning trees have applications to fault tolerance and data broadcasting in distributed networks. There is a conjecture on independent spanning trees: any n-connected graph has n independent spanning trees rooted at an arbitrary vertex. The conjecture has been confirmed only for n-connected graphs with n=4, and it is still open for arbitrary n-connected graphs when n ≥ 5. In this paper, we provide a construction algorithm to find n independent spanning trees for the n-dimensional twisted-cube TNn, where N denotes the number of vertices in TNn. And for n ≥ 3, the height of each indepen- dent spanning tree on TNn is n+1.
INDEX TERMS
broadcasting; independent spanning tree; fault tolerance; twisted-cube
CITATION
Yan Wang, Jianxi Fan, Yuejuan Han, "An Algorithm to Find Optimal Independent Spanning Trees on Twisted-Cubes", Parallel Architectures, Algorithms and Programming, International Symposium on, vol. 00, no. , pp. 52-56, 2011, doi:10.1109/PAAP.2011.59
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