Results 241 to 250 of about 140,549 (266)
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Constructing Node-Independent Spanning Trees in Augmented Cubes
Fundamenta Informaticae, 2020For a network, edge/node-independent spanning trees (ISTs) can not only tolerate faulty edges/nodes, but also be used to distribute secure messages. As important node-symmetric variants of the hypercubes, the augmented cubes have received much attention from researchers.
Baolei Cheng +5 more
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Independent spanning trees vs. edge-disjoint spanning trees in locally twisted cubes
Information Processing Letters, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jinn-Shyong Yang, Jou-Ming Chang
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Independent Spanning Trees on Multidimensional Torus Networks
IEEE Transactions on Computers, 2010Two spanning trees rooted at vertex r in a graph G are called independent spanning trees (ISTs) if for each vertex v in G, vner, the paths from vertex v to vertex r in these two trees are internally distinct. If the connectivity of G is k, the IST problem is to construct k ISTs rooted at each vertex.
Shyue-Ming Tang +3 more
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Finding Independent Spanning Trees in Partial k-Trees
2000Spanning trees rooted at a vertex r of a graph G are independent if, for each vertex v in G, all the paths connecting v and r in the trees are pairwise internally disjoint. In this paper we give a linear-time algorithm to find the maximum number of independent spanning trees rooted at any given vertex r in partial k-trees G, that is, graphs G with tree-
Xiao Zhou 0001, Takao Nishizeki
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Completely independent spanning trees in torus networks
Networks, 2011AbstractLet T1, T2, …, Tk be spanning trees in a graph G. If for any two vertices u, v in G, the paths from u to v in T1, T2, …, Tk are pairwise internally disjoint, then T1, T2, …, Tk are completely independent spanning trees in G. Completely independent spanning trees can be applied to fault‐tolerant communication problems in interconnection networks.
Toru Hasunuma, Chie Morisaka
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Average Distance, Independence Number, and Spanning Trees
Journal of Graph Theory, 2013AbstractLet G be a connected graph of order n and independence number α. We prove that G has a spanning tree with average distance at most , if , and at most , if . As a corollary, we obtain, for n sufficiently large, an asymptotically sharp upper bound on the average distance of G in terms of its independence number.
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Reducing the Height of Independent Spanning Trees in Chordal Rings
IEEE Transactions on Parallel and Distributed Systems, 2007This paper is concerned with a particular family of regular 4-connected graphs, called chordal rings. Chordal rings are a variation of ring networks. By adding two extra links (or chords) at each vertex in a ring network, the reliability and fault-tolerance of the network are enhanced.
Jinn-Shyong Yang +2 more
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A Hamilton sufficient condition for completely independent spanning tree
Discrete Applied Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xia Hong 0005, Huihui Zhang
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Dirac's Condition for Completely Independent Spanning Trees
Journal of Graph Theory, 2013AbstractTwo spanning trees T1 and T2 of a graph G are completely independent if, for any two vertices u and v, the paths from u to v in T1 and T2 are internally disjoint. In this article, we show two sufficient conditions for the existence of completely independent spanning trees. First, we show that a graph of n vertices has two completely independent
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Topology-Independent Algorithms Based on Spanning Trees
1990We consider a class of distributed algorithms. Algorithms in this class consist of processes that communicate using a broadcast. We show that local information suffices to implement such an algo rithm on an arbitrary network. We investigate the time complexity and present some experimental results.
Lukkien, J.J. +1 more
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