Edge-connectivity and edge-disjoint spanning trees

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Edge-connectivity and edge-disjoint spanning trees

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Article history: Received 17 July 2013 Accepted 25 November 2013 Available online 13 December 2013 Submitted by R. Brualdi MSC: 05C50 15A18 15A42

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A Property on Edge-disjoint Spanning Trees

The graphs in this note are finite and undirected . We allow multiple edges , but forbid loops . We shall use the notation of Bondy and Murty [1] , unless otherwise stated . Let G be a graph with E ( G ) ? [ . Let τ ( G ) denote the number of edge-disjoint spanning trees of G . For X ‘ E ( G ) , the notation G ( X ) denotes the spanning subgraph of G with edge set X , whereas G [ X ] denotes th...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2009

ISSN: 0012-365X

DOI: 10.1016/j.disc.2007.11.056