Lower bounds for the spanning tree numbers of two graph products

preprint2013arXivOpen access

Abstract

For any graph GG of order nn, the spanning tree packing number \emph{STP(G)STP(G)}, is the maximum number of edge-disjoint spanning trees contained in GG. In this paper, we obtain some sharp lower bounds for the spanning tree numbers of Cartesian product graphs and Lexicographic product graphs.

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