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arxiv: 1307.2376 · v1 · pith:C7P2FWLRnew · submitted 2013-07-09 · 🧮 math.CO

Lower bounds for the spanning tree numbers of two graph products

classification 🧮 math.CO
keywords spanningtreeboundsgraphgraphslowernumbernumbers
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For any graph $G$ of order $n$, the spanning tree packing number \emph{$STP(G)$}, is the maximum number of edge-disjoint spanning trees contained in $G$. 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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