S.D. Bedrosian, Generating formulas for the number of trees i a graph, J. Franklin Inst. 277 (1964) 313{326.S. D. Bedrosian, Generating formulas for the number of trees in a graph, J. Franklin Inst. 277 (1964), 313-326.S. D. Bedrosian: Generating Formulas for the Number of ...
The number of spanning trees of a graph G is the total number of distinct spanning subgraphs of G that are trees. In this paper, we present sharp upper bounds for the number of spanning trees of a graph with given matching number.Keywords: graph, matrix, Laplacian spectrum, spanning tree,...
Let C ( G ) denote the number of spanning trees of a graph G . It is shown that there is a function ( k ) that tends to zero as k tends to infinity such that for every connected, k -regular simple graph G on n vertices C ( G ) = { k [1 -... N Alon - 《Random Struc...
Wagner. The number of spanning trees in self-similar graphs. Ann. Comb. 15 (2), 355-380 (2011a). MR2813521.E. Teufl, S. Wagner, The number of spanning trees in self-similar graphs, preprint, 2008.E. Teufl, S. Wagner, The number of spanning trees in self-similar graphs, Ann. ...
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The number of spanning trees in directed circulant graphs with non-fixed jumps Xiebin Chen - 《Journal of Xiamen University》 - 2005 - 被引量: 36 On the number of a multi-complete /star related graph Yan, K. ...
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The number of trees weakly embedded in the hypercubic lattice, tn, is considered. It is known that limn to infinity tn1n/= lambda 0, and that tn<or= lambda 0n. These facts are proven by noting that trees satisfy a supermultiplicative inequality tntm<or=tn+m. A submultiplicative propert...
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Properties on the Average Number of Spanning Trees in Connected Spanning Subgraphs for an Undirected Graph Consider an undirected graph G = (V, E) with n (= |V|) vertices and m (= |E|) edges. It is well-known that the problem of computing the sequence N n-1, N n... P Cheng,...