al. (where the above statement was proved when $T$ is the path with three edges) while extending an old result of Erd\\H os and Simonovits.doi:10.48550/arXiv.1511.07274Dhruv MubayiJacques VerstraeteMathematicsA. K. Kelmans, The number of trees in a graph I, II, Automat, Remote ...
The number of trees in a graph I Let G be a graph. Then TV(G) is called an R 2 -vertex-cut if G-T is disconnected and each vertex in V(G)-T has at least two neighbors in G-T. The size of a smallest R 2 -vertex-cut is the R 2 -vertex-connectivity of G and is denote...
On graphs with the maximum number of spanning trees Let Gmn denote the set of simple graphs with n vertices and m edges, t ( G ) the number of spanning trees of a graph G, and F H if t ( Ks \\ E ( F )) t ( K... AK Kelmans - 《Random Structures & Algorithms》 被引量...
作者 Feng,Lihua,Xu,Kexiang,Das... 摘要 The number of spanning trees of a graphGis the total number of distinct spanning subgraphs ofGthat are trees. In this... 收藏 全部来源 免费下载 求助全文 dx.doi.org ...
spanning trees –selfsimilar graphsThe number of spanning trees of a graph, also known as the complexity, is computed for graphs constructed by a replacement procedure yielding a self-similar structure. It is shown that under certain symmetry conditions exact formulas for the complexity can be ...
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Generating formulas for the number of trees in a graph A general approach is given for generation of formulas for the total number of trees of a finite unoriented connected linear graph. The concept of generic factors is introduced for deletion (or addition) of sets of branches from (to) a...
In this paper, we express the number of spanning trees of the [Math Processing Error] K n K_n -complement [Math Processing Error] K n G K_n-G of a bipartite graph G in terms of the determinant of the biadjcency matrices of all induced balanced bipartite subgraphs of G , which are...
The number of spanning trees in circulant graphs Let T ( G ) be the number of spanning trees in graph G. In this note, we explore the asymptotics of T ( G ) when G is a circulant graph with given jumps. T... MJ Golin,X Yong,Y Zhang - 《Discrete Mathematics》 被引量: 93发表...