The number of spanning trees in a graph (network) G, denoted by t(G), is an important invariant of the graph (network) with lots of decisive applications in many disciplines. In the article by Sato (Discrete Math. 2007, 307, 237), the number of spanning trees in an (r, s)‐semi...
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 ...
There is a recursive formula for the number of spanning trees in a graph. 对于一个图的生成树的棵数,存在一个递推公式。 www.kuenglish.info 4. Asymptotic Properties of the Number of Spanning Trees in Circulant Graphs 循环图中生成树个数的渐近性质 www.ilib.cn 5. Asymptotic Enumeration Theorem ...
摘要 The number of spanning trees of a graphGis the total number of distinct spanning subgraphs ofGthat are trees. In this... 被引量 8 收藏 全部来源 免费下载 求助全文 dx.doi.org ResearchGate (全网免费下载)...
We establish some bounds for the number of spanning trees of connected graphs in terms of the number of vertices (n), the number of edges (m), maximum vertex degree (Delta(1)), minimum vertex degree (delta), first Zagreb index (M-1), and Randic index (R-1). 关键词: Science(Genera...
On the number of spanning trees a planar graph can have We prove that any planar graph on $n$ vertices has less than $O(5{.}2852^n)$ spanning trees. Under the restriction that the planar graph is 3-connected and... K Buchin,A Schulz - Springer-Verlag 被引量: 78发表: 2010年 BOU...
LetG rmndenote the set of simple graphs withnvertices andmedges,t(G)the number of spanning trees of a graphG,andL(λ, G)the Laplacian polyn... K A.,Kelmans - 《European Journal of Combinatorics》 被引量: 28发表: 1997年 On the Number of Rainbow Spanning Trees in Edge-Colored Complet...
We introduce a new technique for the characterization of t-optimal graphs, based on an upper bound for the number of spanning trees of a graph G in terms of the degree sequence and the number of induced paths of length two of the complement of G. The technique yields the following new ...
The number of spanning trees of composite graphs. 来自 国家科技图书文献中心 喜欢 0 阅读量: 11 作者: J Li,WC Shiu 摘要: Summary: Some formulae for computing the numbers of spanning trees of the corona and the join of graphs are deduced. 关键词: Spanning trees Laplacian spectrum Matrix-...
A Sharp Upper Bound for the Number of Spanning Trees of a Graph Let G=(V,E) be a simple graph with n vertices, e edges and d1 be the highest degree. Further let λi, i=1,2,...,n be the non-increasing eigenvalues of ... Kinkar,Ch.,Das - 《Graphs & Combinatorics》 被引量...