K. A self- stabilizing distributed algorithm to construct an arbi- trary spanning tree of a connected graph. Computers and Mathematics with Applications 30, 9 (November 1995), 1-7.Gheorghe Antonoiu and Pradip K. Srimani. A self-stabilizing distributed algorithm to construct an arbitrary ...
For an integer k ≥ 1, a Smarandache spanning k-tree of a connected graph G is a connected spanning subgraph containing all vertices of G with exactly k −1 cycles. If k = 1, then a Smarandache spanning 1-tree is usually called ...
Let k ≥ 2 and n ≥ 1 be integers, and let u and v be a pair of nonadjacent vertices of an n-connected graph G such that deg G (u) + deg G (v) ≥ |G| − 1 − (k − 2)n, where |G| denotes the order of G. Then G has a spanning k-tree if and only if G...
7. What is the minimum number of spanning tree(s) in a connected graph? 1 n nxn 0 Answer The correct answer is:A) 1 Explanation Every connected graph must have at least one spanning tree. Learn & Test Your Skills Python MCQsJava MCQsC++ MCQsC MCQsJavaScript MCQsCSS MCQsjQuery MCQsPHP...
Answer to: Prove that an edge e of a connected graph G is a bridge if and only if e belongs to every spanning tree of G. By signing up, you'll get...
Graph theory Mathematics for Electrical Engineering and Computing Book2003,Mathematics for Electrical Engineering and Computing MaryAttenborough Explore book Spanning trees A spanningtreeof a graph G is a tree T which is a spanning subgraph of G. That is, T has the same vertex set as G. Examples...
[13] obtained upper bounds for the number of spanning trees of a connected graph. Using some ideas in [4], [5], and [13] and other established results, we obtain new upper bounds for the number of spanning trees of a connected graph. 关键词: Spanning Tree Laplacian Eigenvalue 年份:...
算法- 图(Graph)- 生成树(Spanning Tree) Tree),也称为支撑树连通图的极小连通子图,它含有图中全部的n个顶点,恰好只有n-1条边最小生成树(MinimumSpanningTree)最小生成树(MinimumSpanningTree,简称MST) 也称为最小权重生成树(MinimumWeigthSpanningTree)、最小支撑树是所有生成树中,总权值最小的那棵 适用于有...
spanning treeenumeration of treessimple graphextremal graphWe give a shorter proof than the one currently published in literaturethat a specific threshold graph on n vertices and m edges has the fewestspanning trees among all connected simple graphs on n vertices and medges....
This means that there exists a spanning tree with at most k leaves. In this paper, we strengthen the Win theorem to the following: Let G be a simple 2-connected graph such that [Math Processing Error], [Math Processing Error][Math Processing Error] and the number of maximum independent ...