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...
Ethernet simply refers to the most common type of Local Area Network (LAN) used today. A LAN—in contrast to a WAN (Wide Area Network), which spans a larger geographical area—is a connected network of computers in a small area, like your office, college campus, or even home.What...
Let H be a graph on h vertices, and G be a graph on n vertices. An H-factor of G is a spanning subgraph of G consisting of n/h vertex disjoint copies of H... N Alon,R Yuster - 《Combinatorics Probability & Computing》 被引量: 41发表: 1993年 Moderate...
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an undirected graph, then 6* denotes the symmetric digraph associated with G. LONG CYCLESIN DIGRAPHS least would show that a di— regular tournament has many edge-disjointHamiltonian cycles The above-mentioned result of Erd8s and Galla... C Thomassen 被引量: 40发表: 1979年 On the 2-Linkage...
We are given a directed weighted graph and one distinguished node s, and we would like to find the directed spanning tree rooted in s which minimizes the maximum cost over the agents, where the cost of an agent is the same as in the previous problem. We prove the following two ...
Perfect matchings, spanning trees, plane partitions and statistical physics. This thesis is concerned with perfect matchings of graphs and is organized in three parts. In the first chapter we introduce "cellular graphs," i.e., graph... MA Ciucu - Thesis --THE UNIVERSITY OF MICHIGAN 被引量:...
PAGE 8 TUESDAY, March 10, 2015 chinadailyusa.com $ 1 SPACE Rocket launch test of engine By ZHAO LEI in Bejing zhaolei@chinadaily.com.cn China will soon conduct the first flight of the Long March 6 launch vehicle using the country's new- generation rocket engine, according to a senior sc...
, native to central Asia and then introduced to the west and other parts of the world11,12, is a major fruit crop cultivated in temperate regions today. The United States produces about five mil- lion metric tons on almost 130,309 hectares, making it the second largest apple producer ...
323 Number of Connected Components in an Undirected Graph Medium Solution 324 Wiggle Sort II Solution 325 Maximum Size Subarray Sum Equals k Medium Solution 326 Power of Three Easy Solution 327 Count of Range Sum Hard Solution 328 Odd Even Linked List Easy Solution 329 Longest Increasing Path in...