Bipartite graphs with a perfect matching and digraphsSchedulingMakespanPrecedence ConstraintsBipartite GraphOptimal AlgorithmGiven unit execution time (UET) tasks whose precedence constraints form a directed acyclic graph, the arcs are associated with unit communication time (UCT) delays. The problem is to...
elementary.c 2003ElsevierB.V.Allrightsreserved.Keywords:Planebipartitegraph;Perfectmatching;Z-transformationgraph1.IntroductionLetGbeagraphwithvertex-setV(G)andedge-setE(G).AsubsetE ofE(G)iscalledamatchingofGifnotwoedgesinE shareanend-vertex.Further,amatchingofGissaidtobeperfectifitcoversallverticesofG....
A bipartite graph has a perfect matching if and only if every subset αα of one part has a neighborhood ββ in the other part such that |β|≥|α||β|≥|α|. This result can be proven with a similar approach. It is likely known to those familiar with the topic, but still might...
whenever a bipartite graph fails to have a perfect matching, there's an easy way to convince someone of this: just show them a constricted set.In fact, given this Theorem, it is not hard to extend it to show something slightly stronger: if a bipartite graph has no perfect matching, then...
Perfect Matchings of Regular Bipartite Graphsdoi:10.1002/jgt.22076perfectmatchingregulargraphbipartitegraphLet G be a regular bipartite graph and (G,∅). In fact, we prove that for a given signed regular bipartite graph with minimum signature, it is possible to find perfect matchings that contain...
3.In this paper, according to Kuhn-Munkres algorithm, the authors propose a symbolic algorithm based on ADD data structure for the maximum weight matching in bipartite graphs.利用代数决策图ADD数据结构,在KM算法基础上,提出了一种二部图最大权匹配的符号ADD算法。 3)chordal bipartite graph弦二部图 1...
Accordingly, it follows that the block graph of every nontrivial component of Z( G) is a path. In addition, we give a simple characterization for a maximum matching of G being a cut-vertex of Z( G). 展开 关键词: Plane bipartite graph Perfect matching Maximum matching Z-transformation ...
3) perfect matching 完美匹配 1. Minimum degree distance of unicyclic graphs with perfect matching; 具最小度距离的完美匹配单圈图 2. On the second largest Laplacian eigenvalues of trees with nearly perfect matchings; 关于几乎完美匹配树的第二大Laplacian特征值(英文) 3. Enumeration of perfect ...
2) maximum matching of bipartite graph 二部图的最大匹配3) max weighted bipartite matching 最大权二部图匹配4) minimum weighted bipartite perfect matching 最小权二部图完美匹配5) maximum weight matching of bipartite graph 二部图最大权匹配...
6) bipartite graph maximum matching 二分图最大匹配补充资料:二部图 二部图 graph, bipartite 二部图[,户,饰耐扭;印a中月明。业“l,平色甲(bicb印11以tic脚ph) 一个图,它的顶点集V可以分拆为两个不相交集V‘和v。(即v=r Uv‘,v’门V”=必),使它的每一边都连结V‘的一顶点与V“的一顶点....