complete bipartite graphminimum color degreeproperly colored cycleA subgraph of an edge-colored graph is said to be properly colored, or shortly PC, if any two adjacent edges have different colors. Fujita, Li, and Zhang gave a decomposition theorem for edge-colorings of complete bipartite graphs...
一个完全图(complete graph)是一种简单图,其中任意两个顶点都是相邻的,一个空图(empty graph)中任意两个顶点都不相邻(即边集为空集)。一个图被称为二部图(bipartite graph),如果该图的顶点集可以划分为两个子集X和Y,使得任意一条边的端点分别在X和Y中,这种划分被称为图的一个二划分(bipartition),X和Y是...
本题给出二部图(bipartite graph)的概念。设G=(V,E)是一类无向图,可以把它们的顶点划分为两个互不相交的子集A和B=V一A,并且这两个子集具有下列性质:(a)A中任何两个顶点在G中都不是相互邻接的;(b)B中任何两个顶点在G中都不是相互邻接的。例如,图8-34就是二部图。对V(G)的一个划分可能是A={0,3...
We present a necessary condition for a complete bipartite graph Km,n to be K1,k-factorizable and a sufficient condition for Km,n to have a K1,k-factorization whenever k is a prime number. These two conditions provide Ushio's necessary and sufficient condition for Km,n to have a K1,2-fa...
If the number of vertices in a complete graph is n, then we denote this graph by Kn. Figure 8.7 shows K5. The graph we would like to draw in the water—gas—electricity problem is an example of a complete bipartite graph. Being bipartite means that its vertices fall into two sets in...
1.Multicolor Ramsey Numbers For Complete Bipartite Versus Complete Graphs and spring 机译:完整二分与完整图的多色Ramsey数 John Lenz ,Dhruv Mubayi - Journal of Graph Theory - 2014 2.Complete bipartite graphs deleted in Ramsey graphs and spring 机译:在Ramsey图表中删除了完整的二分图形 Li Yan...
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...
Let μ1 ≥μ2 ≥ ...μn-1 ≥μn = 0 be the eigen values of the laplacian matrix. The signed laplacian energy is defined as E(G) = Σ|2| =0. In this paper, we define balanced laplacian energy of a complete bipartite graph and its upper bounds are attained. 年份: 2017 收藏...
这道题应该是how to bipartite a graph Taken fromGeeksforGeeks Following is a simple algorithm to find out whether a given graph is Birpartite or not using Breadth First Search (BFS) :- Assign RED color to the source vertex (putting into set U). ...
bigraph. techopedia explains bipartite graph a bipartite graph has two sets of vertices, for example a and b, with the possibility that when an edge is drawn, the connection should be able to connect between any vertex in a to any vertex in b. if the graph does not contain any odd ...