We prove that the matching graph M ( Q d ) of the d-dimensional hypercube is bipartite for d ≥ 2 and connected for d ≥ 4. This proves another Kreweras' conjecture [G. Kreweras: Matchings and Hamiltonian cycles on hypercubes, Bull. Inst. Combin. Appl. 16 (1996) 87–91] that the...
美 英 un.完全偶图 英汉 un. 1. 完全偶图 例句 释义: 全部,完全偶图
Algorithms for Enumerating All Perfect, Maximum and Maximal Matchings in Bipartite Graphs. For a bipartite graph G = ( V, E ), (1) perfect, (2) maximum and (3) maximal matchings are matchings (1) such that all vertices are incident to some matching edges, (2) whose cardinalities are ...
The exact perfect matching problem asks for a perfect matching in a red-blue graph that has exactly a given number of red edges.We show that for complete and bipartite complete graphs, the exact perfect matching problem is logspace equivalent to the perfect match- ing problem. Hence an ...
complete bipartite graph Wikipedia [kəm¦plēt bī′pär‚tīt ‚graf] (mathematics) A graph whose vertices can be partitioned into two sets such that every edge joins a vertex in one set with a vertex in the other, and each vertex in one set is joined to each vertex in the ...
完全二分图/完全二部图/完全偶图(Complete Bipartite Graph) G=(V,E) 其中V=X∪Y,且X中任意节点与Y中任意节点有且只有一条边(反之亦然)
百度试题 结果1 题目Show that a complete bipartite graph Kmn contains a spanning tree with m +n -1edges. 相关知识点: 试题来源: 解析 Proof 反馈 收藏
First, we present the Turán result for matchings in bipartite graphs as follows. Lemma 2.1 [24] If m≥n≥k, then ext(Km,n,kK2)=m(k−1). Given a graph G, denote by D(G) the set of all vertices in G which are not saturated by at least one maximum matching of G. Let A(...
Consequently, G must be a bipartite graph with partition classes A and B such that f(A)=X and f(B)=Y. Due to Proposition 1, we then find that |A|=knk+ℓ and |B|=ℓnk+ℓ. By the same proposition, we find that each G[xi,yj] contains a perfect matching Mij. We define ...
A complete bipartite graph with n vertices on each side is denoted by Kn,n. We denote the sides by A and B. Thus V(Kn,n)=A∪B. Our result: In this paper, we prove the following theorem: Theorem 1 a′(Kp,p)≤p+2=Δ+2 , when p is an odd prime Remarks 1. Proof of Theore...