我们说一个边 e 为M -边(M-edge)若e\in M ,否则称之为\bar{M} -边。相似的,一个节点 u 被称为M -匹配的(M-matched)若u 是M 中的一条边的端点,否则称之为M -不匹配的。 现在我们要定义匹配问题中非常重要的两个术语 一个M -alternating path(交错路)是一个路径,其中M -边和\bar{M} -边...
neighbor set/ A0210 Algebra, set theory, and graph theory B0250 Combinatorial mathematics C1160 Combinatorial mathematicsA fractional matching of a graph G is a function f that assigns to each edge a number in [0, 1] such that, for each vertex v, ∑ f(e) ≤ 1, where the sum is ...
The archetypal question in extremal graph theory is “how many edges can an n-vertex graph contain without containing a copy of a forbidden subgraph F?” The answer is the extremal number of F, denoted ex(F;n). The celebrated theorem of Turán [17] gives a formula for ex(Kr;n) and ...
Glenn,Tesler - 《Journal of Combinatorial Theory》 被引量: 197发表: 2000年 The maximum number of perfect matchings in graphs with a given degree sequence We show that the number of perfect matching in a simple graph $G$ with an even number of vertices and degree sequence $d_1,d_2, ....
A matching M of a graph G ( V , E ) is a subset of its edges such that no two edges in M have common endpoints. Matching is a fundamental problem in graph theory, and although there are many sequential algorithms for matching, the distributed algorithms have begun to receive attention ...
Vadim Lozin, in Discrete Applied Mathematics, 2023 3.3 Matching number, co-matching number and c-matching number We repeat that the matching number μ(G) of a graph G is the size of a maximum matching in G. Also, we define the co-matching number of G to be the size of a maximum ma...
MA Henning,A Yeo - 《Journal of Graph Theory》 被引量: 7发表: 2013年 Size of a 3-uniform linear hypergraph This article provides bounds on the size of a 3-uniform linear hypergraph with restricted matching number and maximum degree. In particular, we show that i... N Khare - 《Mathema...
Achievability and converse bounds for more general correlated Erdős-Rényi random graph models are also available in [13,14 To be precise, all but two elements (namely,AiandBk J. Ding is supported in part by the NSF Grant DMS-1757479 and an Alfred Sloan fellowship. Z. Ma is supported ...
The theory involved takes its reference from theMatchingof Bipartite Graph theory. 问题的理论部分来自于图论的二分图匹配. 期刊摘选 The ordinal numbermatchingthe number 80 in a series. 第八十在一列中相应于80的序数. 期刊摘选 Colormatchingprocess is the first step is to run a printer self - test...
In this paper, we prove that the complement of the disjoint union of any number copies of a kind of tree of T-shape is chromatically unique by studying it... R Liu - 《Discrete Mathematics》 被引量: 25发表: 1996年 Semantic Bijectivity and the Uniqueness of Constant-Complement Updates ...