Perfect matchings of a graph. Journal of Combinatorial Theory , Series B, 10:183–186, 1971.I. Anderson , Perfect Matchings of a Graph, Journal of Combinatorial Theory B 10 (1971), 183–186.Anderson, I. [1971]: Perfect matchings of a graph. Journal of Combinatorial Theory B 10 (1971)...
Clearly, we have α′(K1∇(Kn−3∪2K1))=n/2−1, and so K1∇(Kn−3∪2K1) has no perfect matchings. Assume that G is a connected graph of order n without perfect matchings. To prove Theorem 3, it suffices to show that ρα(G)≤ρα(K1∇(Kn−3∪2K1)) with equal...
Keywords: Perfect matchings, Pfaffian orientation, Skew adjacency matrix, Carte- sian product, Bipartite graph, Nice cycle. 1. Introduction Aperfect matching of a graph Gis a set of independent edges of Gcovering all vertices of G. Problems involving enumeration of perfect matchings of a graph...
1.Perfect Matchings of Plane Bipartite Graphs and Distributive Lattice Structures;平面二部图的完美匹配和分配格结构 2.The D-graphs of a Graph with Unique Perfect Matching具有唯一完美匹配的D-图(英文) 3.The Theory and the Application of Perfectly Matched Layer in the Seismic Wave Simulation;完美匹配...
$ is a bridgeless cubic graph, Fulkerson conjectured that we can find $6$ perfect matchings $M_1,\\\ldots,M_6$ of $G$ with the property that every edge of $G$ is contained in exactly two of them and Berge conjectured that its edge set can be covered by $5$ perfect matchings....
As for plane perfect matchings, since a perfect matching has [n/2] edges, Dumitrescu [18] obtained an upper bound of [??], where [alpha] = 30. A graph G is called matching-persistent, if by removing any perfect matching M from G, the resulting graph, G - M, still contains a per...
a p erfe t mat hing in a bipartite graph on taining p n � 3 disjoin t p erfe t mat hings in time O ( p nm=� ). 2 1 In tro du tion 1.1 Ov erview The problem of �nding a p erfe t (or a maxim um) mat hing in a bipartite graph is one of the b est kno ...
Perfect Matchings Chapter © 2024 On the perfect matching graph defined by a set of cycles Article 27 November 2015 On Perfect Colorings of Paths Divisible by a Matching Article 01 February 2022 References M. R. Garey and D. S. Johnson: Computers and Intractabilitiy: A Guide to ...
As a consequence, for any integer $D\\ge D_n$, every $\\{D,\\,D+1\\}$-graph of order $n$ contains $\\lceil (D+1)/2 ceil$ disjoint perfect matchings. This extends Csaba et~al.'s breathe-taking result that every $D$-regular graph of sufficiently large order is $1$-...
perm(A):=∑σ∈SnA1,σ1⋅A2,σ2⋅…⋅An,σnperm(A):=∑σ∈SnA1,σ1⋅A2,σ2⋅…⋅An,σn Notice that if AA is adjacency matrix of a bipartite graph then permanent counts exactly number of perfect matchings. Every perfect matching will correspond to some permutation and it ...