Results 1 to 10 of about 577,160 (277)
Tight upper bound on the maximum anti-forcing numbers of graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 Let $G$ be a simple graph with a perfect matching. Deng and Zhang showed that the maximum anti-forcing number of $G$ is no more than the cyclomatic number.
Lingjuan Shi, Heping Zhang
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Eigenvalues and Perfect Matchings [PDF]
Linear Algebra and its Applications, 2005 AMS classification: 05C50, 05C70, 05E30.graph;perfect matching;Laplacian matrix;eigenvalues.
Brouwer, A.E., Haemers, W.H.
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Perfect Matchings with Crossings [PDF]
Algorithmica, 2022 Abstract For sets of n points, n even, in general position in the plane, we consider straight-line drawings of perfect matchings on them. It is well known that such sets admit at least
Oswin Aichholzer +7 more
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Theory and Applications of Graphs, 2022 Given an edge-colored complete graph Kn on n vertices, a perfect (respectively, near-perfect) matching M in Kn with an even (respectively, odd) number of vertices is rainbow if all edges have distinct colors.
Shuhei Saitoh, Naoki Matsumoto, Wei Wu
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Fractional matching preclusion for generalized augmented cubes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 The \emph{matching preclusion number} of a graph is the minimum number of edges whose deletion results in a graph that has neither perfect matchings nor almost perfect matchings.
Tianlong Ma +3 more
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On Eccentric Adjacency Index of Graphs and Trees [PDF]
Mathematics Interdisciplinary Research, 2023 Let $G=(V(G),E(G))$ be a simple and connected graph. The distance between any two vertices $x$ and $y$, denoted by $d_G(x,y)$, is defined as the length of a shortest path connecting $x$ and $y$ in $G$.The degree of a vertex $x$ in $G$, denoted by $\deg_G(
Reza Sharafdini +3 more
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Conditional Matching Preclusion Number of Graphs
Discrete Dynamics in Nature and Society, 2023 The conditional matching preclusion number of a graph G, denoted by mp1G, is the minimum number of edges whose deletion results in the graph with no isolated vertices that has neither perfect matching nor almost-perfect matching.
Yalan Li, Shumin Zhang, Chengfu Ye
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Perfect Matching Preservers [PDF]
The Electronic Journal of Combinatorics, 2006 For two bipartite graphs $G$ and $G'$, a bijection $\psi: E(G) \rightarrow E(G')$ is called a (perfect) matching preserver provided that $M$ is a perfect matching in $G$ if and only if $\psi(M)$ is a perfect matching in $G'$. We characterize bipartite graphs $G$ and $G'$ which are related by a matching preserver and the matching preservers between them.
Brualdi, Richard A. +2 more
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The 2-Factor Polynomial Detects Even Perfect Matchings [PDF]
, 2020 In this paper, we prove that the 2-factor polynomial, an invariant of a planar trivalent graph with a perfect matching, counts the number of 2- factors that contain the the perfect matching as a subgraph. Consequently, we show that the polynomial detects
Baldridge, Scott +2 more
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On the inverse maximum perfect matching problem under the bottleneck-type Hamming distance [PDF]
Communications in Combinatorics and Optimization, 2019 Given an undirected network $G(V,A,\mathbf{c})$ and a perfect matching $M$ of $G$, the inverse maximum perfect matching problem consists of modifying minimally the elements of $\mathbf{c}$ so that $M$ becomes a maximum perfect matching with respect to ...
J. Tayyebi
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