Results 21 to 30 of about 67,442 (263)
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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Perfect Matchings and Perfect Powers [PDF]
Journal of Algebraic Combinatorics, 2003 In the last decade there have been many results about special families of graphs whose number of perfect matchings is given by perfect or near perfect powers. In this paper we present an approach that allows proving them in a unified way. We use this approach to prove a conjecture of James Propp stating that the number of tilings of the so-called Aztec
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Extending a perfect matching to a Hamiltonian cycle [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Graph ...
Adel Alahmadi +5 more
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On the extremal connective eccentricity index among trees with maximum degree [PDF]
Transactions on Combinatorics, 2021 The connective eccentricity index (CEI) of a graph $G$ is defined as $\xi^{ce}(G)=\sum_{v \in V(G)}\frac{d_G(v)}{\varepsilon_G(v)}$, where $d_G(v)$ is the degree of $v$ and $\varepsilon_G(v)$ is the eccentricity of $v$. In this paper, we characterize the
Fazal Hayat
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Binding Number, Toughness and General Matching Extendability in Graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 A connected graph $G$ with at least $2m + 2n + 2$ vertices which contains a perfect matching is $E(m, n)$-{\it extendable}, if for any two sets of disjoint independent edges $M$ and $N$ with $|M| = m$ and $|N|= n$, there is a perfect matching $F$ in $G ...
Hongliang Lu, Qinglin Yu
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Exploration of CPCD number for power graph
مجلة بغداد للعلوم, 2023 Recently, complementary perfect corona domination in graphs was introduced. A dominating set S of a graph G is said to be a complementary perfect corona dominating set (CPCD – set) if each vertex in is either a pendent vertex or a support vertex and ...
S. Anuthiya, G. Mahadevan, C. Sivagnanam
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Neuroplasticity and MRI: A perfect match [PDF]
NeuroImage, 2016 Numerous studies have illustrated the benefits of physical workout and cognitive exercise on brain function and structure and, more importantly, on decelerating cognitive decline in old age and promoting functional rehabilitation following injury. Despite these behavioral observations, the exact mechanisms underlying these neuroplastic phenomena remain
Julie Hamaide +2 more
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哈林图的偶匹配可扩性(Bipartite matching-extendability of Halin graphs)
Zhejiang Daxue xuebao. Lixue ban, 2009 Let G be a connected graph containing a perfect matching. G is said to be bipartite matching extendable if every matching M of G whose induced subgraph is a bipartite matching extends to a perfect matching of G. The main result is as follows: Halin graph
HUIZhi-hao(惠志昊), ZHAOBiao(赵飚)
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Two short proofs of the Perfect Forest Theorem
Theory and Applications of Graphs, 2017 A perfect forest is a spanning forest of a connected graph $G$, all of whose components are induced subgraphs of $G$ and such that all vertices have odd degree in the forest.
Yair Caro, Josef Lauri, Christina Zarb
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A note on pm-compact bipartite graphs
Discussiones Mathematicae Graph Theory, 2014 A graph is called perfect matching compact (briefly, PM-compact), if its perfect matching graph is complete. Matching-covered PM-compact bipartite graphs have been characterized. In this paper, we show that any PM-compact bipartite graph G with δ (G) ≥ 2
Liu Jinfeng, Wang Xiumei
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