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A Concise Survey of Matching Preclusion in Interconnection Networks
Journal of Interconnection Networks, 2019The 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. There are other related parameters and generalization including the strong matching preclusion number, the conditional matching preclusion number, the fractional matching preclusion
Yaping Mao, Eddie Cheng
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MATCHING PRECLUSION FOR ALTERNATING GROUP GRAPHS AND THEIR GENERALIZATIONS
International Journal of Foundations of Computer Science, 2008The 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. In this paper, we find this number for the alternating group graphs, Cayley graphs generated by 2-trees and the (n,k)-arrangement graphs.
Eddie Cheng 0001 +3 more
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Strong matching preclusion of burnt pancake graphs
International Journal of Parallel, Emergent and Distributed Systems, 2015The strong matching preclusion number of a graph is the minimum number of vertices and edges whose deletion results in a graph that has neither perfect matchings nor almost perfect matchings. This is an extension of the matching preclusion problem that was introduced by Park and Ihm.
Eddie Cheng 0001 +3 more
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Matching Preclusion and Conditional Matching Preclusion of Exchanged Crossed Cube
SSRN Electronic Journal, 2022Bo Zhu, Shumin Zhang, Chengfu Ye
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Fractional matching preclusion of the restricted HL-graphs
Journal of Combinatorial Optimization, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shunzhe Zhang +3 more
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Conditional Fractional Matching Preclusion Number of Graphs
International Journal of Foundations of Computer ScienceThe conditional fractional matching preclusion number (CFMP number for short) [Formula: see text] of a graph [Formula: see text] is the minimum number of edges whose deletion results in a graph without isolated vertices and without fractional perfect matchings.
Wen Li 0016 +4 more
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Conditional Fractional Matching Preclusion of n-Dimensional Torus Networks
Discrete Applied Mathematics, 2021Jixiang Meng, Yingzhi Tian, Weihua Yang
exaly
Conditional strong matching preclusion of the pancake graph
International Journal of Parallel, Emergent and Distributed Systems, 2022Mohamad Abdallah, Eddie Cheng 0001
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The (Conditional) Matching Preclusion for Burnt Pancake Graphs
Discrete Applied Mathematics, 2013Huiqing Liu, Xiaolan Hu
exaly
Strong Matching Preclusion for k-Ary n-Cubes
Discrete Applied Mathematics, 2013Guozhen Zhang, Kai Feng
exaly

