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TANG Baoxiang, REN Han. A Recursive Method for Perfect Matching Number Classified with Saturation of a Certain Vertex[J]. Journal of South China Normal University (Natural Science Edition), 2019, 51(5): 110-114. DOI: 10.6054/j.jscnun.2019092
Citation: TANG Baoxiang, REN Han. A Recursive Method for Perfect Matching Number Classified with Saturation of a Certain Vertex[J]. Journal of South China Normal University (Natural Science Edition), 2019, 51(5): 110-114. DOI: 10.6054/j.jscnun.2019092
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A Recursive Method for Perfect Matching Number Classified with Saturation of a Certain Vertex

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  • Two new graphs 2-2nK5 and 2-nZ5 are constructed. Using the nested recursive method, two recursive relations of the perfect matching numbers of graphs 2-2nK5 and 2-nZ5 are obtained, and then the two recursive general solutions are solved. Thus, the formula for calculating the perfect matching number of these two types of graphs is obtained.
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