唐保祥, 任韩. 按饱和顶点分类的完美匹配数的递推求法[J]. 华南师范大学学报(自然科学版), 2019, 51(5): 110-114. doi: 10.6054/j.jscnun.2019092
引用本文: 唐保祥, 任韩. 按饱和顶点分类的完美匹配数的递推求法[J]. 华南师范大学学报(自然科学版), 2019, 51(5): 110-114. doi: 10.6054/j.jscnun.2019092
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

按饱和顶点分类的完美匹配数的递推求法

A Recursive Method for Perfect Matching Number Classified with Saturation of a Certain Vertex

  • 摘要: 构造了2类新图2-2nK5和2-nZ5,用嵌套递推的方法,得到了这2类新图的完美匹配数的2个递推关系式及其通解, 从而得到了这2类图的完美匹配数目的计算公式.

     

    Abstract: 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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