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具有唯一完美匹配的D-图
引用本文:边红.具有唯一完美匹配的D-图[J].数学研究,2009,42(3):275-279.
作者姓名:边红
作者单位:新疆师范大学数理信息学院,新疆,乌鲁木齐,830054
基金项目:The Research Fund for the Doctoral Program of Higher Education,国家自然科学基金
摘    要:为了研究具有完美匹配图的Tuttc集和极端集,文献1,2]提出了一种新的图运算,并且得到了许多有趣的性质。本文中,我们刻画了level(G)=0的具有唯一完美匹配的饱和图G,并且确定了具有唯一完美匹配图的D-图的边数的紧上界。

关 键 词:D-图  唯一完美匹配

The D-graphs of a Graph with Unique Perfect Matching
Bian Hong.The D-graphs of a Graph with Unique Perfect Matching[J].Journal of Mathematical Study,2009,42(3):275-279.
Authors:Bian Hong
Institution:Bian Hong (School of Maths-physics and Information Sciences, Xinjiang Normal University, Urumqi Xinjiang 830054)
Abstract:A new graph operator was introduced to aid in the investigation of Tutte sets and extreme sets of graphs which had perfect matchings in1,2],and many interesting properties had been obtained.In this paper,we characterize the saturated graph G having unique perfect matching with level(G)=0 and give the sharp upper bound of the number of lines of the D-graph D(G) of the graphs with unique perfect matching.
Keywords:D-graphs  unique perfect matching
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