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2类偶图完美匹配的数目 被引量:12

The Number of Perfect Matching for Two Types of Bipartite Graphs
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摘要 用划分、求和、递推的方法给出了2类偶图完美匹配数目的计算公式.利用所给出的方法,可以计算出许多偶图的所有完美匹配的数目. In this paper,by applying differentiation,summation and re-recursion calculation,several formulas for counting the number of perfect matching for two types of bipartite graphs are given.By the method presented in this paper,the number of all perfect matchings for many bipartite graphs can be calculated.
作者 唐保祥 任韩
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第10期91-95,共5页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(11171114)
关键词 线性递推式 六面体 棋盘 完美匹配 linear recurrence relation hexahedron chessboard perfect matching
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参考文献12

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二级参考文献45

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共引文献77

同被引文献91

  • 1林泓,林晓霞.若干四角系统完美匹配数的计算[J].福州大学学报(自然科学版),2005,33(6):704-710. 被引量:29
  • 2Kasteleyn P W. Graph Theory and Crystal Physics[C]//Harary F. Graph Theory and Theoretical Physics, London: Aca demic Press, 1967 : 43-110.
  • 3Hall G G. A Graphic Model of a Class of Molecules[J]. Int J Math Edu Sci Techno1,1973,4(3) :233-240.
  • 4Cyvin S J ,Gutman I. Kekul6 Structures in Benzennoid Hydrocarbons[M]. Berlin:Springer Press, 1988.
  • 5Ciucu M. Enumeration of Perfect Matehings in Graphs with Reflective Symmetry[J]. J Combin Theory Ser A, 1997,77 87-97.
  • 6Fischer I, Little C H C. Even Circuits of Prescribed Clockwise Parity[J/OL]. Electro J Combin, 2003,10:1-20[2010-04- 20]. http://www, emis. ams. org/journals/EJC/Volume_10/PDF/Vloilr45, pdf.
  • 7Jockusch W. Perfect Mathings and Perfect Squares[J]. J Combin Theory Ser A ,1994,67:100-115.
  • 8Kasteleyn P W. Dimmer Statistics and Phase Transition[J]. Journal of Mathematical Physics, 1963,4:287-293.
  • 9Lovdsz L,Plummer M. Matching Theory[M]. New York:North-Holland Press, 1986.
  • 10Zhang He-ping. The Connectivity of Z-transformation Graphs of Perfect Matchings of Polyominoes[J]. Discrete Mathe- matics, 1996,158 : 257-272.

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二级引证文献31

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