参考文献/References:
[1] Hall G G. A graphic model of a class of molecules[J]. Int J Math Edu Sci Technol,1973,4( 3) : 233-240.
[2] Pauling L. The Nature of Chemical Bond,Cornell[M]. New York: Ithaca Univ Press, 1939.
[3] Cyvin S J,Gutman I. Kekulé Structures in Benzennoid Hydrocarbons[M]. Berlin: Springer Press, 1988.
[4] Kasteleyn P W. Graph theory and crystal physics[C]/ / Harary F. Graph Theory and Theoretical Physics. London: Academic Press, 1967: 43-110.
[5] Lovász L,Plummer M. Matching Theory[M]. New York: North-Holland Press,1986.
[6] Clucu M. Enumeration of perfect matchings in graphs with reflective symmetry[J]. J Combin Theory Ser A, 1997, 77: 87-97.
[7] Fischer 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/V1oi1r45. pdf
[8] Jockusch W. Perfect mathings and perfect squares[J]. J Combin Theory Ser A,1994,67: 100-115.
[9] Kasteleyn P W. The number of dimmer on a quadratic lattice[J]. Physica, 1961, 27( 12) : 1 209-1 225.
[10] Kasteleyn P W. Dimmer statistics and phase transition[J]. Math Phys, 1963,4 : 287-293.
[11] 于青林,刘桂真. 图的因子和匹配可扩性[M]. 北京: 高等教育出版社,2010.
[12] Brightwell G R,Winkler P,Hard C,et al. Adventures at the interface of combinatories and statistical physics[J]. ICM, 2002,3 : 605-624.
[13] Zhang Heping. The connectivity of Z-transformation graphs of perfect matchings of polyominoes[J]. Discrete Mathematics, 1996, 158: 257-272.
[14] Zhang Heping,Zhang Fuji. Perfect matchings of polyomino graphs[J]. Graphs and Combinatorics,1997, 13: 259-304.
[15] 张莲珠. 渺位四角系统完美匹配数的计算[J]. 厦门大学学报: 自然科学版,1998,37( 5) : 629-633.
[16] 张莲珠. 两类四角系统的匹配数与点独立集数[J]. 数学研究,1999,32( 3) : 97-102.
[17] 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.
[18] Yan Weigen,Zhang Fuji. Enumeration of perfect matchings of a type of cartesian products of graphs[J]. Discrete Applied Mathematics,2006, 154: 145-157.
[19] 张洁,孙志人. 拟无爪泛圈图的一个充分条件[J]. 南京师大学报: 自然科学版,2009,32 ( 1) : 22-24.
[20] 晏卫根,叶永南. 一类运算图的匹配数[J]. 中国科学A 辑: 数学,2006,39( 9) : 1 014-1 022.
[21] 唐保祥,任韩. 几类图完美匹配的数目[J]. 南京师大学报: 自然科学版,2010,33 ( 3) : 1-6.
[22] 唐保祥,李刚,任韩. 3 类图完美匹配的数目[J]. 浙江大学学报: 理学版,2011,38 ( 4) : 16-19.
相似文献/References:
[1]唐保祥,任 韩.4类特殊图完美匹配的计数[J].南京师大学报(自然科学版),2013,36(01):10.
Tang Baoxiang,Ren Han.The Number of Perfect Matchings in Four Types of Particular Graphs[J].Journal of Nanjing Normal University(Natural Science Edition),2013,36(01):10.
[2]唐保祥,任 韩.3类图完美匹配数目的计算公式[J].南京师大学报(自然科学版),2016,39(04):0.[doi:10.3969/j.issn.1001-4616.2016.04.001]
Tang Baoxiang,Ren Han.Counting Formulas of the Number of Perfect Matchings ofthe Three Types of Graphs[J].Journal of Nanjing Normal University(Natural Science Edition),2016,39(01):0.[doi:10.3969/j.issn.1001-4616.2016.04.001]
[3]唐保祥,任 韩.2类图的完美匹配数的分类递推求法[J].南京师大学报(自然科学版),2019,42(01):1.[doi:10.3969/j.issn.1001-4616.2019.01.001]
Tang Baoxiang,Ren Han.Classification and Push Solution Method for the Number ofPerfect Matchings of Two Types Graphs[J].Journal of Nanjing Normal University(Natural Science Edition),2019,42(01):1.[doi:10.3969/j.issn.1001-4616.2019.01.001]
[4]唐保祥,任韩.2类图完美匹配数目解析式的嵌套递推求法[J].南京师大学报(自然科学版),2020,43(01):1.[doi:10.3969/j.issn.1001-4616.2020.01.001]
TangBaoxiang,RenHan.TheNestedRecursiveMethodofAnalyticFormulaoftheNumberofPerfectMatchingsforTwoTypesofGraphs[J].Journal of Nanjing Normal University(Natural Science Edition),2020,43(01):1.[doi:10.3969/j.issn.1001-4616.2020.01.001]