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m·K_1∪T(1,2,n)及其补图的匹配刻画 被引量:2

On Matching Characterization of m·K_1∪T(1,2,n) and Its Complement
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摘要 研究了图的匹配刻画问题,利用匹配根的信息,根据匹配多项式的性质,给出了m.K1∪T(1,2,n)及其补图匹配刻画的充分必要条件是n≠1,2,5,9. This paper has discussed the matching characterization of graphs,using the information of the matching roots and the character of matching polynomials to prove that m·K1∪T(1,2,n) and its complement are matching characterization if and only if n≠1,2,5,9.
作者 申世昌
出处 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第5期13-15,共3页 Journal of Henan Normal University(Natural Science Edition)
基金 国家自然科学基金(10861009)
关键词 形树 匹配多项式 匹配刻画 T-shape trees matching polynomials matching characterization
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参考文献6

  • 1Godsil C D. Algebraic Combinatorics[M] . London: Chapman and Hall, 1993 : 1-31.
  • 2Ghareghani N, Omidi G R. Tayfeh-Rezaie B,Spectral characterization of graphs with index at most [J]. Linear Algebra Appl, 2007,420 : 483-489.
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  • 4申世昌.一类Caterpillars图的匹配刻画[J].纯粹数学与应用数学,2010,26(4):541-545. 被引量:1
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二级参考文献13

  • 1申世昌.T(2,3,n)及补图的匹配唯一性[J].西南师范大学学报(自然科学版),2006,31(2):23-25. 被引量:6
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  • 9申世昌.K_1∪T(1,3,n)及其补图的匹配刻画[J].西南师范大学学报(自然科学版),2009,34(3):5-9. 被引量:6
  • 10马海成.两类图的匹配等价类[J].数学研究,2000,33(2):218-222. 被引量:44

共引文献10

同被引文献12

  • 1张海良.Herschel图的匹配唯一性[J].纯粹数学与应用数学,2006,22(3):300-302. 被引量:1
  • 2马海成.匹配最大根小于等于2的图的匹配等价[J].数学学报(中文版),2006,49(6):1355-1360. 被引量:11
  • 3邦迪·J A,默蒂·U S R.图论及其应用[M].吴望名,李念祖,吴兰芳,等译.北京:科学出版社,1984:12-15.
  • 4Godsil C D.Algebraic Combinatorics[M].New York:Chapman and Hall,1993.
  • 5Ghareghani N,Omidi G R,Tayfeh-Rezaie B.Spectral characterization of graph swith index at most√2+√5[J].Linear Algebra Appl,2007,420:483-489.
  • 6Cvetkovic D M,Doob M,Sachs H.Spectra of Graphs[M].New York:Academic Press,1980.
  • 7Beezet R A,Farrell E J.The matching polynomials of a regular graphs[J].discrete Math,1995,137:7-18.
  • 8GODSIL C D.Algebraic combinatories[M].New York:Chapman and Hall, 1993.
  • 9ZHAO Haixing, LIU Ruying.On the character of the matching polynomial and its application to circuit characteriza- tion of graphs[J].JCMCC, 2001 (37) : 75-86.
  • 10FARRELL E J,GUO JM.On the characterizing properties of matching polynomial[J].JCMCC, 1997(24):193-200.

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