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完全二部图K9,n(9≤n≤92)的点可区别E-全染色 被引量:3

Vertex-Distinguishing E-Total Coloring of Complete Bipartite Graph K9,n(9≤n≤92)
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摘要 利用反证法、组合分析法及构造具体染色的方法,讨论完全二部图K9,n(9≤n≤92)的点可区别E-全染色问题,给出K9,n(9≤n≤92)的最优点可区别E-全染色,并得到了K9,n(9≤n≤92)的点可区别E-全色数。 By using contradiction,the method of combinatorial analysis and the method of constructing specific coloring,we discussed the vertex-distinguishing E-total(VDET)coloring of complete bipartite graph K9,n(9≤n≤92),gave the optimal VDET coloring of complete bipartite graph K9,n(9≤n≤92),and obtained the VDET chromatic number of K9,n(9≤n≤92).
作者 杨伟光 陈祥恩 YANG Weiguang;CHEN Xiang’en(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)
出处 《吉林大学学报(理学版)》 CAS 北大核心 2020年第2期301-308,共8页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11761064,61163037).
关键词 完全二部图 E-全染色 点可区别E-全染色 点可区别E-全色数 complete bipartite graphs E-total coloring vertex-distinguishing E-total coloring vertex-distinguishing E-total chromatic number
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  • 1陈祥恩.n-方体的点可区别全色数的渐近性态[J].西北师范大学学报(自然科学版),2005,41(5):1-3. 被引量:16
  • 2BALISTER P N, BOLLOBAS B, SCHELP R H. Vertex distinguishing colorings of graphs with A(G) = 2 [J]. Discrete Math., 2002, 252(1-3): 17-29.
  • 3BALISTER P N, RIORDAN O M, SCHELP R H. Vertex distinguishing edge colorings of graphs [J]. J. Graph Theory, 2003, 42(2): 95-109.
  • 4BAZGAN C, HARKAT-BENHAMDINE A, LI Hao. et al. On the vertex-distinguishingproper edge-colorings of graphs [J]. J. Combin. Theory Ser. B, 1999, 7"5(2): 288-301.
  • 5BURRIS A C, SCHELP R H. Vertex-distinguishing proper edge-coJorings [J]. J. Graph Theory, 1997, 26(2): 73-82.
  • 6CERNY J, HORNAK M, SOTAK R. Observability of a graph [J]. Math. Slovaca, 1996, 46(1): 21-31.
  • 7CHEN Xiang'en. Asymptotic behaviour of the vertex-distinguishing total chromatic numbers of n-cubes [J]. Xibei Shifan Daxue Xuebao Ziran Kexue Ban, 2005, 41(5): 1-3.
  • 8HARARY F, PLANTHOLT M. The Point-Distinguishing Chromatic Index [M]. Wiley-Intersci. Publ., Wiley, New York, 1985.
  • 9HORNAK M, SOTAK R. Observability of complete multipartite graphs with equipotent parts [J]. Ars Com- bin., 1995, 41: 289--301.
  • 10HORNAK M, SOTAK R. Asymptotic behaviour of the observability of Qn [J]. Discrete Math., 1997, 176(1- 3): 139-148.

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