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图的并的严格强控制数的若干新结论 被引量:1

Some New Conclusions On Strict Majority Domination Number of Unions of Graphs
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摘要 图的严格强控制数是图的符号控制数的推广,该文在图的符号控制数的基础上,研究了图的严格强控制数,并且得到了Kn-e的严格强控制数,通过对图的并的严格强控制数的研究,进一步得到了一些图的并的严格强控制数与图的阶数的关系。 In this paper, the signal majority domination number of graphs is generalized to strict majority domination number of graphs. We investigate the strict majority domination number of based on the signal majority domination number of graphs. Accord- ing to study for strict majority domination number of some unions of graphs, we determine the strict majority domination number of some unions of graphs and discuss relation the strict majority domination number of some unions of graphs and order number of graphs.
出处 《安庆师范学院学报(自然科学版)》 2012年第2期35-36,共2页 Journal of Anqing Teachers College(Natural Science Edition)
关键词 严格强控制数 闭邻域 完全图 strict majority domination number, closed area, completely figure
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参考文献6

  • 1Dunber J. Signed domination in graph, graph theory, combinatorics, and applications[M]. New York: Wiley, 1995:311 -322 .
  • 2Zhang Z, Zu B, Li Y, et al. A note on the lower bounds of signed domination number of a lit graph[J]. Discrete Math, 1999, 195 : 295 - 298.
  • 3Zu B. On signed edge domination numbers of graphs[ J]. Discrete Math, 2001, 239:179 -189.
  • 4CocKayne E J, Mynhardt C. On a generalization of signed dominating function of graphs[ J]. Arscombin, 1996, 43 : 234 -245.
  • 5Bondy J A, Marry 0 S R. Graph theory with appllcation[ M ]. New York: Macmillan, Landon and Elsevier, 1976.
  • 6任庆军,傅英定.关于图的并的严格强控制数[J].电子科技大学学报,2004,33(4):478-480. 被引量:3

二级参考文献6

  • 1[1]Dunber J. Signed domination in graph, graph theory, combinatorics, and applications[M]. New York: Wiley, 1995. 311-322
  • 2[2]Zhang Z, Zu B, Li Y, et al. A note on the lower bounds of signed domination number of a graph[J]. Discrete Math,1999, 195:295-298
  • 3[3]Zu B. On signed edge domination numbers of graphs[J]. Discrete Math, 2001, 239: 179-189
  • 4[4]CocKayne E J, Mynhardt C. On a generalization of signed dominating function of graphs[J]. Arscombin, 1996, 43:234-245
  • 5[5]Bondy J A, Marty O S R. Graph theory with application[M]. New York: Macmillan, Landon and Elsevier, 1976
  • 6[6]Henning M A, Hind H R. Strict majority functions on graphs[J]. J Gaph Theory, 1998, 28:49-56

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