期刊文献+

关于图的符号控制数的下界 被引量:5

ON THE LOWER BOUNDS OF SIGNED DOMINATION NUMBER OF A GRAPH
下载PDF
导出
摘要 图的符号控制数的研究有许多应用背景 .但图的符号控制数的计算是NP完全问题 ,因而确定其上下界有重大意义 .本文在 [5 ]的基础上 ,引进了新参数δ (G) ,全面改进了 [5 ]所给出的符号控制数的下界 ,并给出了一些可达下界的图 . The signed domiation number has its applying background. The decision problem corresponding to the problem of computing it is NP-complete. So it is usefull to investigate the bounds of it. In this paper, we study the signed domination number graph, and obtain some new lower bounds of signed domination number of a graph represented by the new parameter δ (G), and show that these lower bounds are better than those in , and give some graphs which attain the bounds.
出处 《数学杂志》 CSCD 北大核心 2002年第2期169-173,共5页 Journal of Mathematics
基金 国家自然科学基金资助项目 (198710 34)
关键词 符号控制函数 符号控制数 Graphs The signed domintion funciton The signed domination number
  • 相关文献

参考文献6

  • 1[1]J. Dunbar, et al. Signed domination in graphs, Graphy Theory, Combinatorics and Application [1,1]. Wiley, New York, 1995. 311~322
  • 2[2]J. A. Bondy U. S. R Murty. Graph Theory with Application [M]. Macmillan, London and Elsevier, New York,1976.
  • 3[3]M. A. Henning, P. J. Slater. Ineqality relating domination parameters in cubic graphs[J]. Discrete Math, 1996,158: 87~ 98
  • 4[4]0. Favaron. Signed domination in regular graphs[J]. Discrete Math, 1995, 158:287 ~ 293
  • 5[5]Zhong fu Zhang, Bao gen Xu, Yin zhen Li, Lin zhong Liu. A note on the lower bounds of domination unmber of a graph[J]. Discrete Math 1999, 195:295 ~ 298
  • 6[6]Jean Dumber, Stephan Hedetniemi, Micheal A. Henning, Alice McRae. Minus domination in graph[J]. Discrete Math, 1999, 199:35~47

同被引文献18

  • 1王军秀.特殊图类的符号控制数[J].纯粹数学与应用数学,2005,21(1):59-61. 被引量:6
  • 2Bondy J A, Murty V S R. Graph theory with applications[M]. Amsterdam: Elsevier, 1976.
  • 3Xu B. On signed edge domination numbers of graphs[J]. Discrete Math., 2001, 239: 179-189.
  • 4Cockayne E J, Mynhart C M. On a generalization of signed domination functions of graphs[J]. Ars. Combin, 1996, 43: 235-245.
  • 5Haynes T W, Hedetniemi S T, Slater P J. Domination in graphs[M]. New York: Marcel Dekker, 1998.
  • 6Xu B, Cockayne E J, Haynes T W, et al. Extremal graphs for inequalities involving domination parameters[J]. Discrete Math., 2000, 216: 1-10.
  • 7Zhang Z, Xu 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.
  • 8Pi X,Liu H. On the characterization of trees with signed edge domination numbers 1,2,3, or 4[J]. Discrete Math., 2009, 309: 1779-1782.
  • 9Xu B. On edge domination numbers of graphs[J]. Discrete Math., 2005, 294: 311-316.
  • 10徐保根.关于图的团符号控制数[J].系统科学与数学,2008,28(3):282-287. 被引量:8

引证文献5

二级引证文献18

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部