期刊文献+

关于图的减边控制 被引量:15

On Minus Edge Domination in Graphs
下载PDF
导出
摘要 引入了图的减边控制的概念,给出了一个图G的减边控制数γ′m(G)的两个下界,确定了完全图、圈和轮图的减边控制数,并提出了若干未解决的问题和猜想. In this paper we introduce the concept of minus edge domination in graphs,give two lower bounds for the minus edge domination number γ′m(G) of a graph G,and determine minus edge domination numbers for complete graphs、cycles and wheels.In addition,we prpose some open problems and conjectures.
出处 《江西师范大学学报(自然科学版)》 CAS 北大核心 2007年第1期21-24,47,共5页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 国家自然科学基金(10661007) 江西省自然科学基金(511016)资助项目
关键词 减边控制函数 减边控制数 符号边控制函数 符号边控制数 minus edge domination function minus edge domination number signed edge domination function signed edge domination number
  • 相关文献

参考文献9

  • 1Bondy J A,Murty V S R.Graph theory with apphcations[M].New York:Elsevier,1976. 被引量:1
  • 2Cockayne E J,Mynhart C M.On a generalization of signed domination functions of graphs[J].Ars Combin,1996,43:235-245. 被引量:1
  • 3Haynes T W,Hedetniemi S T,Slater P J.Domination in graphs[M].New York:Marcel Dekker,INC,1998. 被引量:1
  • 4Xu Bao-gen.On signed edge domination numbers of graphs[J].Discrete Math,2001,239:179-189. 被引量:1
  • 5Xu Bao-gen.On edge domination numbers of graphs[J].Discrete Math,2005,294:311-316. 被引量:1
  • 6Xu Bao-gen.Two classes of edge domination in graphs[J].Discrete Appl Math,2006,154:1 541-1 546. 被引量:1
  • 7Zhang Z,Xu Bao-gen,Li Y,et al.A note on the lower bounds of signed domination number of a graph[J].Discrete Math,1999,195:295-298. 被引量:1
  • 8Xu Bao-gen,Cockayne E J,Haynes T W,et al.Extremal graphs for inequalities involving domination parameters[J].Discrete Math,2000,216:1-10. 被引量:1
  • 9徐保根.On Minus Domination and Signed Domination in Graphs[J].Journal of Mathematical Research and Exposition,2003,23(4):586-590. 被引量:21

二级参考文献8

  • 1DUNBAR J, HEDETNIEMI S, HENNING M A. et al. Minus dominationin graphs [J]. Discrete Math, 1999, 199: 35-47. 被引量:1
  • 2BONDY J A, MURTY V S R. Graph Theory with Applications [M]. Elsevier, Amsterdam, 1976. 被引量:1
  • 3ZHANG Zhong-fu, XU Bao-gen, LI Yin-zhen. et al. A note on the lower bounds of signed domination number of a graph [J]. Discrete Math, 1999, 195: 295-298. 被引量:1
  • 4LEE J, SOHN M Y, KIM H K. A note on graphs with large girth and small minus domination number [J]. Discrete Applied Math, 1999, 91: 299-303. 被引量:1
  • 5CHARTRAND G, LESNIAK L. Graphs & Digraphs [M]. Second ed. Wadsworth & Brooks/Cole, Monterey, 1986. 被引量:1
  • 6XU Bao-gen, COCKAYNE E J, HAYNES T W. et al. Exteremal graphs for inequalities involving domination parameters [J] . Discrete Math, 2000, 216: 1-10. 被引量:1
  • 7XU Bao-gen, ZHOU Shang-chao. Characterization of connected graphs with maximum domination number [J]. J Math Res Exposition, 2000, 4: 523-528. 被引量:1
  • 8XU Bao-gen. On signed edge domination numbers of graphs [J]. Discrete Math, 2001, 239: 179-189. 被引量:1

共引文献20

同被引文献87

引证文献15

二级引证文献29

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