期刊文献+

扇形图和广义扇形图的边控制集划分 被引量:1

Edge Control Set Partition for Fan Graph and Generalized Fan Graph
下载PDF
导出
摘要 通过分类讨论、归纳总结的方法,研究了一些与扇形图有关的图的边控制集划分问题,并对已有文献关于扇形图Fn的集边控制数结论及其证明过程进行了优化改进。还推广提出了广义扇形图Fm,n,并且得到了其较为精确的集边控制数。 Through classification and summarization, this paper studied the edge control set partition for some graphs concerning fan graph, and optimized the conclusion and proof process of set edge control number for the fan graph Fnfrom existing papers. This paper also put forward generalized fan graph Fm,n,and obtained the set edge control number with higher accuracy.
作者 徐保根 孟卓明 张婷婷 Xu Baogen;Meng Zhuoming;Zhang Tingting(School of Science, East China Jiaotong University, Nanchang 330013, China)
出处 《华东交通大学学报》 2018年第2期89-93,共5页 Journal of East China Jiaotong University
基金 国家自然科学基金项目(11361024) 江西省高校科技落地计划项目(KJLD12067) 江西省自然科学基金项目(20171BAB201009) 江西省研究生创新专项资金项目(YC2016-S264)
关键词 边控制集划分 集边控制数 扇形图 edge control set partition set edge control number fan graph
  • 相关文献

参考文献1

二级参考文献13

  • 1HAYNES T W, HEDETNIEMI S T, HENNING M A, et al. Domination in graphs[M]. New York: Marcel Dekker Inc, 1998.
  • 2HAYNES T W, HEDETNIEMI S T, HENNING M A, et al. Fundamentals of domination in graphs[M]. New York: Marcel Dekker Inc, 1998.
  • 3ORE O. Theory of graphs[C]//American Mathematical Society Colloquium, RI, 1962.
  • 4DMKE G S, HEDETNIEMI S T, LASKAR R C. Fractional packings , coverings and irredundance in graphs [J]. Congr Numer, 1988, 66:227 238.
  • 5ZHANG Z F, XU B G. A note on the lower bounds of signed domination number of a graph[J]. Discrete Math, 1999, 195: 295-298.
  • 6XU B G. On signed edge domination numbers of graphs[J]. Discrete Math, 2001, 239: 179-189.
  • 7COCKAYNE E J, HEDETNIEMI S T. Towards a theory of domination in graphs[J]. Networks, 1977, 7: 247-261.
  • 8ZELINKA 13. Edge-domatic number of graph[J]. Czech Math, 1983, 33.. 107-110.
  • 9ZEI.INKA B. Total edge-domatic number of graph[J]. Math Bohe, 1989, 116= 96-100.
  • 10ZELINKA B. Some remarks on domatic numbers of graphs[J]. Casop Pest Mat, 1982, 106= 373-375.

共引文献2

同被引文献2

引证文献1

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