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倍图的全符号点控制数

On Total Signed Vertex Domination Number in Double Graphs
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摘要 研究了倍图的全符号点控制问题,利用图的全符号点控制数的性质,刻画了倍图的全符号点控制数达到上界的极值图,并且确定了圈和路的倍图的全符号点控制数. In this paper,the total signed vertex domination in double graphs is studied. By the properties of total signed vertex domination in graph,the double graphs with uppers bound of total signed vertex domination are characterized. Furthermore,the total signed vertex domination numbers of double graphs of paths and circles are given.
机构地区 哈尔滨师范大学
出处 《哈尔滨师范大学自然科学学报》 CAS 2015年第1期8-11,共4页 Natural Science Journal of Harbin Normal University
基金 黑龙江省教育厅科学技术研究项目资助(12531203 12521157) 哈尔滨师范大学青年学术骨干项目基金资助(10XBKQ08)
关键词 倍图 全符号点控制函数 全符号点控制数 Double graph Total signed vertex domination function Total signed vertex domination number
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参考文献6

  • 1Bondy J A, Murty V S R. Graph theory with application [ M ]. Amsterdam: Elsevier, 1976.
  • 2Dunbar J E, Hedetniemi, Henning M A, Slater P J. Signed domination in graphs [ A ]. Graph Theory, Combintorics and Application[ C ]. New York: Wiley, 1995.
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二级参考文献15

  • 1吕新忠.图的全符号控制数[J].中国科学(A辑),2007,37(5):573-578. 被引量:12
  • 2Dunbar J. Signed domination in graphs. In: Graph Theory, Combinatorics and Applications, New York: Wiley, 1995, 1:311-322
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  • 6Bondy J A, Murty U S R. Graph Theory with Applications. London and Elsevier, New York: Macmillan, 1976
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  • 8Haynes T W, Hedetniemi S T, Slater P J. Fundamentals of domination in graphs[M]. New York:Marcel Dekker, 1998.
  • 9Dunbar J E, Hedetniemi, Henning M A, Slater P J. Signed domination in graphs[A]. Graph Theory,Combintorics and Application[C]. New York: Wiley, 1995.
  • 10Xu Baogen. On signed edge domination numbers of graphs [J]. Discrete Mathematics, 2001,239:179-189.

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