许克祥

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教授 博士生导师

招生学科专业:
数学 -- 【招收博士、硕士研究生】 -- 数学学院

毕业院校:南京师范大学

学历:南京师范大学

学位:理学博士学位

所在单位:数学学院

办公地点:南京航空航天大学理学楼275房间

联系方式:xkx_seu@126.com

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On graphs with largest possible game domination number

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所属单位:理学院

发表刊物:DISCRETE MATHEMATICS

关键字:Domination game gamma(g)-maximal graph Supportive dominating set Starlike tree

摘要:Let gamma(G) and gamma(g)(G) be the domination number and the game domination number of a graph G, respectively. In this paper gamma(g)-maximal graphs are introduced as the graphs G for which gamma(g)(G) = 2 gamma(G) - 1 holds. Large families of gamma(g)-maximal graphs are constructed among the graphs in which their sets of support vertices are minimum dominating sets. gamma(g)-maximal graphs are also characterized among the starlike trees, that is, trees which have exactly one vertex of degree at least 3. (C) 2017 Elsevier B.V. All rights reserved.

ISSN号:0012-365X

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发表时间:2018-06-01

合写作者:李霞,Klavzar, Sandi

通讯作者:Klavzar, Sandi,许克祥