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The Existence Problem of k-γt-Critical Graphs

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成果类型:
期刊论文
作者:
Wang, Yan;Wang, Chunxiang*
通讯作者:
Wang, Chunxiang
作者机构:
[Wang, Yan; Wang, Chunxiang] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构:
[Wang, Chunxiang] C
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Total domination number;Total domination vertex critical graph;5-gamma(t)-critical graph
期刊:
Graphs and Combinatorics
ISSN:
0911-0119
年:
2016
卷:
32
期:
1
页码:
377-402
基金类别:
The authors would like to express their sincere gratitude to the referees for a very careful reading of the paper and for all of their insightful comments and valuable suggestions, which led to a number of improvements in this paper. This work was supported by the National Natural Science Foundation of China (Grant No. 11271149 and 11371162). Financially supported by self-determined research funds of CCNU from the colleges basic research and operation of MOE.
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
A set (Formula presented.) of vertices in graph (Formula presented.) is a total dominating set of (Formula presented.) if every vertex of (Formula presented.) is adjacent to some vertex in (Formula presented.). The minimum cardinality of a total dominating set of (Formula presented.) is the total domination number(Formula presented.). A graph (Formula presented.) with no isolated vertex is total domination vertex critical if for any vertex (Formula presented.) of (Formula presented.) that is not adjacent to a vertex of degree one, the total dom...

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