Total restrained domination in claw-free graphs

2008 ◽  
Vol 19 (1) ◽  
pp. 60-68 ◽  
Author(s):  
Hongxing Jiang ◽  
Liying Kang
Keyword(s):  
Restrained Domination ◽  
Total Restrained Domination

scholarly journals Total restrained domination in graphs of diameter 2 or 3

2013 ◽  
Vol 7 (1) ◽  
pp. 26
Author(s):  
Zahra Tahmasbzadehbaee ◽  
D Soner Nandappa ◽  
Hossein Abdollahzadeh Ahangar ◽  
Doost Ali Mojdeh ◽  
Yancai Zhao
Keyword(s):  
Restrained Domination ◽  
Total Restrained Domination ◽  
Domination In Graphs

scholarly journals -Tuple Total Restrained Domination in Complementary Prisms

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Adel P. Kazemi
Keyword(s):  
Dominating Set ◽  
Domination Number ◽  
Restrained Domination ◽  
Minimum Number ◽  
Total Restrained Domination ◽  
Complementary Prism ◽  
Total Restrained Domination Number ◽  
Restrained Domination Number

In a graph with , a -tuple total restrained dominating set is a subset of such that each vertex of   is adjacent to at least vertices of and also each vertex of is adjacent to at least vertices of  . The minimum number of vertices of such sets in is the -tuple total restrained domination number of . In [-tuple total restrained domination/domatic in graphs, BIMS], the author initiated the study of the -tuple total restrained domination number in graphs. In this paper, we continue it in the complementary prism of a graph.

scholarly journals On total restrained domination in graphs

2005 ◽  
Vol 55 (1) ◽  
pp. 165-173 ◽  
Author(s):  
De-Xiang Ma ◽  
Xue-Gang Chen ◽  
Liang Sun
Keyword(s):  
Restrained Domination ◽  
Total Restrained Domination ◽  
Domination In Graphs
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