Further results on secure restrained domination in graphs

2016 ◽  
Vol 19 (2) ◽  
pp. 277-291 ◽  
Author(s):  
P. Roushini Leely Pushpam ◽  
Chitra Suseendran
Keyword(s):  
Restrained Domination ◽  
Domination In Graphs

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 k-tuple restrained domination in graphs

2020 ◽  
pp. 1-14
Author(s):  
Michael A. Henning ◽  
Adel P. Kazemi
Keyword(s):  
Restrained Domination ◽  
Domination In Graphs

Secure Restrained Domination in Graphs

2015 ◽  
Vol 9 (2) ◽  
pp. 239-247 ◽  
Author(s):  
P. Roushini Leely Pushpam ◽  
Chitra Suseendran
Keyword(s):  
Restrained Domination ◽  
Domination In Graphs

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

scholarly journals Resolving Restrained Domination in Graphs

2021 ◽  
Vol 14 (3) ◽  
pp. 829-841
Author(s):  
Gerald Bacon Monsanto ◽  
Helen M. Rara
Keyword(s):  
Connected Graph ◽  
Dominating Set ◽  
Domination Number ◽  
Lexicographic Product ◽  
Dominating Sets ◽  
Restrained Domination ◽  
Isolated Vertex ◽  
Domination In Graphs ◽  
Product Of Graphs ◽  
Restrained Domination Number

Let G be a connected graph. Brigham et al. [3] defined a resolving dominating setas a set S of vertices of a connected graph G that is both resolving and dominating. A set S ⊆ V (G) is a resolving restrained dominating set of G if S is a resolving dominating set of G and S = V (G) or hV (G) \ Si has no isolated vertex. In this paper, we characterize the resolving restrained dominating sets in the join, corona and lexicographic product of graphs and determine the resolving restrained domination number of these graphs.

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