INVERSE DOMINATION NUMBER OF CIRCULANT GRAPH

2020 ◽  
Vol 23 (2) ◽  
pp. 75-83
Author(s):  
V. Jude Annie Cynthia ◽  
A. Kavitha
Keyword(s):  
Domination Number ◽  
Circulant Graph

scholarly journals The integer {k}-domination number of circulant graphs

2020 ◽  
Vol 12 (04) ◽  
pp. 2050055
Author(s):  
Yen-Jen Cheng ◽  
Hung-Lin Fu ◽  
Chia-An Liu
Keyword(s):  
Undirected Graph ◽  
Domination Number ◽  
Difference Set ◽  
Circulant Graph ◽  
Circulant Graphs ◽  
Minimum Value

Let [Formula: see text] be a simple undirected graph. [Formula: see text] is a circulant graph defined on [Formula: see text] with difference set [Formula: see text] provided two vertices [Formula: see text] and [Formula: see text] in [Formula: see text] are adjacent if and only if [Formula: see text]. For convenience, we use [Formula: see text] to denote such a circulant graph. A function [Formula: see text] is an integer [Formula: see text]-domination function if for each [Formula: see text], [Formula: see text] By considering all [Formula: see text]-domination functions [Formula: see text], the minimum value of [Formula: see text] is the [Formula: see text]-domination number of [Formula: see text], denoted by [Formula: see text]. In this paper, we prove that if [Formula: see text], [Formula: see text], then the integer [Formula: see text]-domination number of [Formula: see text] is [Formula: see text].

Medium Domination Number of Certain Graphs

2018 ◽  
Vol 6 (11) ◽  
pp. 130
Author(s):  
K. Uma Samundesvari ◽  
J. Maria Regila Baby
Keyword(s):  
Domination Number

In this paper the author have found out the medium domination number of Helm graph, Friendship graph.

Strong Domination Number of some Path Related Graphs

2017 ◽  
Vol 7 (1) ◽  
pp. 109
Author(s):  
S. K. Vaidya ◽  
Sejal Hiteshbhai Karkar
Keyword(s):  
Domination Number

On Disconnected Domination Number of a Graph

2013 ◽  
Vol 3 (2) ◽  
pp. 17
Author(s):  
S. Balamurugan ◽  
G. Prabakaran
Keyword(s):  
Domination Number

On the Variants of Domination Number of Certain Graphs

2019 ◽  
Vol 10 (4) ◽  
pp. 865-876
Author(s):  
S. Sarah Surya ◽  
Fathima Sana Afrin. S
Keyword(s):  
Domination Number

INVERSE CLIQUE REGULAR DOMINATION NUMBER IN FUZZY GRAPHS

2020 ◽  
Vol 9 (5) ◽  
pp. 2895-2902
Author(s):  
S. Basheer Ahamed ◽  
M. Mohamed Riyazdeen ◽  
M. Magudeskumar
Keyword(s):  
Domination Number ◽  
Fuzzy Graphs
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