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Some Domination Parameters of Direct Product Graphs of Cayley Graphs with Arithmetic Graphs

by S. Uma Maheswari, B. Maheswari, M. Manjuri
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 58 - Number 9
Year of Publication: 2012
Authors: S. Uma Maheswari, B. Maheswari, M. Manjuri
10.5120/9312-3544

S. Uma Maheswari, B. Maheswari, M. Manjuri . Some Domination Parameters of Direct Product Graphs of Cayley Graphs with Arithmetic Graphs. International Journal of Computer Applications. 58, 9 ( November 2012), 32-38. DOI=10.5120/9312-3544

@article{ 10.5120/9312-3544,
author = { S. Uma Maheswari, B. Maheswari, M. Manjuri },
title = { Some Domination Parameters of Direct Product Graphs of Cayley Graphs with Arithmetic Graphs },
journal = { International Journal of Computer Applications },
issue_date = { November 2012 },
volume = { 58 },
number = { 9 },
month = { November },
year = { 2012 },
issn = { 0975-8887 },
pages = { 32-38 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume58/number9/9312-3544/ },
doi = { 10.5120/9312-3544 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:02:01.576733+05:30
%A S. Uma Maheswari
%A B. Maheswari
%A M. Manjuri
%T Some Domination Parameters of Direct Product Graphs of Cayley Graphs with Arithmetic Graphs
%J International Journal of Computer Applications
%@ 0975-8887
%V 58
%N 9
%P 32-38
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Number Theory is one of the oldest branches of mathematics, which inherited rich contributions from almost all greatest mathematicians, ancient and modern. Nathanson [1] paved the way for the emergence of a new class of graphs, namely Arithmetic Graphs by introducing the concepts of Number Theory, particularly, the Theory of Congruences in Graph Theory. Cayley graphs are another class of graphs associated with the elements of a group. If this group is associated with some arithmetic function then the Cayley graph becomes an Arithmetic graph. Inspired by the interplay between Number Theory and Graph Theory several researchers in recent times are carrying out extensive studies on various Arithmetic graphs in which adjacency between vertices is defined through various arithmetic functions. In this paper, we consider direct product graphs of Cayley graphs with Arithmetic graphs and present some domination parameters of these graphs.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Dominating set Total Dominating set Euler Totient Cayley Graph Arithmetic V_n graph Direct Product Graph

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