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Strong Dominating Sets of Lexicographic Product Graph of Cayley Graphs with Arithmetic Graphs

by M. Manjuri, B. Maheswari
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International Journal of Applied Information Systems
Foundation of Computer Science (FCS), NY, USA
Volume 6 - Number 6
Year of Publication: 2013
Authors: M. Manjuri, B. Maheswari
10.5120/ijais13-451065

M. Manjuri, B. Maheswari . Strong Dominating Sets of Lexicographic Product Graph of Cayley Graphs with Arithmetic Graphs. International Journal of Applied Information Systems. 6, 6 ( December 2013), 25-29. DOI=10.5120/ijais13-451065

@article{ 10.5120/ijais13-451065,
author = { M. Manjuri, B. Maheswari },
title = { Strong Dominating Sets of Lexicographic Product Graph of Cayley Graphs with Arithmetic Graphs },
journal = { International Journal of Applied Information Systems },
issue_date = { December 2013 },
volume = { 6 },
number = { 6 },
month = { December },
year = { 2013 },
issn = { 2249-0868 },
pages = { 25-29 },
numpages = {9},
url = { https://www.ijais.org/archives/volume6/number6/582-1065/ },
doi = { 10.5120/ijais13-451065 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2023-07-05T18:52:43.892551+05:30
%A M. Manjuri
%A B. Maheswari
%T Strong Dominating Sets of Lexicographic Product Graph of Cayley Graphs with Arithmetic Graphs
%J International Journal of Applied Information Systems
%@ 2249-0868
%V 6
%N 6
%P 25-29
%D 2013
%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 [7] paved the way for the emergence of a new class of graphs, namely Arithmetic Graphs by introducing the concepts of Number 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. Product of graphs are introduced in Graph Theory very recently and developing rapidly. In this paper, we consider lexicographic product graphs of Cayley graphs with Arithmetic graphs and present strong domination parameter of these graphs.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Euler Totient Cayley graph Arithmetic V_n graph lexicographic product graph strong domination.

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