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Basic Minimal Total Dominating Functions of Quadratic Residue Cayley Graphs

by S. Jeelani Begum, B. Maheswari
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 51 - Number 7
Year of Publication: 2012
Authors: S. Jeelani Begum, B. Maheswari
10.5120/8051-1397

S. Jeelani Begum, B. Maheswari . Basic Minimal Total Dominating Functions of Quadratic Residue Cayley Graphs. International Journal of Computer Applications. 51, 7 ( August 2012), 1-5. DOI=10.5120/8051-1397

@article{ 10.5120/8051-1397,
author = { S. Jeelani Begum, B. Maheswari },
title = { Basic Minimal Total Dominating Functions of Quadratic Residue Cayley Graphs },
journal = { International Journal of Computer Applications },
issue_date = { August 2012 },
volume = { 51 },
number = { 7 },
month = { August },
year = { 2012 },
issn = { 0975-8887 },
pages = { 1-5 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume51/number7/8051-1397/ },
doi = { 10.5120/8051-1397 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:49:44.448417+05:30
%A S. Jeelani Begum
%A B. Maheswari
%T Basic Minimal Total Dominating Functions of Quadratic Residue Cayley Graphs
%J International Journal of Computer Applications
%@ 0975-8887
%V 51
%N 7
%P 1-5
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Domination theory is an important branch of Graph Theory and has many applications in Engineering, Communication Networks and many others. Allan, R. B. , and Laskar, R. , [1,2], Cockayne, E. J. ,and Hedetniemi, S. T. , [3], Haynes, T. W. , and Slater, J. S. , [4], have studied various domination parameters of graphs. Graphs associated with certain arithmetic functions which are usually called arithmetic graphs have been studied extensively by many researchers. In this paper we study the minimal total dominating functions and basic minimal total dominating functions (BMTDFs) of quadratic residue Cayley graphs and results on these functions are obtained. The theory of BMTDFs in quadratic residue Cayley graphs is an impulsive and methodical program that provides numerous interesting theoretical and computational aspects. It helps to study the related theory in other classes of graphs for further research and also improves the ability of work in some networks such as telecommunications, mobile applications etc.

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Index Terms

Computer Science
Information Sciences

Keywords

Quadratic Residue Cayley Graph Minimal Total Dominating Function Basic Minimal Total Dominating Function

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