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Convexity of Minimal Dominating and Total Dominating Functions of Corona Product Graph of a Cycle with a Complete Graph

by M. Siva Parvathi, B. Maheswari
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 88 - Number 5
Year of Publication: 2014
Authors: M. Siva Parvathi, B. Maheswari
10.5120/15346-3687

M. Siva Parvathi, B. Maheswari . Convexity of Minimal Dominating and Total Dominating Functions of Corona Product Graph of a Cycle with a Complete Graph. International Journal of Computer Applications. 88, 5 ( February 2014), 5-8. DOI=10.5120/15346-3687

@article{ 10.5120/15346-3687,
author = { M. Siva Parvathi, B. Maheswari },
title = { Convexity of Minimal Dominating and Total Dominating Functions of Corona Product Graph of a Cycle with a Complete Graph },
journal = { International Journal of Computer Applications },
issue_date = { February 2014 },
volume = { 88 },
number = { 5 },
month = { February },
year = { 2014 },
issn = { 0975-8887 },
pages = { 5-8 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume88/number5/15346-3687/ },
doi = { 10.5120/15346-3687 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:07:19.853813+05:30
%A M. Siva Parvathi
%A B. Maheswari
%T Convexity of Minimal Dominating and Total Dominating Functions of Corona Product Graph of a Cycle with a Complete Graph
%J International Journal of Computer Applications
%@ 0975-8887
%V 88
%N 5
%P 5-8
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

'Domination in graphs' has been studied extensively and at present it is an emerging area of research in graph theory. An introduction and an extensive overview on domination in graphs and related topics is surveyed and detailed in the two books by Haynes et al. [1,2]. Product of graphs occurs naturally in discrete mathematics as tools in combinatorial constructions. They give rise to an important classes of graphs and deep structural problems. In this paper we study the dominating and total dominating functions of corona product graph of a cycle with a complete graph.

References
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  2. Haynes, T. W. , Hedetniemi, S. T. and Slater, P. J. Fundamentals of domination in graphs, Marcel Dekker, Inc. , New York , (1998).
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  16. Siva Parvathi, M and Maheswari, B. - Minimal total dominating functions of corona product graph of a cycle with a complete graph – International Journal of Applied Information Systems (communicated).
Index Terms

Computer Science
Information Sciences

Keywords

Corona Product Cycle Complete Graph Dominating function Total dominating function.

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