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Reseach Article

An Interval Graph with Alternate Cliiques of Size 3- Signed Roman Domination

by M. Reddappa, C. Jaya Subba Reddy, B. Maheswari
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 177 - Number 22
Year of Publication: 2019
Authors: M. Reddappa, C. Jaya Subba Reddy, B. Maheswari
10.5120/ijca2019919655

M. Reddappa, C. Jaya Subba Reddy, B. Maheswari . An Interval Graph with Alternate Cliiques of Size 3- Signed Roman Domination. International Journal of Computer Applications. 177, 22 ( Dec 2019), 14-18. DOI=10.5120/ijca2019919655

@article{ 10.5120/ijca2019919655,
author = { M. Reddappa, C. Jaya Subba Reddy, B. Maheswari },
title = { An Interval Graph with Alternate Cliiques of Size 3- Signed Roman Domination },
journal = { International Journal of Computer Applications },
issue_date = { Dec 2019 },
volume = { 177 },
number = { 22 },
month = { Dec },
year = { 2019 },
issn = { 0975-8887 },
pages = { 14-18 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume177/number22/31028-2019919655/ },
doi = { 10.5120/ijca2019919655 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:46:35.537982+05:30
%A M. Reddappa
%A C. Jaya Subba Reddy
%A B. Maheswari
%T An Interval Graph with Alternate Cliiques of Size 3- Signed Roman Domination
%J International Journal of Computer Applications
%@ 0975-8887
%V 177
%N 22
%P 14-18
%D 2019
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Today graph theory is one of the most flourishing braches of modern mathematics. Graphs are useful in enhancing the understanding of the organization and behavioural characteristics of complex system. The study of domination in graphs originated around 1850 has become the source of interest to the researchers. Interval graphs have drawn the attention of many researchers for over 40 years. They form a special class of graphs with many interesting properties and revealed their practical relevance for modeling problems arising in the real world. The theory of domination in graphs introduced by Ore [11] and Berge [6] is fast growing area of research in graph theory today. 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]. The concept of signed Roman dominating function was introduced by Ahangar et al. [4]. They present various lower and upper bounds on the signed Roman domination number of a graph and characterized the graphs which have these bounds. The minimal signed Roman dominating functions of corona product graph of a path with a star is studied by Siva Parvathi [13]. In this paper a study of signed Roman domination in an interval graph with alternate cliques of size 3 is carried out.

References
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  2. Haynes, T.W., Hedetniemi, S.T., and Slater, P.J.1998. Fundamentals of domination in graphs, Marcel Dekkar, Inc., New York.
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  10. Jaya Subba Reddy. C., Reddappa, M., and Maheswari. B. 2019. Roman domination in a certain type of interval graph, International Journal of Research and analytical Reviews, 6(1), 665–672.
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Index Terms

Computer Science
Information Sciences

Keywords

Signed Roman dominating function Signed Roman domination number Interval family Interval graph.