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Article:Forcing Independent Spectrum in Graphs

by A.P.Pushpalatha, G.Jothilakshmi, S.Suganthi, V.Swaminathan
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 21 - Number 2
Year of Publication: 2011
Authors: A.P.Pushpalatha, G.Jothilakshmi, S.Suganthi, V.Swaminathan
10.5120/2487-3355

A.P.Pushpalatha, G.Jothilakshmi, S.Suganthi, V.Swaminathan . Article:Forcing Independent Spectrum in Graphs. International Journal of Computer Applications. 21, 2 ( May 2011), 1-6. DOI=10.5120/2487-3355

@article{ 10.5120/2487-3355,
author = { A.P.Pushpalatha, G.Jothilakshmi, S.Suganthi, V.Swaminathan },
title = { Article:Forcing Independent Spectrum in Graphs },
journal = { International Journal of Computer Applications },
issue_date = { May 2011 },
volume = { 21 },
number = { 2 },
month = { May },
year = { 2011 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume21/number2/2487-3355/ },
doi = { 10.5120/2487-3355 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:07:26.710232+05:30
%A A.P.Pushpalatha
%A G.Jothilakshmi
%A S.Suganthi
%A V.Swaminathan
%T Article:Forcing Independent Spectrum in Graphs
%J International Journal of Computer Applications
%@ 0975-8887
%V 21
%N 2
%P 1-6
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Let G = (V, E) be a simple graph. Let S be a maximum independent set of G. A subset T of S is called a forcing subset if T is contained in no other maximum independent subset in G. The independent forcing number of S denoted by fI(G, S) is the cardinality of a minimum forcing subset of S. The independent forcing number of G is the minimum of the independent forcing number of S, where S is a maximum independent subset in G. The independent forcing spectrum of G denoted by SpecI(G) is defined as the set SpecI(G) = {k : there exists a maximum independent set S of G such that fI(G, S) = k}. In this paper, a study of SpecI(G) is made..

References
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Index Terms

Computer Science
Information Sciences

Keywords

Forcing domination number of a graph Forcing spectrum of a graph Forcing independent spectrum of a graph.

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