A STUDY ON BONDAGE AND NON BONDAGE NUMBER OF FUZZY GRAPHS AND GRACEFUL GRAPHS

Article Sidebar

PDF
Published: Oct 10, 2017

Main Article Content

R. Jahir Hussain

Abstract

Abstract:In this paper, we deï¬ne the bondage bD(G), Co-bondage bDc(G), and Non- bondge bDn(G) number for any fuzzy directed graph and exact values for some standard directed graphs.We also deï¬ne KP bondage of ladder graph and grid graph and we also discussed with fuzzy graceful graph.
Keywords:Minimum dominating set γD(G), maximum non-bondage number bDn(G),minimum bondage number bD(G).

Downloads

Download data is not yet available.

Article Details

How to Cite
Hussain, R. J. (2017). A STUDY ON BONDAGE AND NON BONDAGE NUMBER OF FUZZY GRAPHS AND GRACEFUL GRAPHS. Journal of Global Research in Mathematical Archives(JGRMA), 4(10), 50–57. Retrieved from https://www.jgrma.com/index.php/jgrma/article/view/349
Issue
Vol. 4 No. 10 (2017): October-2017
Section
Review Articles

Open Access: This is an open-access journal. All articles published in the Journal of Global Research in Mathematical Archives(JGRMA) are made immediately and permanently available under the Creative Commons Attribution 4.0 International (CC BY 4.0) License. Authors retain the copyright of their work and grant Journal of Global Research in Mathematical Archives(JGRMA)  the right of first publication. This license permits unrestricted use, distribution, adaptation, and reproduction in any medium or format, including commercial use, provided the original author(s), source, and license are properly acknowledged.

Google Scholar Indexed | DOI Enabled | OAI-PMH Compliant | Open Access Journal

References

T.L. Baldwin, L. Mili, M.B. Boisen Jr, R. Adapa, Power system observability with minimal phasor measurement placement, IEEE Trans. Power Systems 8 (1993) 707715

E.J.Cockayne, B.L.Hartnell, S.T. Hedetniemi and R. Laskar , Efficient domination in graphs, Technical Report 558 Clemson University, department of mathematical Sciences (1988)

E.J. Cockayne and S.T Hedetniemi; Towards a theory of domination in graphs,Networks,247-261 (1977)

J.F .Fink, M.S.Jacobson, L.F .Kinch and J.Roberts; The bondage number of graph, Discrete Math., 86, 47-57 (1990).

Gerard Jennhwa Chang , Paul Dorbec ,, Mickael Montassier, Andr Raspaud:Generalized power domination of graphs,Discrete Applied Mathematics 160 (2012) 16911698

F. Harary: Graph theory , Addison Wesley , Reading, Massachusetts (1963) [7] R.JahirHussain and R.M. Karthik keyan: Characterization of fuzzy non- bondage number

of fuzzy graphs. Mathematical Sciences int., Research Journal vol4 issue 2 ISSN 2278-8697 [8] V.R. Kulli and B. Janakiram; The non-bondage number of a graph , New York Acadency of Science, (1996)

A.Rosenfeld. Fuzzy graphs, InFuzzysets and their applications to Cognitive and Decision.Eds. Academic press, New York (1975)77-95.

K .R. Sandeep Narayan and M.S. Sunitha ; Connectivity in a Fuzzy Graph and its complement ICSRS Publication ,2012

Sunil Mathew, Sunitha M.S; Fuzzy Graphs: Basic Concepts and Applications, Lap Lambert Academic Publication.

G. Suresh Singh, Sunitha Grace Zacharia : Some Results On Completely Extendable And Weighted Extendable Graphs International Journal Of Mathematical Archive-2016, 92-97 Theory of Domination in Graphs, MRI Lecture Notes Math. I (1979)