IJPAM: Volume 113, No. 2 (2017)

Title

SOME RESULTS ON FUZZY GRAPHS

Authors

P.K. Kishore Kumar$^1$, S. Lavanya$^2$
$^1$Bharathiar University
Coimbatore, INDIA
$^2$Department of Mathematics
Bharathi Women's College
Chennai, INDIA

Abstract

In this paper we analyse the concepts of fuzzy graph coloring identifying the concept of k-fuzzy coloring in a new approach. Also we discuss some concepts on strong arcs in fuzzy graphs and fuzzy line graphs.Also we identify the problem of traffic congestion in round abouts using the strength of connectedness with arcs connected such as $\alpha$ strong arcs, $\beta$ strong arcs, and $\delta$ arcs. $G:\langle V,E \rangle$ is obtained using concept of strong adjacency.

History

Received: January 15, 2017
Revised: February 27, 2017
Published: March 19, 2017
Editorial: March 25, 2017: Editorial typo in name of the first author. Changed from "R.K. Kishore Kumar" to "P.K. Kishore Kumar". Original pdf file is available here..

AMS Classification, Key Words

AMS Subject Classification: 05C72
Key Words and Phrases: $k$-fuzzy coloring,Strength of connectedness,$\alpha$strong arc,$\beta$strong arc and $\delta$ arc.

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Bibliography

1
J.N. Mordeson, C.S. Peng, Operations on fuzzy graphs, Information Sciences, (1994), 159-170, Article ID: 1016.

2
Rakesh Jaiswal and Shweta Rai, Application of fuzzy graph coloring in traffic light problem, International Journal of Innovative Research in Science, Engineering and Technology, 5 (2016), 6950-6955, Article ID: 15680.

3
S. Lavanya and R. Sattanathan, Fuzzy total coloring of fuzzy graphs, International Journal of Information Technology and Knowledge Management, 2, No. 1 (1998), 37-39.

4
Ch. Eslahchi and B.N. Onagh, Vertex strength of fuzzy graph, Hindawi Publishing Corporation (2006), Article ID: 43614.

5
M. Sunil, M.S. Sunitha, Types of arcs in a fuzzy graph, Information Sciences (2009), 1760-1768, Article ID: 1016.

How to Cite?

DOI: 10.12732/ijpam.v113i2.14 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 113
Issue: 2
Pages: 369 - 376


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