IJPAM: Volume 107, No. 3 (2016)

FUZZY VERTEX ORDER COLOURING

A. Nagoor Gani$^1$, B. Fathima Kani$^2$
$^{1,2}$P.G. and Research Department of Mathematics
Jamal Mohamed College (Autonomous)
Tirchirappalli, 620 020, Tamilnadu, INDIA


Abstract. In this paper three types of strong vertices are introduced.A necessary and sufficient conditions for a vertex to be strong have been given.Some of the properties of $\alpha$-strong,$\beta$-strong and $\gamma$-strong vertices are discussed.Also the concept of vertex order colouring is introduced.An algorithm for vertex order colouring is also given at the end of the chapter.

Received: January 10, 2016

AMS Subject Classification: 03E72, 05C72

Key Words and Phrases: $\alpha$-strong vertex, $\beta$-strong vertex, $\gamma$-strong vertex, underlying crisp graph, complete fuzzy graph, regular graph, chromatic number

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DOI: 10.12732/ijpam.v107i3.9 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: 2016
Volume: 107
Issue: 3
Pages: 601 - 614


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