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JUST CHROMATIC EXCELLENCE IN FUZZY GRAPHS

Year 2017, Issue: 16, 10 - 18, 01.05.2017

Abstract

Abstaract−Let G be a simple fuzzy graph. A family Γf= {γ, γ2, . . . , γk} of fuzzy sets on a set V is called k-fuzzy colouring of V = (V, σ, µ) if i)∪Γf= σ, ii) γi∩ γj= ∅, iii)for every strong edge (x, y)(i.e., µ(xy) > 0) of G min{γi(x), γi(y)} = 0, (1 ≤ i ≤ k). The minimum number of k for which there exists a k-fuzzy colouring is called the fuzzy chromatic number of G denoted as χf(G). Then Γfis the partition of independent sets of vertices of G in which each sets has the same colour is called the fuzzy chromatic partition. A graph G is called the just χf-excellent if every vertex of G appears as a singleton in exactly one χf-partition of G. This paper aims at the study of the new concept namely Just Chromatic excellence in fuzzy graphs. Fuzzy colourful vertex is defined and studied. We explain these new concepts through examples

JUST CHROMATIC EXCELLENCE IN FUZZY GRAPHS

Year 2017, Issue: 16, 10 - 18, 01.05.2017

Abstract

There are 0 citations in total.

Details

Other ID JA77DV45VA
Journal Section Research Article
Authors

- Dharmalingam This is me

Udaya Suriya This is me

Publication Date May 1, 2017
Submission Date May 1, 2017
Published in Issue Year 2017 Issue: 16

Cite

APA Dharmalingam, .-., & Suriya, U. (2017). JUST CHROMATIC EXCELLENCE IN FUZZY GRAPHS. Journal of New Theory(16), 10-18.
AMA Dharmalingam, Suriya U. JUST CHROMATIC EXCELLENCE IN FUZZY GRAPHS. JNT. May 2017;(16):10-18.
Chicago Dharmalingam, -, and Udaya Suriya. “JUST CHROMATIC EXCELLENCE IN FUZZY GRAPHS”. Journal of New Theory, no. 16 (May 2017): 10-18.
EndNote Dharmalingam -, Suriya U (May 1, 2017) JUST CHROMATIC EXCELLENCE IN FUZZY GRAPHS. Journal of New Theory 16 10–18.
IEEE .-. Dharmalingam and U. Suriya, “JUST CHROMATIC EXCELLENCE IN FUZZY GRAPHS”, JNT, no. 16, pp. 10–18, May 2017.
ISNAD Dharmalingam, - - Suriya, Udaya. “JUST CHROMATIC EXCELLENCE IN FUZZY GRAPHS”. Journal of New Theory 16 (May 2017), 10-18.
JAMA Dharmalingam -, Suriya U. JUST CHROMATIC EXCELLENCE IN FUZZY GRAPHS. JNT. 2017;:10–18.
MLA Dharmalingam, - and Udaya Suriya. “JUST CHROMATIC EXCELLENCE IN FUZZY GRAPHS”. Journal of New Theory, no. 16, 2017, pp. 10-18.
Vancouver Dharmalingam -, Suriya U. JUST CHROMATIC EXCELLENCE IN FUZZY GRAPHS. JNT. 2017(16):10-8.


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