An Introduction to Fuzzy Edge Coloring

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 11, Issue 10

Abstract

In this paper, a new concept of fuzzy edge coloring is introduced. The fuzzy edge coloring is an assignment of colors to edges of a fuzzy graph G. It is proper if no two strong adjacent edges of G will receive the same color. Fuzzy edge chromatic number of G is least positive integer for which G has a proper fuzzy edge coloring. In this paper, the fuzzy edge chromatic number of different classes of fuzzy graphs and the fuzzy edge chromatic number of fuzzy line graphs are found. Isochromatic fuzzy graph is also defined.

Authors and Affiliations

Kanzul Fathima K. S, Jahir Hussain R

Keywords

Related Articles

A paradigm shift in mathematical physics, Part 4: Quantum computers and the local realism of all 4 Bell states

Can quantum information systems be understood using local realism? The consensus is No. Quantum information is based on qubits and Bell states. According to conventional wisdom these cannot be understood using local real...

Dufour and radiation effect on MHD boundary layer flow past a wedge through porous medium with heat source and chemical reaction

Magnetohydrodynamics (MHD) boundary layer flow past a wedge with the influence of thermal radiation, heat generation and chemical reaction has been analyzed in the present study. This model used for the momentum, tempera...

Norms Of Hankel-Hessenberg and Toeplitz-Hessenberg Matrices Involving Pell and Pell-Lucas Numbers

We derive some sum formulas for the squares of Pell and Pell-Lucas numbers. We construct Hankel-Hessenberg andToeplitz-Hessenberg matrices whose entries in the first column are HHP = aij , ij i j a P = ; Q HH =...

COMMON FIXED POINT THEOREM IN INTUITIONITIC FUZZY METRIC SPACES

Fixed point is an important branch of analysis to enhance its literature the prime .The object of this paper is to prove the common fixed point theorems for six self mapping taking the pair of maps as coincidentally comm...

Solutions of nonlinear fractional coupled Hirota-Satsuma-KdV Equation

Our interest in the present work is in implementing the FPSM to stress it power in handing the nonlinear fractional coupled Hirota-Satsuma-KdV Equation. The approximate analytical solution of this type equations are obta...

Download PDF file
  • EP ID EP651639
  • DOI 10.24297/jam.v11i10.801
  • Views 163
  • Downloads 0

How To Cite

Kanzul Fathima K. S, Jahir Hussain R (2016). An Introduction to Fuzzy Edge Coloring. JOURNAL OF ADVANCES IN MATHEMATICS, 11(10), 5742-5748. https://europub.co.uk/articles/-A-651639