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

(1,2) - Domination in the Total Graphs of Cn , Pn and K1,n

In this paper, we discuss the (1,2) - domination in the total graphs of Cn ,  Pnand K1,n  

Maximum likelihood Estimation for Stochastic Differential Equations with two Random Effects in the Diffusion Coefficient

We study n independent stochastic processes(xi (t),tiЄ[o,t1 ],i=1,......n) defined by a stochastic differential equation with diffusion coefficients depending nonlinearly on a random variables  and  ...

Blowup of solution for a reaction diffusion equation with memory and multiple nonlinearities

In this paper, the blow-up of solution for the initial boundary value problem of a class of reaction diffusion equation with memory and multiple nonlinearities is studied. Using a differential inequalities, we obtai...

Splitting Decomposition Homotopy Perturbation Method To Solve One -Dimensional Navier -Stokes Equation

We have proposed in this  research a new scheme to find analytical  approximating solutions for Navier-Stokes equation  of  one  dimension. The  new  methodology depends on combining &n...

Numerical and analytic method for solvingproposal New Type for fuzzy nonlinear volterra integral equation

In this paper, we proved the existence and uniqueness and convergence of the solution of new type for nonlinear fuzzy volterra integral equation . The homotopy analysis method are proposed to solve the new type fuzzy non...

Download PDF file
  • EP ID EP651639
  • DOI 10.24297/jam.v11i10.801
  • Views 173
  • 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