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
- EP ID EP651639
- DOI 10.24297/jam.v11i10.801
- Views 167
- Downloads 0
Parameter Class for Solving Delay Differential Equations
In this paper a parameter class of Linear multistep method are applied to solve delay differential equations of the form y’(t) = f(t; y(t); y(t- t(t))), (t >0) subject to the initial condition y(t) = j (t) for tmin&...
Linear and Weakly Non-Linear Analyses of Gravity Modulation and Electric Field on the Onset of Rayleigh-Bénard Convection in a Micropolar Fluid
The effect of time periodic body force (or g-jitter or gravity modulation) on the onset of Rayleigh-B©nard electro-convention in a micropolar fluid layer is investigated by making linear and non-linear stability analysis...
On a fractional differemtial equation with Jumaries fractional derivative
By a counterexample, we prove that the results obtained in [1] are incorrect and there exist some theoretical mistakes in fractional complex transform.
Variable Thermal Conductivity and Viscosity Flow past a Stretching Porous Surface with Viscous Dissipation through a Porous Medium
In this work, we study variable thermal conductivity and viscosity flow past a porous surface with viscous dissipation through a porous medium. We transformed the governing partial differential equations into ordinary di...
MATHEMATICAL ANALYSIS OF THE ROLE OF DETECTION RATE IN THE DYNAMICAL SPREAD OF HIV-TB CO-INFECTION
Human Immunodeficiency Virus (HIV) co-existing with Tuberculosis (TB) in individuals remains a major global health challenges, with an estimated 1.4 million patients worldwide. These two diseases are enormous public heal...