A STUDY ON FUZZY EQUITABLE EDGE COLORING OF WHEEL RELATED GRAPHS

2020 ◽  
Vol 9 (11) ◽  
pp. 9311-9317
Author(s):  
K. Sivaraman ◽  
R.V. Prasad
Keyword(s):  
Edge Coloring ◽  
Graph Labeling ◽  
Equitable Edge Coloring

Equitable edge coloring is a kind of graph labeling with the following restrictions. No two adjacent edges receive same label (color). and number of edges in any two color classes differ by at most one. In this work we are going to present the Fuzzy equitable edge coloring of some wheel related graphs.

An equitable edge coloring of some classes of product of graphs

2020 ◽  
Vol 8 (4) ◽  
pp. 1354-1357
Author(s):  
Manikandan K. ◽  
Moidhen Aliyar S. ◽  
Manimaran S.
Keyword(s):  
Edge Coloring ◽  
Product Of Graphs ◽  
Equitable Edge Coloring

FUZZY EQUITABLE EDGE COLORING OF SOME SIMPLE GRAPHS

2020 ◽  
Vol 9 (11) ◽  
pp. 9303-9310
Author(s):  
K. Sivaraman ◽  
R.V. Prasad
Keyword(s):  
Edge Coloring ◽  
Simple Graphs ◽  
Equitable Edge Coloring

In our earlier works, we have discussed about the equitable edge coloring of various classes of some simple graphs (or crisp graphs). In this Paper we are going to state and discuss the Fuzzy equitable edge coloring of some classes of simple graphs.

On the Equitable Edge-Coloring of 1-Planar Graphs and Planar Graphs

2017 ◽  
Vol 33 (4) ◽  
pp. 945-953 ◽  
Author(s):  
Dai-Qiang Hu ◽  
Jian-Liang Wu ◽  
Donglei Yang ◽  
Xin Zhang
Keyword(s):  
Planar Graphs ◽  
Edge Coloring ◽  
Equitable Edge Coloring

Graph Coloring

2013 ◽  
pp. 106-126
Author(s):  
Faraz Dadgostari ◽  
Mahtab Hosseininia
Keyword(s):  
Graph Coloring ◽  
Edge Coloring ◽  
Graph Labeling ◽  
Vertex Coloring ◽  
List Coloring ◽  
Simple Type ◽  
Critical Graphs ◽  
Classification Of Graphs ◽  
Edge List

In this chapter a particular type of graph labeling, called graph coloring, is introduced and discussed. In the first part, the simple type of coloring, vertex coloring, is focused. Thus, concerning vertex coloring, some terms and definitions are introduced. Next, some theorems and applying those theorems, some coloring algorithms and applications are introduced. At last, some helpful concepts such as critical graphs, list coloring, and vertex decomposition are presented and discussed. In the second section, edge coloring is focused. Thus, concerning edge coloring, some terms and definitions are described, some important information about edge chromatic number and edge list coloring is presented, and applying them, classification of graphs using the coloring approach is summarized. At last some helpful concepts such as edge list coloring and edge decomposition are illustrated and discussed.

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