In this paper, we introduce chromatic number of line graph using α-cuts. The concept of chromatic number of fuzzy graphs was introduced by Munoz et.al, later Eslahchi and onagh. They are defined by the fuzzy chromatic number of complete graphs (kn), cycle graph (cn), star graph (sn), wheel graph (wn), and line graph are found and results are summarized.

1. International Journal of Computing Algorithm, Vol 4(1), June 2015
ISSN(Print):2278-2397
Website: www.ijcoa.com
Fuzzy Chroamtic Number of Line Graph using α-
Cuts
J.Jon Arockiaraj,K.Parthiban
Department of Mathematics, St. Joseph’s college of Arts and Science Cuddalore, Tamilnadu, India
Abstract
In this paper, we introduce chromatic number of line graph using α-cuts. The concept of
chromatic number of fuzzy graphs was introduced by Munoz et.al, later Eslahchi and onagh.
They are defined by the fuzzy chromatic number of complete graphs (kn), cycle graph (cn),
star graph (sn), wheel graph (wn), and line graph are found and results are summarized.