As it’s known, The Graph k-Colorability Problem (GCP) is a wellknown
NP-Hard Problem. This problem consists in finding the k
minimum number of colors to paint the vertices of a graph in such a way
that any two adjoined vertices, which are connecte
d by an edge, have
always different colors. In another words how can we color the edges of a
graph in such a way that any two edges joined by a vertex have always
different colors? In this paper we introduce a new effective algorithm for
coloring the edges of the graph. Our proposed algorithm enables us to
achieve a Continuously Edge Coloring (CEC) for a set of known graphs.
