TITLE:
A Non-Conventional Coloring of the Edges of a Graph
AUTHORS:
Sándor Szabó
KEYWORDS:
Maximum Clique; Coloring the Vertices of a Graph; Coloring the Edges of Graph; NP-Complete Problems
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.2 No.4,
November
1,
2012
ABSTRACT: Coloring the nodes of a graph is a commonly used technique to speed up clique search algorithms. Coloring the edges of the graph as a preconditioning method can also be used to speed up computations. In this paper we will show that an unconventional coloring scheme of the edges leads to an NP-complete problem when one intends to determine the optimal number of colors.