### Contemporary Methods for Graph Coloring as an Example of Discrete Optimization

#### Abstract

This paper provides an insight into graph coloring

application of the contemporary heuristic methods. It discusses a

variety of algorithmic solutions for The Graph Coloring Problem

(GCP) and makes recommendations for implementation. The

GCP is the NP-hard problem, which aims at finding the minimum

number of colors for vertices in such a way, that none of two

adjacent vertices are marked with the same color.With the advent

of multicore processing technology, the metaheuristic approach

to solving GCP reemerged as means of discrete optimization. To

explain the phenomenon of these methods, the author makes a

thorough survey of AI-based algorithms for GCP, while pointing

out the main differences between all these techniques.

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