An Analysis of Solution Properties of the Graph Coloring Problem
نویسنده
چکیده
This paper presents an analysis of solutions of the Graph Coloring Problem (GCP). Given an undirected graph G(V,E) with a vertex set V and an edge set E, the goal of GCP is to find a color assignment to every vertex in V such that any pair of adjacent (or connected) vertices receive different colors, and the total number of colors required for the feasible color assignment be minimized; the smallest color size corresponds to the chromatic number χ(G) of graph G. Many practical problems, such as timetable construction [19] or frequency assignment [11], can be mapped into a GCP. Graph coloring is also a classic constraint satisfaction problem with applications to many problems in Artificial Intelligence.
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