GRAPH COLORING ALGORITHM FOR LARGE SCHEDULING PROBLEMS.

Abstract

A new graph coloring algorithm is presented and compared to a wide variety of known algorithms. The algorithm is shown to exhibit O(n**2) time behavior for most sparse graphs and is found to be particularly well suited for use with large-scale scheduling problems. In addition, a procedure for generating large random test graphs with known chromatic number is presented and is used to evaluate heuristically the capabilities of the algorithms discussed.