Improving the performance guarantee for approximate graph coloring
Journal of the ACM (JACM)
Crytographic limitations on learning Boolean formulae and finite automata
STOC '89 Proceedings of the twenty-first annual ACM symposium on Theory of computing
Cryptographic limitations on learning Boolean formulae and finite automata
Journal of the ACM (JACM)
New approximation algorithms for graph coloring
Journal of the ACM (JACM)
Graph Coloring with Adaptive Evolutionary Algorithms
Journal of Heuristics
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This paper presents a polynomial-time algorithm to color any 3-colorable n-node graph with O(n2/5 log8/5 n) colors, improving the best previously known bound of O(√n/√logn) colors. By reducing the number of colors needed to color a 3-colorable graph, the algorithm also improves the bound for k-coloring for fixed k ≥ 3 from the previous O((n/log n)1-1/(k-1)) colors to O(n1-1/(k-4/3) log8/5 n) colors. An extension of the algorithm further improves the bounds. Precise values appear in a table at the end of this paper.