An O(n0.4)-approximation algorithm for 3-coloring

作者: A. Blum

DOI: 10.1145/73007.73058

关键词:

摘要: This paper presents a polynomial-time algorithm to color any 3-colorable n-node graph with O(n2/5 log8/5n) colors, improving the best previously known bound of O(√n/√logn) colors. By reducing number colors needed graph, also improves for k-coloring fixed k ≥ 3 from previous O((n/log n)1-1/(k-1)) O(n1-1/(k-4/3) An extension further bounds. Precise values appear in table at end this paper.

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