Randomized online graph coloring

S. Vishwanathan
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引用次数: 83

Abstract

It is shown that randomization helps in coloring graphs online, and a simple randomized online algorithm is presented. For 3-colorable graphs the expected number of colors the algorithm uses is O((n log n)/sup 1/2/). The algorithm runs in polynomial time and compares well with the best known polynomial-time offline algorithms. A lower bound is proved for the randomized algorithm.<>
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随机在线图着色
结果表明,随机化有助于图的在线着色,并提出了一种简单的随机化在线算法。对于3色图,算法使用的预期颜色数是O((n log n)/sup 1/2/)。该算法在多项式时间内运行,并与最著名的多项式时间离线算法相比较。证明了随机化算法的下界。
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