Abstract
We investigate the problem of colouring random graphs G ε G(n, p) in polynomial expected time. For the case p < 1.01/n, we present an algorithm that finds an optimal colouring in linear expected time. For suficiently large values of p, we give algorithms which approximate the chromatic number within a factor of O(√np). As a byproduct, we obtain an O(√np/ ln(np))-approximation algorithm for the independence number which runs in polynomial expected time provided p 》 ln6 n/n.
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Coja-Oghlan, A., Taraz, A. (2003). Colouring Random Graphs in Expected Polynomial Time. In: Alt, H., Habib, M. (eds) STACS 2003. STACS 2003. Lecture Notes in Computer Science, vol 2607. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36494-3_43
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DOI: https://doi.org/10.1007/3-540-36494-3_43
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