A one-to-one correspondence between colorings and stable sets

A one-to-one correspondence between colorings and stable sets

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Article ID: iaor20102910
Volume: 36
Issue: 6
Start Page Number: 673
End Page Number: 676
Publication Date: Nov 2008
Journal: Operations Research Letters
Authors: ,
Keywords: sets
Abstract:

Given a graph G, we construct an auxiliary graph &Gtilde; with &mmacr; vertices such that the set of all stable sets of &Gtilde; is in one-to-one correspondence with the set of all colorings of G. Then, we show that the Max-Coloring problem in G reduces to the Maximum Weighted Stable set problem in &Gtilde;.

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