Applied Set-Valued Analysis and Optimization

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DOI: 10.23952/asvao.5.2023.2.08
Volume 5, Issue 2, 1 August 2023, Pages 233-251

 

Abstract. We consider semidefinite relaxations of Stable-Set and Coloring, which are based on quadratic 0-1 optimization. Information about the stability number and the chromatic number is hidden in the objective function. This leads to simplified relaxations which depend mostly on the number of vertices of the graph. We also propose tightenings of the relaxations which are based on the maximal cliques of the underlying graph. Computational results on graphs from the literature show the strong potential of this new approach.

 

How to Cite this Article:
D. Pucher, F. Rendl, Stable-set and coloring bounds based on 0-1 quadratic optimization, Appl. Set-Valued Anal. Optim. 5 (2023), 233-251.