Given a simple and undirected graph, the maximum γ-quasi-clique problem consists in identifying the induced subgraph of maximum order and edge density of at least γ. In this paper we propose a new extended formulation for such a problem obtained by decomposing star inequalities. Preliminary computational results assess the quality of the continuous relaxation with respect to the tightest formulation available in the literature.

A star-based reformulation for the maximum quasi-clique problem

Fabrizio Marinelli
;
Andrea Pizzuti;
2019-01-01

Abstract

Given a simple and undirected graph, the maximum γ-quasi-clique problem consists in identifying the induced subgraph of maximum order and edge density of at least γ. In this paper we propose a new extended formulation for such a problem obtained by decomposing star inequalities. Preliminary computational results assess the quality of the continuous relaxation with respect to the tightest formulation available in the literature.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11566/265505
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