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JOURNALS // Modelirovanie i Analiz Informatsionnykh Sistem // Archive

Model. Anal. Inform. Sist., 2010 Volume 17, Number 2, Pages 99–111 (Mi mais6)

On nonintegral vertices of 3-SAT problem relaxation polytope

A. V. Nikolaev

P. G. Demidov Yaroslavl State University

Abstract: New facts characterizing the vertex set of 3-SAT problem relaxation polytope are established. In particular, the question of preservation of nonintegral vertices under additional linear constraints of stronger relaxations is examined.

Keywords: combinatorial optimization, computational complexity theory, polytopes, face lattice, linear programming.

UDC: 519.16

Received: 11.12.2009



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