Some estimates for the number of vertices of integer polyhedra |
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| Authors: | S I Veselov A Yu Chirkov |
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| Institution: | (1) Department of Computational Mathematics and Cybernetics, State University of Nizhnii Novgorod, pr. Gagarina 23, Nizhnii Novgorod, 603950, Russia |
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| Abstract: | A polyhedron is called integer if its every vertex has integer coordinates. We consider integer polyhedra P I = conv(P ∩ ? d ) defined implicitly; that is, no system of linear inequalities is known for P I but some is known for P. Some estimates are given for the number of vertices of P I . |
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