Enumerating Integer Points in Polytopes with Bounded Subdeterminants

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چکیده

We show that one can enumerate the vertices of convex hull integer points in polytopes whose constraint matrices have bounded and nonzero subdeterminants, time polynomial dimension encoding size polytope. This extends a previous result by Artmann et al. who showed linear optimization such be done time.

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ژورنال

عنوان ژورنال: SIAM Journal on Discrete Mathematics

سال: 2022

ISSN: ['1095-7146', '0895-4801']

DOI: https://doi.org/10.1137/21m139935x