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Existence of unimodular triangulations — positive results
by
Haase, Christian
, Piechnik, Lindsey C.
, Paffenholz, Andreas
, Santos, Francisco
in
Algebra, Abstract
/ Combinatorial geometry
/ Convex polytopes
/ Geometry, Algebraic
/ Triangularization (Mathematics)
2021
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Do you wish to request the book?
Existence of unimodular triangulations — positive results
by
Haase, Christian
, Piechnik, Lindsey C.
, Paffenholz, Andreas
, Santos, Francisco
in
Algebra, Abstract
/ Combinatorial geometry
/ Convex polytopes
/ Geometry, Algebraic
/ Triangularization (Mathematics)
2021
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eBook
Existence of unimodular triangulations — positive results
2021
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Overview
Unimodular triangulations of lattice polytopes arise in algebraic geometry, commutative algebra, integer programming and, of course,
combinatorics.
In this article, we review several classes of polytopes that do have unimodular triangulations and constructions
that preserve their existence.
We include, in particular, the first effective proof of the classical result by
Knudsen-Mumford-Waterman stating that every lattice polytope has a dilation that admits a unimodular triangulation. Our proof yields an
explicit (although doubly exponential) bound for the dilation factor.
Publisher
American Mathematical Society
Subject
ISBN
1470447169, 9781470447168
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