Matthias Beck

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20012026

most citedMaximal Periods of (Ehrhart) Quasi-Polynomials

29 citations · 154 across the 72 of their papers we have counts for

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Showing 2007Show all

3 papers · 1 filter

math.CO2007★ 5 cited

Grid graphs, Gorenstein polytopes, and domino stackings

Matthias Beck, Christian Haase, Steven V. Sam

We examine domino tilings of rectangular boards, which are in natural bijection with perfect matchings of grid graphs. This leads to the study of their associated perfect matching…

math.NT2007

Dedekind-Carlitz Polynomials as Lattice-Point Enumerators in Rational Polyhedra

Matthias Beck, Christian Haase, Asia R. Matthews

We study higher-dimensional analogs of the Dedekind-Carlitz polynomials c(u,v;a,b) := sum_{k=1..b-1} u^[ka/b] v^(k-1), where u and v are indeterminates and a and b are positive int…

math.CO2007★ 29 cited

Maximal Periods of (Ehrhart) Quasi-Polynomials

Matthias Beck, Steven Sam, Kevin Woods

A \emph{quasi-polynomial} is a function defined of the form $q (k) = c_{d} (k) k^{d} + c_{d - 1} (k) k^{d - 1} + ... + c_{0} (k)$ , where $c_{0}, c_{1}, ..., c_{d}$ are periodic functions in $k \in Z$ …