Cleveland State University

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19972026

most citedStatistical topological data analysis using persistence landscapes

506 citations

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Showing 2014Show all

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math.CO2014

Eventual quasi-linearity of the Minkowski length

Ivan Soprunov, Jenya Soprunova

The Minkowski length of a lattice polytope $P$ is a natural generalization of the lattice diameter of $P$ . It can be defined as the largest number of lattice segments whose Minkows…

cs.IT2014

Lattice polytopes in coding theory

Ivan Soprunov

In this paper we discuss combinatorial questions about lattice polytopes motivated by recent results on minimum distance estimation for toric codes. We also prove a new inductive b…

math.CO2014

Tropical determinant on transportation polytope

Sailaja Gajula, Ivan Soprunov, Jenya Soprunova

Let $D^{k, l} (m, n)$ be the set of all the integer points in the transportation polytope of $k n \times l n$ matrices with row sums $l m$ and column sums $k m$ . In this paper w…

math.AG2014★ 12 cited

Multigraded Hilbert function and toric complete intersection codes

Mesut Şahin, Ivan Soprunov

Let $X$ be a complete $n$ -dimensional simplicial toric variety with homogeneous coordinate ring $S$ . We study the multigraded Hilbert function $H_{Y}$ of reduced $0$ -dimensional subs…