Mathematics > Combinatorics
[Submitted on 22 Dec 2018 (v1), last revised 30 Jul 2021 (this version, v3)]
Title:Convexity of distinct sum sets
View PDFAbstract:We study a combinatorial notion where given a set of lattice points one takes the set of all sums of subsets of a fixed size, and we ask if the given set comes from a convex lattice polytope whether the resulting set also comes from a convex lattice polytope. We obtain a positive result in dimension 2 and a negative result in higher dimensions. We apply this to the corner cut polyhedron.
Submission history
From: Alexander Lemmens [view email][v1] Sat, 22 Dec 2018 13:18:18 UTC (10 KB)
[v2] Tue, 18 Aug 2020 17:13:53 UTC (11 KB)
[v3] Fri, 30 Jul 2021 18:39:53 UTC (12 KB)
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