Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Which nestohedra are removahedra?   A removahedron is a polytope obtained by deleting inequalities from the facet
description of the classical permutahedron. Relevant examples range from the
associahedra to the permutahedron itself, which raises the natural question to
characterize which nestohedra can be realized as removahedra. In this note, we
show that the nested complex of any connected building set closed under
intersection can be realized as a removahedron. We present two different
complementary proofs: one based on the building trees and the nested fan, and
the other based on Minkowski sums of dilated faces of the standard simplex. In
general, this closure condition is sufficient but not necessary to obtain
removahedra. However, we show that it is also necessary to obtain removahedra
from graphical building sets, and that it is equivalent to the corresponding
graph being chordful (i.e. any cycle induces a clique).

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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph