The permuto-associahedron revisited

نویسندگان

چکیده

A classic problem connecting algebraic and geometric combinatorics is the realization problem: given a poset, determine whether there exists polytope whose face lattice poset. In 1990s, Kapranov defined poset as hybrid between of permutohedron that an associahedron, he asked this realizable. Shortly after his question was posed, Reiner Ziegler provided realization. Based on our previous work nested braid fan, we provide in paper different Kapranov’s by constructing vertex set normal fan permuto-associahedron simultaneously.

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ژورنال

عنوان ژورنال: European Journal of Combinatorics

سال: 2023

ISSN: ['1095-9971', '0195-6698']

DOI: https://doi.org/10.1016/j.ejc.2023.103706