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math.AT2016★ 1 cited
Discrete Morse theory for the barycentric subdivision
A. M Zhukova
Let be a discrete Morse function on a simplicial complex . We construct a discrete Morse function on the barycentric subdivision . The constructed function $Δ(F…
math.MG2016
Cyclopermutohedron: geometry and topology
Ilia Nekrasov, Gaiane Panina, Alena Zhukova
The face poset of the permutohedron realizes the combinatorics of linearly ordered partitions of the set . Similarly, the cyclopermutohedron is a virtual polytope…