7 citations · 42 across the 33 of their papers we have counts for
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math.GT2016
Oriented area is a perfect Morse function
Gaiane Panina
We show that an appropriate generalization of the oriented area function is a perfect Morse function on the space of three-dimensional configurations of an equilateral polygonal li…
math.CO2016
Alexander -tuples and Bier complexes
Duško Jojić, Ilya Nekrasov, Gaiane Panina +1
Alexander -tuples are introduced as a common generalization of pairs of Alexander dual complexes (Alexander -tuples) and -unavoidable complexes of Blagojević, Frick and Zi…
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…