Purity and separation for oriented matroids

P Galashin, A Postnikov - arXiv preprint arXiv:1708.01329, 2017 - arxiv.org
Leclerc and Zelevinsky, motivated by the study of quasi-commuting quantum flag minors,
introduced the notions of strongly separated and weakly separated collections. These …

Weighted simple games and the topology of simplicial complexes

A Brooks, F Sarcevic, I Volic - arXiv preprint arXiv:2210.09771, 2022 - arxiv.org
We use simplicial complexes to model weighted voting games where certain coalitions are
considered unlikely or impossible. Expressions for Banzhaf and Shapley-Shubik power …

Polytopal Bier spheres and Kantorovich–Rubinstein polytopes of weighted cycles

FD Jevtić, M Timotijević, RT Živaljević - Discrete & Computational …, 2021 - Springer
The problem of deciding if a given triangulation of a sphere can be realized as the boundary
sphere of a simplicial, convex polytope is known as the 'Simplicial Steinitz problem'. It is …

Moduli space of a planar polygonal linkage: a combinatorial description

G Panina - Arnold Mathematical Journal, 2017 - Springer
We describe and study an explicit structure of a regular cell complex K (L) K (L) on the
moduli space M (L) of a planar polygonal linkage L. The combinatorics is very much related …

Moduli space of planar polygonal linkage: a combinatorial description

G Panina - arXiv preprint arXiv:1209.3241, 2012 - arxiv.org
We explicitly describe a structure of a regular cell complex $ K (L) $ on the moduli space $ M
(L) $ of a planar polygonal linkage $ L $. The combinatorics is very much related (but not …

Symmetric configuration spaces of linkages

D Blanc, N Shvalb - Journal of Applied and Computational Topology, 2023 - Springer
A configuration of a linkage Γ is a possible positioning of Γ in R d, and the collection of all
such forms the configuration space C (Γ) of Γ. We here introduce the notion of the symmetric …

Constructing self-dual complexes and self-dual triangulations of manifolds

M Timotijević, R Živaljević - Filomat, 2024 - doiserbia.nb.rs
Simplicial complexes K, which are equal to their Alexander dual KΛ are known as self-dual
simplicial complexes. We prove that topological and combinatorial properties of any self …

[图书][B] Purity and Separation for Oriented Matroids

P Galashin, A Postnikov - 2023 - ams.org
Leclerc and Zelevinsky, motivated by the study of quasi-commuting quantum flag minors,
introduced the notions of strongly separated and weakly separated collections. These …

Compactifications of Associated with Alexander Self-Dual Complexes: Chow Rings, ψ-Classes, and Intersection Numbers

II Nekrasov, GY Panina - Proceedings of the Steklov Institute of …, 2019 - Springer
An Alexander self-dual complex gives rise to a compactification of\cal M _ 0, n ℳ 0, n, called
an ASD compactification, which is a smooth algebraic variety. ASD compactifications include …

[PDF][PDF] Комбинаторна топологија и графовски комплекси

М Jelić Milutinović - Универзитет у Београду, 2021 - nardus.mpn.gov.rs
КОМБИНАТОРНА ТОПОЛОГИЈА И ГРАФОВСКИ КОМПЛЕКСИ Page 1 УНИВЕРЗИТЕТ У
БЕОГРАДУ МАТЕМАТИЧКИ ФАКУЛТЕТ Марија Јелић Милутиновић КОМБИНАТОРНА …