Marinko Timotijevi'c

collaborators

3 papers

math.AT2025

On a class of toric manifolds arising from simplicial complexes

Ivan Limonchenko, Marinko Timotijević, Rade Živaljević

Given an arbitrary abstract simplicial complex $K$ on $[m] := {1, 2, \dots, m}$ , different from the simplex $Δ_{[m]}$ with $m$ vertices, we introduce and study a canonical $(2 m - 2)$ -…

math.CO2025

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere

Filip D. Jevtić, Marinko Ž. Timotijević, Rade T. Živaljević

We prove that the median hypersimplex $Δ_{2 k, k}$ is Minkowski indecomposable, i.e. it cannot be expressed as a non-trivial Minkowski sum $Δ_{2 k, k} = P + Q$ , where $P\neq λΔ_{2k,k}\ne…

math.CO2023★ 1 cited

Polytopality of simple games

Marinko Timotijević, Rade T. Živaljević, Filip D. Jevtić

The Bier sphere $B i er (G) = B i er (K) = K *_{Δ} K^{\circ}$ and the canonical fan $F an (Γ) = F an (K)$ are combinatorial/geometric companions of a simple game $G = (P, Γ)$ …