Filip D. Jevti'c

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20212025

most citedPolytopality of simple games

1 citations · 1 across the 4 of their papers we have counts for

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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 $G = (P, Γ)$ …

math.CO2021

Bier spheres of extremal volume and generalized permutohedra

Filip D. Jevtić, Rade T. Živaljević

A Bier sphere $B i er (K) = K *_{Δ} K^{\circ}$ , defined as the deleted join of a simplicial complex and its Alexander dual $K^{\circ}$ , is a purely combinatorial object (abstract simplicia…