Search Results - "Jevtić, Filip D"
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Polytopal Bier Spheres and Kantorovich–Rubinstein Polytopes of Weighted Cycles
Published in Discrete & computational geometry (01-06-2021)“…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…”
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Cyclohedron and Kantorovich–Rubinstein Polytopes
Published in Arnold mathematical journal (01-04-2018)“…We show that the cyclohedron (Bott–Taubes polytope) W n arises as the polar dual of a Kantorovich–Rubinstein polytope K R ( ρ ) , where ρ is an explicitly…”
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Polytopality of Simple Games
Published in Experimental mathematics (12-08-2024)Get full text
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BIER SPHERES OF EXTREMAL VOLUME AND GENERALIZED PERMUTOHEDRA
Published in Applicable analysis and discrete mathematics (01-04-2023)“…We study hidden geometry of Bier spheres Bier(K) = K ∗Δ K° by describing their natural geometric realizations, compute their volume, describe an effective…”
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Reflecting on beauty: the aesthetics of mathematical discovery
Published 08-05-2024“…Mathematical research is often motivated by the desire to reach a beautiful result or to prove it in an elegant way. Mathematician's work is thus strongly…”
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Logic of the Ontological Argument
Published 21-05-2022“…In his ontological argument G\"{o}del says nothing about its underlying logic. The argument is modal and at least of second-order and since S5 axiom is used so…”
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Polytopality of simple games
Published 26-09-2023“…The Bier sphere $Bier(\mathcal{G}) = Bier(K) = K\ast_\Delta K^\circ$ and the canonical fan $Fan(\Gamma) = Fan(K)$ are combinatorial/geometric companions of a…”
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Bier spheres of extremal volume and generalized permutohedra
Published 01-08-2021“…A Bier sphere $Bier(K) = K\ast_\Delta K^\circ$, defined as the deleted join of a simplicial complex and its Alexander dual $K^\circ$, is a purely combinatorial…”
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Generalized Tonnetz and discrete Abel-Jacobi map
Published 21-02-2020“…Motivated by classical Euler's $Tonnetz$, we introduce and study the combinatorics and topology of more general simplicial complexes $Tonn^{n,k}(L)$ of…”
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Polytopal Bier spheres and Kantorovich-Rubinstein polytopes of weighted cycles
Published 02-12-2018“…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…”
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11
Cyclohedron and Kantorovich-Rubinstein polytopes
Published 20-03-2017“…We show that the cyclohedron (Bott-Taubes polytope) $W_n$ arises as the dual of a Kantorovich-Rubinstein polytope $KR(\rho)$, where $\rho$ is a quasi-metric…”
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Combinatorial Structure of Finite Metric Spaces
Published 01-01-2018“…Each metric space is associated to its fundamental polytope, also called Kantorovich-Rubin-stein polytope. The combinatorics of a metric space is defined in…”
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Dissertation