Search Results - "Jevtić, Filip D"

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  1. 1

    Polytopal Bier Spheres and Kantorovich–Rubinstein Polytopes of Weighted Cycles by Jevtić, Filip D, Marinko, Timotijević, Živaljević, Rade T

    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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    Journal Article
  2. 2

    Cyclohedron and Kantorovich–Rubinstein Polytopes by Jevtić, Filip D., Jelić, Marija, Živaljević, Rade T.

    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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    Journal Article
  3. 3
  4. 4

    BIER SPHERES OF EXTREMAL VOLUME AND GENERALIZED PERMUTOHEDRA by Jevtic, Filip, Zivaljevic, Rade

    “…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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    Journal Article
  5. 5

    Reflecting on beauty: the aesthetics of mathematical discovery by Jevtić, Filip D, Kostić, Jovana, Maksimović, Katarina

    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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    Journal Article
  6. 6

    Logic of the Ontological Argument by Jevtić, Filip D, Vujošević, Slobodan

    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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    Journal Article
  7. 7

    Polytopality of simple games by Timotijević, Marinko, Živaljević, Rade T, Jevtić, Filip D

    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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    Journal Article
  8. 8

    Bier spheres of extremal volume and generalized permutohedra by Jevtić, Filip D, Živaljević, Rade T

    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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    Journal Article
  9. 9

    Generalized Tonnetz and discrete Abel-Jacobi map by Jevtić, Filip D, Živaljević, Rade T

    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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    Journal Article
  10. 10

    Polytopal Bier spheres and Kantorovich-Rubinstein polytopes of weighted cycles by Jevtić, Filip D, Timotijević, Marinko, Živaljević, Rade T

    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…”
    Get full text
    Journal Article
  11. 11

    Cyclohedron and Kantorovich-Rubinstein polytopes by Jevtić, Filip D, Jelić, Marija, Živaljević, Rade T

    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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    Journal Article
  12. 12

    Combinatorial Structure of Finite Metric Spaces by Jevtic, Filip D

    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