3 papers
math.MG2020
Generalized Tonnetz and discrete Abel-Jacobi map
Filip D. Jevtić, Rade T. Živaljević
Motivated by classical Euler's , we introduce and study the combinatorics and topology of more general simplicial complexes of "Tonnetz type". Out main res…
math.MG2018
Polytopal Bier spheres and Kantorovich-Rubinstein polytopes of weighted cycles
Filip D. Jevtić, Marinko Timotijević, Rade T. Živaljević
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".…
math.CO2017
Cyclohedron and Kantorovich-Rubinstein polytopes
Filip D. Jevtić, Marija Jelić, Rade T. Živaljević
We show that the cyclohedron (Bott-Taubes polytope) arises as the dual of a Kantorovich-Rubinstein polytope , where is a quasi-metric (asymmetric distance function…