Symmetric edge polytopes are a class of lattice polytopes constructed from finite simple graphs. In the present paper we highlight their connections to the Kuramoto synchronization model in physics — where they are called adjacency polytopes — and to Kantorovich-Rubinstein polytopes from finite metric space theory. Each of these connections motivates the study of symmetric edge polytopes of particular classes of graphs. We focus on such classes and apply algebraic combinatorial methods to investigate invariants of the associated symmetric edge polytopes.
@article{10_37236_10387,
author = {Alessio D'Al{\`\i} and Emanuele Delucchi and Mateusz Micha{\l}ek},
title = {Many faces of symmetric edge polytopes},
journal = {The electronic journal of combinatorics},
year = {2022},
volume = {29},
number = {3},
doi = {10.37236/10387},
zbl = {1495.52013},
url = {http://geodesic.mathdoc.fr/articles/10.37236/10387/}
}
TY - JOUR
AU - Alessio D'Alì
AU - Emanuele Delucchi
AU - Mateusz Michałek
TI - Many faces of symmetric edge polytopes
JO - The electronic journal of combinatorics
PY - 2022
VL - 29
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.37236/10387/
DO - 10.37236/10387
ID - 10_37236_10387
ER -
%0 Journal Article
%A Alessio D'Alì
%A Emanuele Delucchi
%A Mateusz Michałek
%T Many faces of symmetric edge polytopes
%J The electronic journal of combinatorics
%D 2022
%V 29
%N 3
%U http://geodesic.mathdoc.fr/articles/10.37236/10387/
%R 10.37236/10387
%F 10_37236_10387
Alessio D'Alì; Emanuele Delucchi; Mateusz Michałek. Many faces of symmetric edge polytopes. The electronic journal of combinatorics, Tome 29 (2022) no. 3. doi: 10.37236/10387
