Facets and facet subgraphs of symmetric edge polytopes

Symmetric edge polytopes, a.k.a. PV-type adjacency associated with undirected graphs have been defined and studied in several seemingly independent areas including number theory, discrete geometry, dynamical systems. In particular, the authors are motivated by study of algebraic Kuramoto equations unmixed form whose Newton polytopes symmetric polytopes. The interplay between geometric structure topological underlying has a recurring theme recent studies. “facet/face subgraphs” emerged as one central concepts describing this symmetry. Continuing along line inquiry we provide complete description correspondence facets/faces polytope maximal bipartite subgraphs connected graph.