4 papers · 1 filter
Polytopality criteria for the mix of polytopes and maniplexes
Gabe Cunningham, Isabel Hubard
The mix of two maniplexes is the minimal maniplex that covers both. This construction has many important applications, such as finding the smallest regular cover of a maniplex. If…
Colorful Associahedra and Cyclohedra
Gabriela Araujo-Pardo, Isabel Hubard, Deborah Oliveros +1
Every n-edge colored n-regular graph G naturally gives rise to a simple abstract n-polytope, the colorful polytope of G, whose 1-skeleton is isomorphic to G. The paper describes co…
Symmetric Graphicahedra
Maria Del Rio-Francos, Isabel Hubard, Deborah Oliveros +1
Given a connected graph G with p vertices and q edges, the G-graphicahedron is a vertex-transitive simple abstract polytope of rank q whose edge-graph is isomorphic to a Cayley gra…
Colorful Polytopes and Graphs
Gabriela Araujo-Pardo, Isabel Hubard, Deborah Oliveros +1
The paper investigates connections between abstract polytopes and properly edge colored graphs. Given any finite n-edge-colored n-regular graph G, we associate to G a simple abstra…