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pro vyhledávání: '"Mochán, Elías"'
Voltage operations extend traditional geometric and combinatorial operations (such as medial, truncation, prism, and pyramid over a polytope) to operations on maniplexes, maps, polytopes, and hypertopes. In classical operations, the symmetries of the
Externí odkaz:
http://arxiv.org/abs/2312.13184
Autor:
Mochán, Elías
Abstract polytopes are a combinatorial generalization of convex and skeletal polytopes. Counting how many flag orbits a polytope has under its automorphism group is a way of measuring how symmetric it is. Polytopes with one flag orbit are called regu
Externí odkaz:
http://arxiv.org/abs/2309.15791
A map on a surface whose automorphism group has a subgroup acting regularly on its vertices is called a Cayley map. Here we generalize that notion to maniplexes and polytopes. We define $\mathcal{M}$ to be a \emph{Cayley extension} of $\mathcal{K}$ i
Externí odkaz:
http://arxiv.org/abs/2305.11843
Autor:
Berman, Leah Wrenn, Koike, Hiroki, Mochan, Elias, Ramos-Rivera, Alejandra, Sparl, Primoz, Wilson, Stephen E.
A graph is edge-transitive if the natural action of its automorphism group on its edge set is transitive. An automorphism of a graph is semiregular if all of the orbits of the subgroup generated by this automorphism have the same length. While the te
Externí odkaz:
http://arxiv.org/abs/2302.00994
All polytopes are coset geometries: characterizing automorphism groups of k-orbit abstract polytopes
Autor:
Hubard, Isabel, Mochán, Elías
Abstract polytopes generalize the classical notion of convex polytopes to more general combinatorial structures. The most studied ones are regular and chiral polytopes, as it is well-known, they can be constructed as coset geometries from their autom
Externí odkaz:
http://arxiv.org/abs/2208.00547
Classical geometric and topological operations on polyhedra, maps and polytopes often give rise to structures with the same symmetry group as the original one, but with more flags. In this paper we introduce the notion of voltage operations on manipl
Externí odkaz:
http://arxiv.org/abs/2202.05380
Autor:
Hubard, Isabel, Mochán, Elías
Publikováno v:
In European Journal of Combinatorics October 2023 113
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