Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Isabel Hubard"'
Publikováno v:
Combinatorica.
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:
https://explore.openaire.eu/search/publication?articleId=doi_________::392b51ce2046060fb82ebd5a2eb3662f
https://doi.org/10.1007/s00493-023-00018-7
https://doi.org/10.1007/s00493-023-00018-7
Autor:
Isabel Hubard, Elías Mochán
Publikováno v:
Journal of Algebraic Combinatorics. 56:659-690
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::338437125f8118856dd02bccd4620d5b
https://doi.org/10.1007/s10801-022-01127-0
https://doi.org/10.1007/s10801-022-01127-0
All polytopes are coset geometries: Characterizing automorphism groups of k-orbit abstract polytopes
Autor:
Isabel Hubard, Elías Mochán
Publikováno v:
European Journal of Combinatorics. 113:103746
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1134f82641edaa4511fc23e7e92b1242
https://doi.org/10.1016/j.ejc.2023.103746
https://doi.org/10.1016/j.ejc.2023.103746
Publikováno v:
Discrete & Computational Geometry. 66:1025-1052
We study chiral polyhedra in 3-dimensional geometries (Euclidean, hyperbolic, and projective) in a unified manner. This extends to hyperbolic and projective spaces some structural results in the classification of chiral polyhedra in Euclidean 3-space
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02c966b97e6248db80756ee8e6c3451a
https://doi.org/10.1007/s00454-021-00317-0
https://doi.org/10.1007/s00454-021-00317-0
Publikováno v:
Journal of Graph Theory. 96:203-230
Let ${\cal M}$ be a map with the underlying graph $\Gamma$. The automorphism group $Aut({\cal M})$ induces a natural action on the set of all vertex-edge-face incident triples, called {\em flags} of ${\cal M}$. The map ${\cal M}$ is said to be a {\em
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd9bf6f9c1bb7152d1bba3cdc02d63ac
https://doi.org/10.1002/jgt.22608
https://doi.org/10.1002/jgt.22608
Autor:
Isabel Hubard, Ian Gleason
Publikováno v:
Ars Mathematica Contemporanea. 22:#P2.08
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33eb5446dc088a6018af788c552030ee
https://doi.org/10.26493/1855-3974.2584.68d
https://doi.org/10.26493/1855-3974.2584.68d
Publikováno v:
Discrete & Computational Geometry. 55:934-954
By an equivelar toroid we understand a map satisfying the requirements of an abstract polyhedron on the 2-torus where all faces have a fixed number p of edges, and all vertices belong to a fixed number q of edges. We establish that if every regular t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1462007e2142e883479ed47ffebc66ea
https://doi.org/10.1007/s00454-016-9775-5
https://doi.org/10.1007/s00454-016-9775-5
Publikováno v:
Discrete & Computational Geometry. 54:686-704
Up to isomorphism, there are six fixed-point free crystallographic groups in Euclidean 3-space $$\mathbb {E}^3$$E3 generated by twists (screw motions). In each case, an orientable 3-manifold is obtained as the quotient of $$\mathbb {E}^3$$E3 by such
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07618e391a2d0472eca11da5c81d0e01
https://doi.org/10.1007/s00454-015-9721-y
https://doi.org/10.1007/s00454-015-9721-y
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783319784335
Maniplexes are combinatorial objects that generalize, simultaneously, maps on surfaces and abstract polytopes. We are interested on studying highly symmetric maniplexes, particularly those having maximal ‘rotational’ symmetry. This paper introduc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c4e7a8f354cdb8a65ac16a13b30af65
https://doi.org/10.1007/978-3-319-78434-2_7
https://doi.org/10.1007/978-3-319-78434-2_7
Publikováno v:
Annals of Combinatorics. 19:243-268
We extend the notion of symmetry type graphs of maps to include maniplexes and (abstract) polytopes, using them to study k-orbit maniplexes (where the automorphism group has k orbits on flags). In particular, we show that there are no fully-transitiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ccc0690d448251218d4bb56ab595bd8d
https://doi.org/10.1007/s00026-015-0263-z
https://doi.org/10.1007/s00026-015-0263-z