On even-closed regular embeddings of graphs
Por:
Kovács I., Kutnar K., Marušic D., Pellicer D.
Publicada:
1 oct 2018
Resumen:
A map is said to be even-closed if all of its automorphisms act like even permutations on the vertex set. In this paper the study of even-closed regular maps is approached by analysing two distinguished families. The first family consists of embeddings of a well-known family of graphs on distinct orientable surfaces, whereas in the second family we consider all graphs having orientable-regular embeddings on a particular surface. In particular, the classification of even-closed orientable-regular embeddings of the complete bipartite graphs Kn,n and classification of even-closed orientable-regular maps on the torus are given. © 2018 Elsevier Ltd
Filiaciones:
Kovács I.:
University of Primorska, UP IAM, Muzejski trg 2, Koper, Slovenia
University of Primorska, UP FAMNIT, Glagoljaška 8, Koper, Slovenia
Kutnar K.:
University of Primorska, UP IAM, Muzejski trg 2, Koper, Slovenia
University of Primorska, UP FAMNIT, Glagoljaška 8, Koper, Slovenia
Marušic D.:
University of Primorska, UP IAM, Muzejski trg 2, Koper, Slovenia
University of Primorska, UP FAMNIT, Glagoljaška 8, Koper, Slovenia
IMFM, Jadranska 19, Ljubljana, Slovenia
Pellicer D.:
Centro de Ciencias Matemáticas, UNAM, Campus Morelia C.P. 58089, Morelia, Michoacán, Mexico
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