Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8903558 | European Journal of Combinatorics | 2018 | 17 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
István Kovács, Klavdija Kutnar, Dragan MaruÅ¡iÄ, Daniel Pellicer,