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
ISSN: 01956698
Editorial
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD, 24-28 OVAL RD, LONDON NW1 7DX, ENGLAND, Reino Unido
Tipo de documento: Article
Volumen: 73 Número:
Páginas: 153-169
WOS Id: 000442059000010