Arc-transitive maps with underlying Rose Window graphs
Por:
Hubard I., Ramos-Rivera A., Šparl P.
Publicada:
1 feb 2021
Ahead of Print:
1 ene 2020
Resumen:
In the late 1990s, Graver and Watkins initiated the study of all edge-transitive maps. Recently, Gareth Jones revisited the study of such maps and suggested classifying the maps in terms of either their automorphism groups or their underlying graphs. A natural step towards classifying edge-transitive maps is to study the arc-transitive ones. In this paper, we investigate the connection of a class of arc-transitive maps to consistent cycles of the underlying graph, with special emphasis on maps of smallest possible valence, namely 4. We give a complete classification of arc-transitive maps whose underlying graphs are arc-transitive Rose Window graphs. © 2020 Wiley Periodicals LLC
Filiaciones:
Hubard I.:
Instituto de Matemáticas, Universidad Nacional Autónoma de México (UNAM), México City, Mexico
Ramos-Rivera A.:
University of Primorska, IAM, Koper, Slovenia
Šparl P.:
University of Primorska, IAM, Koper, Slovenia
Faculty of Education, University of Ljubljana, Ljubljana, Slovenia
IMFM, Ljubljana, Slovenia
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