Edge-transitive maps of low genus
Orbanić, Alen ; Pellicer, Daniel ; Pisanski, Tomaž ; Tucker, Thomas W.
ARS MATHEMATICA CONTEMPORANEA, Tome 4 (2011), / Harvested from ARS MATHEMATICA CONTEMPORANEA
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Graver and Watkins classified edge-transitive maps on closed surfaces into fourteen types. In this note we study these types for maps in orientable and non-orientable surfaces of small genus, including the Euclidean and hyperbolic plane. We revisit both finite and infinite one-ended edge-transitive maps. For the finite ones we give precise description that should enable their enumeration for a given number of edges. Edge-transitive maps on surfaces with small genera are classified in the paper.

Publié le : 2011-01-01
DOI : https://doi.org/10.26493/1855-3974.249.3a6 
@article{249,
     title = {Edge-transitive maps of low genus},
     journal = {ARS MATHEMATICA CONTEMPORANEA},
     volume = {4},
     year = {2011},
     doi = {10.26493/1855-3974.249.3a6},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/249}
}

Orbanić, Alen; Pellicer, Daniel; Pisanski, Tomaž; Tucker, Thomas W. Edge-transitive maps of low genus. ARS MATHEMATICA CONTEMPORANEA, Tome 4 (2011) . doi : 10.26493/1855-3974.249.3a6. http://gdmltest.u-ga.fr/item/249/