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math.CO2013★ 1 cited
Medial symmetry type graphs
Isabel Hubard, Alen Orbanić, Tomaž Pisanski +1
A -orbit map is a map with its automorphism group partitioning the set of flags into orbits. Recently -orbit maps were studied by Orbani\' c, Pellicer and Weiss, for $k \…
math.CO2008
Counting One-Vertex Maps
Alen Orbanic, Marko Petkovsek, Tomaz Pisanski +1
The number of distinct maps (pre-maps) with a single vertex and valence is computed for any value of . The types of maps (pre-maps) that we consider depend on whether the un…
math.CO2005
Parallel-product decomposition of edge-transitive maps
Alen Orbanić
The parallel product of two rooted maps was introduced by S. E. Wilson in 1994. The main question of this paper is whether for a given reflexible map one can decompose the map…