… 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 …

… of automorphisms of an edge-transitive map on an orientable surface of given genus g > 1,
… occurs as the automorphism group of some edge-transitive map in each of the 14 classes. …

… of edge-transitive maps might follow, such as when the automorphism group of a map can be
… Classify all edge-transitive maps in surfaces of small genus. The next step, of course, is the …

… of particular types in all 14 classes, together with that of Orbanic, Pellicer, Pisanski and
Tucker in [65], where edge-transitive maps of small genus are classified. (In the present paper, ‘…

… Varieties of edge-transitive maps Our first task is the classification of edge-transitive maps
… a reflexible map (our un-diagrammed Case I of edge-transitive maps) in the case where mx …

… There are exactly 8 such quotient maps sitting on orbifolds … of edge-transitive maps on an
orientable surface of genus g> 1… regular maps, one describe the edge-transitive maps of genus …

… Preparatory to interleaving, it will be necessary to develop a classification of locally finite,
edgetransitive, 2-connected plane graphs. That will be a by-product of our study. The collection …

… edge-transitive maps on the orientable higher genus surfaces. They also enumerated and
listed the edge-transitive maps for the orientable genus … categories for edge-transitive maps on …

… We also define and compute the upper and lower irregularity … no edge-transitive map of
characteristic χ ≥ −2 and type 5P (defined in [11], see [13] for the torus case). Key Words: Maps, …