Genus spectra for symmetric embeddings of graphs on surfaces
M Conder - Electronic Notes in Discrete Mathematics, 2008 - Elsevier
This paper gives an account of some very recent work by the author in determining all
regular maps on surfaces of Euler characteristic− 1 to− 200 (orientable and non-orientable),
observing patterns in the resulting data, and joint work with Jozef Siráň and Tom Tucker in
proving the existence of infinitely many gaps in the genus spectrum of regular but chiral
maps (on orientable surfaces) and the genus spectrum of reflexible regular maps on
orientable surfaces with simple underlying graph.
regular maps on surfaces of Euler characteristic− 1 to− 200 (orientable and non-orientable),
observing patterns in the resulting data, and joint work with Jozef Siráň and Tom Tucker in
proving the existence of infinitely many gaps in the genus spectrum of regular but chiral
maps (on orientable surfaces) and the genus spectrum of reflexible regular maps on
orientable surfaces with simple underlying graph.
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