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Determination of all regular maps of small genus. (English) Zbl 1028.05045
Summary: Complete lists are given of all reflexible orientable regular maps of genus 2 to 15, all nonorientable regular maps of genus 4 to 30, and all (orientable) rotary but chiral (irreflexible) maps of genus 2 to 15 inclusive. On each list the maps are classified according to genus and type (viz. $$\{p, q\}$$ where every face is incident with $$p$$ edges and every vertex is incident with $$q$$ edges). The complete lists were determined with the help of a parallel program which finds all normal subgroups of low index in a finitely-presented group.

##### MSC:
 05C30 Enumeration in graph theory 05C10 Planar graphs; geometric and topological aspects of graph theory
##### Keywords:
reflexible orientable regular maps; genus
Magma
Full Text:
##### References:
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