منابع مشابه
Regular Oriented Hypermaps up to Five Hyperfaces
The chiral hypermaps with at most four hyperfaces were classified in [A. Breda d’Azevedo and R. Nedela,Chiral hypermaps with few hyperfaces, Math. Slovaca, 53 (2003), n.2, 107–128]. It arises from this classification that all chiral hypermaps are “canonical metacyclic”, that is, the one-step rotation about a hypervertex, or about a hyperedge, or about a hyperface, generates a normal subgroup in...
متن کاملRegular Hypermaps over Projective Linear Groups
An enumeration result for orientably-regular hypermaps of a given type with automorphism groups isomorphic to PSL(2, q) or PGL(2, q) can be extracted from a 1969 paper by Sah. We extend the investigation to orientable reflexible hypermaps and to non-orientable regular hypermaps, providing many more details about the associated computations and explicit generating sets for the associated groups.
متن کاملConstructions of Bipartite and Bipartite-regular Hypermaps
A hypermap is bipartite if its set of flags can be divided into two parts A and B so that both A and B are the union of vertices, and consecutive vertices around an edge or a face are contained in alternate parts. A bipartite hypermap is bipartiteregular if its set of automorphisms is transitive on A and on B. In this paper we see some properties of the constructions of bipartite hypermaps desc...
متن کاملDuality Index of Oriented Regular Hypermaps
By adapting the notion of chirality group, the duality group of H can be defined as the the minimal subgroup D(H) E Mon(H) such that H/D(H) is a self-dual hypermap (a hypermap isomorphic to its dual). Here, we prove that for any positive integer d, we can find a hypermap of that duality index (the order of D(H)), even when some restrictions apply, and also that, for any positive integer k, we c...
متن کاملRegular maps and hypermaps of Euler characteristic -1 to -200
This paper describes the determination of all orientably-regular maps and hypermaps of genus 2 to 101, and all non-orientable regular maps and hypermaps of genus 3 to 202. It extends the lists obtained by Conder and Dobcsányi (2001) of all such maps of Euler characteristic −1 to −28, and corrects errors made in those lists for the vertexor face-multiplicities of 14 ‘cantankerous’ non-orientable...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 1988
ISSN: 0195-6698
DOI: 10.1016/s0195-6698(88)80064-7