Geodesic
Constructions of bipartite and bipartite-regular hypermaps
Rui Duarte1
1University of Aveiro
The electronic journal of combinatorics, Tome 19 (2012) no. 4
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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 bipartite-regular 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 described algebraically by Breda and Duarte in 2007 which generalize the construction induced by the Walsh representation of hypermaps. As an application we show that all surfaces have bipartite-regular hypermaps.
DOI : 10.37236/2768
Classification : 05C10, 05C25, 20B25
Mots-clés : hypermap, bipartite hypermap, operations on hypermaps

Rui Duarte  1

1 University of Aveiro 
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Rui Duarte. Constructions of bipartite and bipartite-regular hypermaps. The electronic journal of combinatorics, Tome 19 (2012) no. 4. doi: 10.37236/2768

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