Geodesic
Regular Colour-Preserving Coverings of Low Genus of the Face-Colored Hemicube
Journal for geometry and graphics, Tome 13 (2009) no. 1, pp. 1-13.

Voir la notice de l'article provenant de la source Heldermann Verlag

We classify the Δ012-regular hypermaps of characteristic χ ≥ -2. We also define and compute the upper and lower irregularity group which are a generalization of the chirality group. From the obtained classification it follows that there is no edge-transitive map of characteristic χ ≥ -2 and type 5P.
Classification : 05C10, 05C25, 20B25, 20F65, 51E30, 57M60
Mots-clés : Maps, hypermaps, embeddings of graphs and hypergraphs, restricted regularity of hypermaps, chirality 
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A. Breda d'Azevedo; D. Catalano; R. Duarte . Regular Colour-Preserving Coverings of Low Genus of the Face-Colored Hemicube. Journal for geometry and graphics, Tome 13 (2009) no. 1, pp. 1-13. http://geodesic.mathdoc.fr/item/JGG_2009_13_1_JGG_2009_13_1_a0/