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Regular homomorphisms and regular maps
Title Regular homomorphisms and regular maps Author info A. Malnic, R. Nedela, M. Skoviera Author Malnič Aleksander (34%)
Co-authors Nedela Roman 1960- (33%) UMBFP12 - Inštitút matematiky a informatiky
Škoviera Martin (33%)
Source document European Journal of Combinatorics. Vol. 23, no. 4 (2002), pp. 449-461. - London : Academic Press, 2002 Keywords matematika - mathematics homomorfizmy homomorphisms Language English Country Great Britian systematics 51 Annotation Regular homomorphisms of oriented maps essentially arise from a factorization by a subgroup of automorphisms. This kind of map homomorphism is studied in detail, and generalized to the case when the induced homomorphism of the underlying graphs is not valency preserving. Reconstruction is treated by means of voltage assignments on angles, a natural extension of the common assignments on darts. Lifting and projecting groups of automorphisms along regular homomorphisms is studied in some detail. Finally, the split-extension structure of lifted groups is analysed. Public work category ADE No. of Archival Copy 28524 Repercussion category ZHOU, Jin Xin - FENG, Yan Quan. Regular maps of graphs of order 4p. In Acta mathematica sinica. ISSN 1439-8516, 2012, vol. 28, no. 5, pp. 989-1012.
ORBANIC, Alen - PETKOVSEK, Marko - PISANSKI, Tomaz - POTOCNIK, Primoz. A note on enumeration of one-vertex maps. In Ars mathematica contemporanea. ISSN 1855-3966, 2010, vol. 3, no. 1, pp. 1-12.
ORBANIC, Alen. F-actions and parallel-product decomposition of reflexible maps. In Journal of algebraic combinatorics. ISSN 0925-9899, 2007, vol. 26, no. 4, pp. 507-527.
DE MELLO KOCH, R. - RAMGOOLAM, S. - WEN, C. On the refined counting of graphs on surfaces. In Nuclear physics B. ISSN 0550-3213, 2013, vol. 870, no. 3, pp. 530-581.
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