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Regular embeddings of complete bipartite graphs
Title Regular embeddings of complete bipartite graphs Author info R. Nedela, M. Skoviera, A. Zlatos Author Nedela Roman 1960- (34%) UMBFP12 - Inštitút matematiky a informatiky
Co-authors Škoviera Martin (33%)
Zlatos Andrej (33%)
Source document Discrete Mathematics. Vol. 258, no. 1-3 (2002), pp. 379-381. - Amsterdam : Elsevier B.V., 2002 Keywords matematika - mathematics regulárne mapy grafy - charts - graphs regular maps Language English Country Netherlands systematics 51 Annotation We prove that for any prime number p the complete bipartite graph K-p,K-p has, up to isomorphism, precisely one regular embedding on an orientable surface-the well-known embedding with faces bounded by hamiltonian cycles. Public work category ADE No. of Archival Copy 28522 Repercussion category DU, Shaofei - ZHANG, Jun-Yang. A classification of orientably-regular embeddings of complete multipartite graphs. In European journal of combinatorics. ISSN 0195-6698, 2014, vol. 36, no., pp. 437-452.
ZHANG, Jun-Yang - DU, Shao-Fei. On the orientable regular embeddings of complete multipartite graphs. In European journal of combinatorics. ISSN 0195-6698, 2012, vol. 33, no. 6, pp. 1303-1312.
KWAK, Jin Ho - KWON, Young Soo. Classification of nonorientable regular embeddings of complete bipartite graphs. In Journal of combinatorial theory series B. ISSN 0095-8956, 2011, vol. 101, no. 4, pp. 191-205.
WANG, Furong - DU, ShaoFeo. Nonorientable regular embeddings of graphs of order pq. In Science China - Mathematics. ISSN 1674-7283, 2011, vol. 54, no. 2, pp. 351-363.
JONES, Gareth A. Regular embeddings of complete bipartite graphs: classification and enumeration. In Proceedings of the London Mathematical Society. ISSN 0024-6115, 2010, vol. 101, no. 2, pp. 427-453.
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KNOR, Martin - SIRAN, Jozef. Regular hamiltonian embeddings of K-n,K-n and regular triangular embeddings of K-n,K-n,K-n. In Discrete mathematics. ISSN 0012-365X, 2008, vol. 308, no. 20, pp. 4796-4800.
KWAK, Jin Ho - KWON, Young Soo. Classification of reflexible regular embeddings and self-Petrie dual regular embeddings of complete bipartite graphs. In Discrete mathematics. ISSN 0012-365X, 2008, vol. 308, no. 11, pp. 2156-2166.
JONES, Gareth A. - KOOLEN, J. - KWAK, J. H. - XU, M. Y. Complete bipartite maps, factorisable groups and generalised Fermat curves. In Applications of group theory to combinatorics. Boca Raton : CRC Press - Taylor & Francis group, 2008. ISBN 978-0-415-47184-8, pp. 43-58.
KWAK, J. H. - KWON, Y. S. Regular orientable embeddings of complete bipartite graphs. In Journal of graph theory. ISSN 0364-9024, 2005, vol. 50, no. 2, pp. 105-122.
KWON, Y. S. New regular embeddings of n-cubes Qn. In Journal of graph theory. ISSN 0364-9024, 2004, vol. 46, no. 4, pp. 297-312.
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