Abstract | ||
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In this paper, we classify all regular embeddings of the complete multipartite graphs Kp,...,p for a prime p into orientable surfaces. Also, the same work is done for the regular embeddings of the lexicographical product of any connected arc-transitive graph of prime order q with the complement of the complete graph of prime order p, where q and p are not necessarily distinct. Lots of regular maps found in this paper are Cayley maps. |
Year | DOI | Venue |
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2005 | 10.1016/j.ejc.2004.02.010 | Eur. J. Comb. |
Keywords | Field | DocType |
connected arc-transitive graph,complete graph,prime p,prime order p,prime order q,regular embeddings,cayley map,regular map,lexicographical product,complete multipartite graph,permutation group | Prime (order theory),Random regular graph,Discrete mathematics,Complete graph,Strongly regular graph,Combinatorics,Vertex-transitive graph,Regular graph,Symmetric graph,Topological graph theory,Mathematics | Journal |
Volume | Issue | ISSN |
26 | 3-4 | 0195-6698 |
Citations | PageRank | References |
17 | 1.40 | 5 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
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Shao-Fei Du | 1 | 142 | 15.18 |
Jin Ho Kwak | 2 | 384 | 39.96 |
Roman Nedela | 3 | 392 | 47.78 |