Abstract | ||
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By a regular embedding of a graph K into a surface we mean a two-cell embedding of K into a compact connected surface with the automorphism group acting regularly on flags. Regular embeddings of the n-dimensional cubes Q\"n into orientable surfaces exist for any positive integer n. In contrast to this, we prove the nonexistence of nonorientable regular embeddings of Q\"n for n2. |
Year | DOI | Venue |
---|---|---|
2007 | 10.1016/j.disc.2005.09.041 | Discrete Mathematics |
Keywords | Field | DocType |
regular map,surface,05c10,graph,regular embedding,regular map 2000 mathematics subject classiflcation: 05c10,05c30,group | Integer,Discrete mathematics,Automorphism group,Graph,Combinatorics,Embedding,Regular map,Mathematics,Cube | Journal |
Volume | Issue | ISSN |
307 | 3-5 | Discrete Mathematics |
Citations | PageRank | References |
7 | 0.59 | 7 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Young Soo Kwon | 1 | 95 | 13.22 |
Roman Nedela | 2 | 392 | 47.78 |