Title
Non-existence of nonorientable regular embeddings of n-dimensional cubes
Abstract
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 Kwon19513.22
Roman Nedela239247.78