A classification of regular embeddings of graphs of order a product of two primes
SCIE
SCOPUS
- Title
- A classification of regular embeddings of graphs of order a product of two primes
- Authors
- Du, SF; Kwak, JH; Nedela, R
- Date Issued
- 2004-03
- Publisher
- KLUWER ACADEMIC PUBL
- Abstract
- In this paper, we classify the regular embeddings of arc-transitive simple graphs of order pq for any two primes p and q (not necessarily distinct) into orientable surfaces. Our classification is obtained by direct analysis of the structure of arc-regular subgroups (with cyclic vertex-stabilizers) of the automorphism groups of such graphs. This work is independent of the classification of primitive permutation groups of degree p or degree pq for p not equal q and it is also independent of the classification of the arc-transitive graphs of order pq for p not equal q.
- Keywords
- regular map; regular embedding; genus; arc-transitive graph; permutation group; SYMMETRICAL GRAPHS; DISTINCT PRIMES; MAPS; SURFACES
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/17992
- DOI
- 10.1023/B:JACO.0000023003.69690.18
- ISSN
- 0925-9899
- Article Type
- Article
- Citation
- JOURNAL OF ALGEBRAIC COMBINATORICS, vol. 19, no. 2, page. 123 - 141, 2004-03
- Files in This Item:
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.