|
|||||
|
|
A Classification of Regular Embeddings of Graphs of Order a Product of Two Primes |
|
| Authors: | Shao-Fei Du Jin Ho Kwak Roman Nedela |
| Affiliation: | (1) Department of Mathematics, Capital Normal University, Beijing, 100037, People's Republic of China;(2) Combinatorial and Computational Mathematics Center, Pohang University of Science and Technology, Pohang, 790-784, Korea;(3) Institute of Mathematics and Informatics, Slovak Academy of Sciences, 974 00 Banská Bystrica, Slovakia |
| 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  q and it is also independent of the classification of the arc-transitive graphs of order pq for p q. |
| Keywords: | regular map regular embedding genus arc-transitive graph permutation group |
| 本文献已被 SpringerLink 等数据库收录！ | |