Arc-transitive antipodal distance-regular covers of complete graphs related to
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- 作者：L.Yu. Tsiovkina l.tsiovkina@gmail.com
- 关键词：Antipodal graph ; Arc-transitive graph ; Automorphism group ; Distance-regular graph ; Covering graph
- 刊名：Discrete Mathematics
- 出版年：2017
- 出版时间：6 February 2017
- 年：2017
- 卷：340
- 期：2
- 页码：63-71
- 全文大小：469 K
- 卷排序：340
文摘
In this paper, we classify antipodal distance-regular graphs of diameter three that admit an arc-transitive action of SU3(q)SU3(q). In particular, we find a new infinite family of distance-regular antipodal rr-covers of a complete graph on q3+1q3+1 vertices, where qq is odd and rr is any divisor of q+1q+1 such that (q+1)∕r(q+1)∕r is odd. Further, we find several new constructions of arc-transitive antipodal distance-regular graphs of diameter three in case λ=μλ=μ.