On 7-valent symmetric graphs of order 2<i>pq</i> and 11-valent symmetric graphs of order 4<i>pq</i>-Reference-Cited by-同舟云学术

On 7-valent symmetric graphs of order 2pq and 11-valent symmetric graphs of order 4pq

Published:2022-01-01 Issue:1 Volume:20 Page:1696-1708
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Ling Bo¹,Lan Ting¹,Ding Suyun²

Affiliation:

1. School of Mathematics and Computer Sciences, Yunnan Minzu University , Kunming , Yunnan, 650031 , China

2. School of Science, East China Jiaotong University , Nanchang , Jiangxi, 330013 , China

Abstract

Abstract A graph is said to be symmetric if its automorphism group is transitive on its arcs. This article is one of a series of articles devoted to characterizing prime-valent arc-transitive graphs of square-free order or twice square-free order. In this article, we determine all 7-valent symmetric graphs of order 2pq and 11-valent symmetric graphs of order 4pq.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0528/pdf

Reference25 articles.

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3. C. E. Praeger, R. J. Wang, and M. Y. Xu, Symmetric graphs of order a product of two distinct primes, J. Combin. Theory Ser. B 58 (1993), 299–318, https://doi.org/10.1006/jctb.1993.1046.

4. C. E. Praeger and M. Y. Xu, Vertex-primitive graphs of order a product of two distinct primes, J. Combin. Theory B 59 (1993), no. 2, 245–266, https://doi.org/10.1006/jctb.1993.1068.

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