Some semisymmetric graphs arising from finite vector spaces-Reference-Cited by-同舟云学术

Some semisymmetric graphs arising from finite vector spaces

Published:2019-11-11 Issue:11 Volume:19 Page:2050216
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Chen H. Y.¹,Han H.²,Lu Z. P.³

Affiliation:

1. Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, P. R. China

2. College of Science, Tianjin University of Technology, Tianjin 300384, P. R. China

3. Center for Combinatorics, LPMC, Nankai University, Tianjin 300071, P. R. China

Abstract

A graph is worthy if no two vertices have the same neighborhood. In this paper, we characterize the automorphism groups of unworthy edge-transitive bipartite graphs, and present some worthy semisymmetric graphs arising from vector spaces over finite fields. We also determine the automorphism groups of these graphs.

Funder

National Natural Science Foundation of China

Fundamental Research Funds for the Central Universities

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498820502163

Reference13 articles.

1. On edge but not vertex transitive regular graphs

2. A census of semisymmetric cubic graphs on up to 768 vertices

3. An infinite family of biprimitive semisymmetric graphs

4. A classification of semisymmetric graphs of order 2pq

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