Affine primitive groups and semisymmetric graphs
type: Item
instance of: scholarly article
title: Affine primitive groups and semisymmetric graphs
zbMATH Open document ID: 1266.05056
author: Hua Han
author: Zai Ping Lu
published in: The Electronic Journal of Combinatorics
publication date: 2013-06-07T00:00:00Z
full work available at URL: v20i2p39
review text: Summary: In this paper, we investigate semisymmetric graphs which arise from affine primitive permutation groups. We give a characterization of such graphs, and then construct an infinite family of semisymmetric graphs which contains the Gray graph as the third smallest member. Then, as a consequence, we obtain a factorization,of the complete bipartite graph \(K_{p^{sp^t},p^{sp^t}}\) into connected semisymmetric graphs, where \(p\) is an prime, \(1\leq t\leq s\) with \(s\geq2\) while \(p=2\).
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 6171954
zbMATH Keywords: semisymmetric graph
zbMATH Keywords: normal quotient
zbMATH Keywords: primitive permutation group
MaRDI profile type: Publication
cites work: An Edge but not Vertex Transitive Cubic Graph*
cites work: On edge but not vertex transitive regular graphs
cites work: A census of semisymmetric cubic graphs on up to 768 vertices
cites work: Q4882944
cites work: Q5186261
cites work: Q5550843
cites work: Biprimitive graphs of smallest order
cites work: A classification of semisymmetric graphs of order 2pq
cites work: Regular line-symmetric graphs
cites work: Semisymmetric graphs of order \(6p ^{2}\) and prime valency
cites work: Q3765805
cites work: The Finite Primitive Permutation Groups Containing an Abelian Regular Subgroup
cites work: Q4469426
cites work: On semisymmetric cubic graphs of order \(6p^{2}\)
cites work: Cubic edge-transitive graphs of order 2\(p^{3}\)
cites work: Semisymmetry of generalized Folkman graphs
cites work: Semisymmetric graphs from polytopes
cites work: Semisymmetric cubic graphs of twice odd order
cites work: The Inclusion Problem for Finite Primitive Permutation Groups
description: scientific article; zbMATH DE number 6171954