Arc-transitive graphs of square-free order and small valency

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• 作者：Cai Heng Li^a ; ^{cai.heng.li@uwa.edu.au" class="auth_mail" title="E-mail the corresponding author} ; Zai Ping Lu^b ; ^{lu@nankai.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Gaixia Wang^c ; ^{wgx075@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Arc-transitive graph ; Normal quotient ; Vertex stabilizer ; Locally primitive ; (Almost) simple group
• 刊名：Discrete Mathematics
• 出版年：2016
• 出版时间：6 December 2016
• 年：2016
• 卷：339
• 期：12
• 页码：2907-2918
• 全文大小：475 K

文摘

This paper is one of a series of papers devoted to characterizing edge-transitive graphs of square-free order. It presents a complete list of locally-primitive arc-transitive graphs of square-free order and valency class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0012365X16301911&_mathId=si120.gif&_user=111111111&_pii=S0012365X16301911&_rdoc=1&_issn=0012365X&md5=0dca93e784a0df6855190b932a9750fd" title="Click to view the MathML source">d∈{5,6,7}class="mathContainer hidden">class="mathCode">$d\in \{5,6,7\}$.