%0 Journal Article
%T 一类几乎单型的拟本原图的刻画<br>The Characterization of a Class of Quasiprimitive Graphs Admitting an Almost Simple Group
%A 谢柯忻
%J Pure Mathematics
%P 156-161
%@ 2160-7605
%D 2025
%I Hans Publishing
%R 10.12677/pm.2025.153087
%X 设<math xmlns='http://www.w3.org/1998/Math/MathML'>
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-弧传递的。在奇数阶2倍素数度图的研究基础上&#65292;本文聚焦于拟本原非2-弧传递的情况&#65292;通过研究几乎单群<math xmlns='http://www.w3.org/1998/Math/MathML'>
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作用在<math xmlns='http://www.w3.org/1998/Math/MathML'>
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</math>

上的拟本原情形&#65292;对奇素数幂阶2倍素数度非2-弧传递图展开刻画。研究发现&#65292;此类图的结构较为特殊&#65292;要么是完全图<math xmlns='http://www.w3.org/1998/Math/MathML'>
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或<math xmlns='http://www.w3.org/1998/Math/MathML'>
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</math>

&#65292;要么同构于一个27阶10度图。这一结论进一步丰富了图论中关于特殊度数和传递性图的分类成果&#65292;为后续相关研究提供了重要参考。<br>Let <math xmlns='http://www.w3.org/1998/Math/MathML'>
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, and <math xmlns='http://www.w3.org/1998/Math/MathML'>
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-edge-transitive but not <math xmlns='http://www.w3.org/1998/Math/MathML'>
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-arc-transitive. Based on the research of graphs with odd order and twice prime valency, this paper focuses on the quasiprimitive
%K 边传递图&#65292
%K 几乎单群&#65292
%K 拟本原&#65292
%K 自同构群<br>Edge-Transitive Graph
%K Almost Simple Group
%K Quasiprimitive
%K Automorphism Group
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=109518