کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10118398 | 1632855 | 2005 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On cubic s-arc transitive Cayley graphs of finite simple groups
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On cubic s-arc transitive Cayley graphs of finite simple groups On cubic s-arc transitive Cayley graphs of finite simple groups](/preview/png/10118398.png)
چکیده انگلیسی
For a positive integer s, a graph Î is called s-arc transitive if its full automorphism group AutÎ acts transitively on the set of s-arcs of Î. Given a group G and a subset S of G with S=Sâ1 and 1âS, let Î=Cay(G,S) be the Cayley graph of G with respect to S and GR the set of right translations of G on G. Then GR forms a regular subgroup of AutÎ. A Cayley graph Î=Cay(G,S) is called normal if GR is normal in AutÎ. In this paper we investigate connected cubic s-arc transitive Cayley graphs Î of finite non-Abelian simple groups. Based on Li's work (Ph.D. Thesis (1996)), we prove that either Î is normal with sâ¤2 or G=A47 with s=5 and AutÎ â
A48. Further, a connected 5-arc transitive cubic Cayley graph of A47 is constructed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Combinatorics - Volume 26, Issue 1, January 2005, Pages 133-143
Journal: European Journal of Combinatorics - Volume 26, Issue 1, January 2005, Pages 133-143
نویسندگان
Shang Jin Xu, Xin Gui Fang, Jie Wang, Ming Yao Xu,