کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4647439 | 1632424 | 2014 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Cubic symmetric graphs of order 8p3
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
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چکیده انگلیسی
A graph is symmetric if its automorphism group is transitive on the arc set of the graph. In this paper, we classify connected cubic symmetric graphs of order 8p3 for each prime p. All those symmetric graphs are explicitly constructed as normal Cayley graphs on some groups of order 8p3, and their automorphism groups are determined. There is a unique connected cubic symmetric graph of order 64. All connected cubic symmetric graphs of order 8p3 for pâ¥3 are regular covers of the three dimensional hypercube Q3, and consist of four infinite families, of which two families exist if and only if 3â£(pâ1) and the other two families exist for each odd prime p. In each family, there is a unique graph for a given order.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 318, 6 March 2014, Pages 62-70
Journal: Discrete Mathematics - Volume 318, 6 March 2014, Pages 62-70
نویسندگان
Yan-Quan Feng, Mohsen Ghasemi, Da-Wei Yang,