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On diameter two Cayley graphs
Applied Mathematics and Computation ( IF 4 ) Pub Date : 2022-07-26 , DOI: 10.1016/j.amc.2022.127437 Wei Jin, Li Tan
中文翻译:
关于直径的两个凯莱图
更新日期:2022-07-27
Applied Mathematics and Computation ( IF 4 ) Pub Date : 2022-07-26 , DOI: 10.1016/j.amc.2022.127437 Wei Jin, Li Tan
Let be a Cayley graph whose diameter is 2. Set and . In this paper, it is shown that: for every positive integer at least 6, there is a such Cayley graph of points such that acts transitively in but not in ; for every positive integer at least 3, there is a such graph of valency such that is transitive in but not in .
中文翻译:
关于直径的两个凯莱图
让是一个直径为 2 的凯莱图。设置和. 本文证明:对于每一个正整数至少有6个,有这样一个凯莱图的点这样及物作用于但不在; 对于每个正整数至少3个,有这样的图化合价这样是传递的但不在.