甯鸿琳, 潘江敏. 广义四元数群上正规弧传递凯莱图[J]. 云南大学学报(自然科学版), 2022, 44(2): 230-236. doi: 10.7540/j.ynu.20210391
引用本文: 甯鸿琳, 潘江敏. 广义四元数群上正规弧传递凯莱图[J]. 云南大学学报(自然科学版), 2022, 44(2): 230-236. doi: 10.7540/j.ynu.20210391
NING Hong-lin, PAN Jiang-min. Normal arc-transitive Cayley graphs on generalized quaternion groups[J]. Journal of Yunnan University: Natural Sciences Edition, 2022, 44(2): 230-236. DOI: 10.7540/j.ynu.20210391
Citation: NING Hong-lin, PAN Jiang-min. Normal arc-transitive Cayley graphs on generalized quaternion groups[J]. Journal of Yunnan University: Natural Sciences Edition, 2022, 44(2): 230-236. DOI: 10.7540/j.ynu.20210391

广义四元数群上正规弧传递凯莱图

Normal arc-transitive Cayley graphs on generalized quaternion groups

  • 摘要: 研究了广义四元数群上正规弧传递凯莱图,通过对这些图的正规商图的研究,刻画了这些图的度数,完全分类了4倍素数阶2倍素数度的情形,并得到了广义四元数群上凯莱图的一些性质.

     

    Abstract: We study normal arc-transitive Cayley graphs on generalized quaternion groups. By studying normal quotient graphs, we characterize the valency of these graphs and classify such graphs for the case that the order is four times a prime and the valency is twice a prime. Moreover, some properties of Cayley graphs on generalized quaternion groups are proved.

     

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