AI 中文总结
研究108个顶点上有向强正则图的存在性，利用有限群在108个顶点上的可迁作用，证明了多种参数的有向强正则图的存在。
AI 中文摘要
本文证明了参数为(108,11,3,2,1)等多种参数的有向强正则图的存在性。通过考虑在108个顶点上可迁作用的有限群得到构造方法。
英文摘要
In this paper, we prove the existence of directed strongly regular graphs with parameters (108,11,3,2,1), (108,14,10,0,2), (108,22,12,6,4), (108,23,9,8,4), (108,25,15,8,5), (108,34,18,12,10), (108,38,22,12,14), (108,39,23,14,14), (108,41,35,16,15), (108,42,33,18,15) and (108,46,22,19,20). Further, we obtain directed strongly regular graphs with parameters (54,10,4,1,2), (54,11,4,3,2) and (54,16,7,4,5). The constructions are obtained by considering finite groups acting transitively on 54 and 108 vertices.
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