April 3, 2024Open Access

The existence of directed strongly regular graphs with parameters (63, 11, 8, 1, 2)

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Abstract

In this paper, we prove the existence of directed strongly regular graphs with parameters (63, 11, 8, 1, 2). We show that there are exactly two non-isomorphic directed strongly regular graphs with parameters (63, 11, 8, 1, 2) on which PSL (2, 8) acts as and automorphism group, transitively on the vertices of the digraphs. Both directed strongly regular graphs have PSL (2, 8): Z₃ as the full automorphism group.

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Crnković et al. (Wed,) studied this question.

synapsesocial.com/papers/68e70a05b6db643587683deb https://doi.org/https://doi.org/10.48550/arxiv.2404.03100

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