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arXiv · 2412.10901

Construction of directed strongly regular graphs with nontrivial automorphisms

Marija Maksimović·Sanja Rukavina
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Abstract

In this paper we present a method for constructing directed strongly regular graphs with assumed action of an automorphism group. The application of this method leads to first examples of directed strongly regular graphs with parameters $(22,9,6,3,4)$. We have shown that an automorphism of prime order acting on such a graph can only be of order two or three. Furthermore, we have constructed $472$ directed strongly regular graphs with parameters $(22,9,6,3,4)$ and classified all these graphs with an automorphism of order three.

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BibTeXRIS

Marija Maksimović, Sanja Rukavina. 2024-12-20. Construction of directed strongly regular graphs with nontrivial automorphisms. https://arxiv.org/abs/2412.10901

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