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arXiv · 1809.10197

On some distance-regular graphs with many vertices

Dean Crnkovic·Sanja Rukavina·Andrea Svob
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Abstract

We construct distance-regular graphs, including strongly regular graphs, admitting a transitive action of the Chevalley groups $G_2(4)$ and $G_2(5)$, the orthogonal group $O(7,3)$ and the Tits group $T=$$^2F_4(2)'$. Most of the constructed graphs have more than 1000 vertices, and the number of vertices goes up to 28431. Some of the obtained graphs are new.

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Dean Crnkovic, Sanja Rukavina, Andrea Svob. 2018-10-04. On some distance-regular graphs with many vertices. https://arxiv.org/abs/1809.10197

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