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On some distance-regular graphs with many vertices

Journal of Algebraic Combinatorics (2020) 51(4) 641-652
DOI: 10.1007/s10801-019-00888-5
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Abstract

We construct distance-regular graphs, including strongly regular graphs, admitting a transitive action of the Chevalley groups G2(4) and G2(5) , the orthogonal group O(7, 3) and the Tits group T= 2F4(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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Crnković, D., Rukavina, S., & Švob, A. (2020). On some distance-regular graphs with many vertices. Journal of Algebraic Combinatorics, 51(4), 641–652. https://doi.org/10.1007/s10801-019-00888-5

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