Non-geometric distance-regular graphs of diameter at least $3$ with smallest eigenvalue at least $-3$

Jack KoolenKefan YuXiaoye LiangHarrison ChoiGreg Markowsky

Nov 2023

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In this paper, we classify non-geometric distance-regular graphs of diameter at least $3$ with smallest eigenvalue at least $-3$. This is progress towards what is hoped to be an eventual complete classification of distance-regular graphs with smallest eigenvalue at least $-3$, analogous to existing classification results available in the case that the smallest eigenvalue is at least $-2$.

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