Geometric distance-regular graphs without 4-claws

Mathematics – Combinatorics

Scientific paper

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Scientific paper

A non-complete \drg $\Gamma$ is called geometric if there exists a set $\mathcal{C}$ of Delsarte cliques such that each edge of $\Gamma$ lies in a unique clique in $\mathcal{C}$. In this paper, we determine the non-complete distance-regular graphs satisfying $\max \{3, 8/3}(a_1+1)\}

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