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- W2893789859 abstract "In this paper we will show that there does not exist a distance-regular graph $Gamma$ with intersection array ${80, 54,12; 1, 6, 60}$. We first show that a local graph $Delta$ of $Gamma$ does not contain a coclique with 5 vertices, and then we prove that the graph $Gamma$ is geometric by showing that $Delta$ consists of 4 disjoint cliques with 20 vertices. Then we apply a result of Koolen and Bang to the graph $Gamma$, and we could obtain that there is no such a distance-regular graph." @default.
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- W2893789859 date "2018-09-26" @default.
- W2893789859 modified "2023-09-27" @default.
- W2893789859 title "There does not exist a distance-regular graph with intersection array ${80, 54,12; 1, 6, 60}$" @default.
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