Abstract
In this paper we show that for integers s≥2, t≥1, any co-edge-regular graph which is cospectral with the s-clique extension of the t×t-grid is the s-clique extension of the t×t-grid, if t is large enough. Gavrilyuk and Koolen used a weaker version of this result to show that the Grassmann graph Jq(2D,D) is characterized by its intersection array as a distance-regular graph, if D is large enough.
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