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  "body": "\n## Summary\n\nIn graph theory, **Grassmann graphs** are a special class of simple graphs defined from systems of [[subspaces|00YC1D652K]]. The vertices of the Grassmann graph $J_{q}(n, k)$ are the $k$-dimensional subspaces of an $n$-dimensional [[vector space|000AYPA9AJ]] over a [[finite field|0ZXZ82FTX2]] of order $q$; two vertices are adjacent when their [[intersection|0ZNMMA9TF5]] is $(k - 1)$-dimensional.\n",
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