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  "body": "\n## Example\n\nLet $n \\ge r \\ge 1$ be integers.\nThe Turán graph $T(n, r)$ has $n$ vertices, split into $r$ parts whose sizes differ by at most $1$.\nTwo vertices are adjacent if and only if they are in different parts.\n\n## Remarks\n\nTwo vertices in the same part are not adjacent. Among any $r + 1$ vertices, two are in the same part, so $T(n, r)$ has no [[clique|0G52BPNPKG]] with $r + 1$ vertices.\nThe number of edges of $T(n, r)$ is $\\left\\lfloor \\left(1 - \\frac{1}{r}\\right) \\frac{n^2}{2} \\right\\rfloor$.\n$T(n, 2)$ is the [[complete bipartite graph|0V0GC7BQAN]] $K_{\\lfloor n/2 \\rfloor, \\lceil n/2 \\rceil}$, and $T(n, n)$ is the [[complete graph|03WKB2H474]] $K_n$.\n\n## Explanations\n\n### L1 human\n\nTo build $T(n, r)$, split $n$ people into $r$ teams of almost equal size, and join two people when they are in different teams.\nIt is the graph with the most edges that has no clique of size $r + 1$.\n",
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