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  "body": "\n## Definition\n\nLet $G$ be a [[graph|0JD5C82QMB]].\nAn independent set in $G$ is a set $S$ of vertices of $G$ such that no two vertices of $S$ are adjacent.\n\n## Remarks\n\nA set is independent in $G$ if and only if it is a [[clique|0G52BPNPKG]] in the [[complement graph|0RNMP6VCR2]].\nA set $S$ is independent if and only if its complement in the vertex set is a [[vertex cover|0KDADE9RQ8]].\nThe largest size of an independent set is the independence number $\\alpha(G)$. Each colour class of a [[colouring|0874138YP6]] is an independent set.\n\n## Explanations\n\n### L1 human\n\nAn independent set is a set of vertices with no edge between any two of them.\nIn a conflict graph, it is a set of tasks that can all happen at the same time.\n",
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