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  "body": "\n## Example\n\nLet $n \\ge 3$ be an integer.\nThe cycle graph $C_n$ is the [[graph|0JD5C82QMB]] with vertex set $\\mathbb{Z}/n\\mathbb{Z}$ in which $i$ and $j$ are adjacent if and only if $j - i = \\pm 1$.\nIts edges are $\\{0, 1\\}, \\{1, 2\\}, \\dots, \\{n-2, n-1\\}$ and $\\{n-1, 0\\}$.\n\n## Remarks\n\n$C_n$ has $n$ vertices and $n$ edges, and it is $2$-[[regular|0KA4S8R39M]] and connected.\n$C_3$ is the complete graph $K_3$.\nThe chromatic number of $C_n$ is $2$ for even $n$ and $3$ for odd $n$. The odd cycles are the obstruction in the theorem that [[a graph is bipartite iff it has no odd cycle|01R1HPEK6S]].\n\n## Explanations\n\n### L1 human\n\nA cycle graph is a ring of $n$ vertices, each joined to the next one and the last joined to the first.\nIt looks like a polygon with $n$ corners.\n",
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