Coxeter graph
= Coxeter graph
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{wiki=Coxeter_diagram}
The Coxeter graph has vertex set $I$, joins $i$ and $j$ when $m_{ij}\geq3$, and labels the edge by $m_{ij}$ when $m_{ij}>3$. A <Coxeter system> is <Irreducible Coxeter system>[irreducible] exactly when this graph is connected.
= Coxeter diagram
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{synonym}