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arxiv: 1107.4812 · v2 · pith:WEB4OTTFnew · submitted 2011-07-24 · 🧮 math.CO

Bruhat graphs and pattern avoidance

classification 🧮 math.CO
keywords bruhatgraphsdrawnpermutationswhoseavoidanceavoidingcharacterize
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We characterize permutations whose Bruhat graphs can be drawn in the plane and those whose Bruhat graphs can be drawn in the torus. In particular, we show these properties are characterized by avoiding finitely many permutations.

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