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arxiv: 0808.0345 · v1 · submitted 2008-08-03 · 🧮 math.CO

Quantized dual graded graphs

classification 🧮 math.CO
keywords graphsdualgradedquantizedbinaryconstructequippedexamples
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We study quantized dual graded graphs, which are graphs equipped with linear operators satisfying the relation DU - qUD = rI. We construct examples based upon: the Fibonacci poset, permutations, standard Young tableau, and plane binary trees.

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