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arxiv: 1801.09516 · v1 · pith:VKAMNMLYnew · submitted 2018-01-29 · 🧮 math.CO · math.QA

A Pascal-like Bound for the Number of Necklaces with Fixed Density

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keywords fixedbounddensitynecklaceslyndonwordsalgebrasarises
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A bound resembling Pascal's identity is presented for binary necklaces with fixed density using Lyndon words with fixed density. The result is generalized to k-ary necklaces and Lyndon words with fixed content. The bound arises in the study of Nichols algebras of diagonal type.

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