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Distance-regular graphs, the subconstituent algebra, and the $Q$-polynomial property

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arxiv 2207.07747 v2 pith:ZNJPGXYP submitted 2022-07-15 math.CO math.QA

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keywords algebradistance-regulargraphspolynomialpropertysubconstituentcontainsemphasis
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abstract

This survey paper contains a tutorial introduction to distance-regular graphs, with an emphasis on the subconstituent algebra and the $Q$-polynomial property.

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  1. Circular Hessenberg pairs and the tridiagonal relations

    math.CO 2026-07 accept novelty 6.0 of 10

    Every circular Hessenberg pair on a finite-dimensional vector space satisfies the two tridiagonal relations.

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