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Sidorenko's conjecture for higher tree decompositions

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arxiv 1805.02238 v1 pith:PS3FM5WP submitted 2018-05-06 math.CO

classification math.CO
keywords conjecturesidorenkoadvancesapproachbroaderclasscompanioncomparable
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This is a companion note to our paper 'Some advances on Sidorenko's conjecture', elaborating on a remark in that paper that the approach which proves Sidorenko's conjecture for strongly tree-decomposable graphs may be extended to a broader class, comparable to that given in work of Szegedy, through further iteration.

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  1. Sidorenko property and forcing in regular tournaments

    math.CO 2026-02 conditional novelty 7.0 of 10

    For nearly regular tournaments, a tournament has the Sidorenko property exactly when it is transitive or a blow-up of the cyclic triangle whose three parts are transitive.

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