Littlewood-Richardson coefficients are counted by peelable tableaux on shuffle diagrams, and this rule proves a special case of the Lam-Postnikov-Pylyavskyy Schur log-concavity conjecture.
Parametrizations of canonical bases and totally positive matrices
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Shuffle Tableaux, Littlewood--Richardson Coefficients, and Schur Log-Concavity
Littlewood-Richardson coefficients are counted by peelable tableaux on shuffle diagrams, and this rule proves a special case of the Lam-Postnikov-Pylyavskyy Schur log-concavity conjecture.