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arXiv · 1506.03798

Dual equivalence graphs I: A new paradigm for Schur positivity

Sami H. Assaf
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Abstract

We make a systematic study of a new combinatorial construction called a dual equivalence graph. We axiomatize these graphs and prove that their generating functions are symmetric and Schur positive. This provides a universal method for establishing the symmetry and Schur positivity of quasisymmetric functions.

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Sami H. Assaf. 2015-06-11. Dual equivalence graphs I: A new paradigm for Schur positivity. https://doi.org/10.1017/fms.2015.15

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