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math.CO2019
Divided symmetrization and quasisymmetric functions
Philippe Nadeau, Vasu Tewari
Motivated by a question in Schubert calculus, we study the interplay of quasisymmetric polynomials with the divided symmetrization operator, which was introduced by Postnikov in th…
math.CO2019★ 3 cited
-Indivisible Noncrossing Partitions
Henri Mühle, Philippe Nadeau, Nathan Williams
For a fixed integer , we consider the set of noncrossing partitions, where both the block sizes and the difference between adjacent elements in a block is . We show th…
math.CO2019★ 8 cited
Combinatorial reciprocity for the chromatic polynomial and the chromatic symmetric function
Olivier Bernardi, Philippe Nadeau
Let G be a graph, and let G be its chromatic polynomial. For any non-negative integers i, j, we give an interpretation for the evaluation (i) G (--j) in terms of acyclic ori…