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Showing 2018 · math.COShow all
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math.CO2018★ 1 cited
A noncommutative cycle index and new bases of quasi-symmetric functions and noncommutative symmetric functions
Jean-Christophe Novelli, Jean-Yves Thibon, Frederic Toumazet
We define a new basis of the algebra of quasi-symmetric functions by lifting the cycle-index polynomials of symmetric groups to noncommutative polynomials with coefficients in the…
math.CO2018★ 4 cited
A partial order on Motzkin paths
Wenjie Fang
The Tamari lattice, defined on Catalan objects such as binary trees and Dyck paths, is a well-studied poset in combinatorics. It is thus natural to try to extend it to other famili…