35 citations · 76 across the 27 of their papers we have counts for
5 papers · 1 filter
On weak peak quasisymmetric functions
Yunnan Li
In this paper, we construct the weak version of peak quasisymmetric functions inside the Hopf algebra of weak composition quasisymmetric functions (WCQSym) defined by Guo, Thibon a…
The distance spectra of the derangement graphs
Yunnan Li, Huiqiu Lin
In this paper, we consider the distance spectra of the derangement graphs. First we give a constructive proof that the connected derangement graphs are of diameter 2. Then we obtai…
Towards a polynomial basis of the algebra of peak quasisymmetric functions
Yunnan Li
Hazewinkel proved the Ditters conjecture that the algebra of quasisymmetric functions over the integers is free commutative by constructing a nice polynomial basis. In this paper w…
The shifted Poirier-Reutenauer algebra
Naihuan Jing, Yunnan Li
Based on the shifted Schensted correspondence and the shifted Knuth equivalence, a shifted analog of the Poirier-Reutenauer algebra as a higher lift of Schur's P-functions and a ri…
A lift of Schur's Q-functions to the peak algebra
Naihuan Jing, Yunnan Li
We construct a lift of Schur's Q-functions to the peak algebra of the symmetric group, called the noncommutative Schur Q-functions, and extract from them a new natural basis with s…