"Quasisymmetric Functions Distinguishing Trees" by Jean-Christophe Aval, Karimatou Djenabou et al.
 

Publication Date

2023

Description

A famous conjecture of Stanley states that his chromatic symmetric function distinguishes trees. As a quasisymmetric analogue, we conjecture that the chromatic quasisymmetric function of Shareshian and Wachs and of Ellzey distinguishes directed trees. This latter conjecture would be implied by an affirmative answer to a question of Hasebe and Tsujie about the P-partition enumerator distinguishing posets whose Hasse diagrams are trees. They proved the case of rooted trees and our results include a generalization of their result.

Journal

Algebraic Combinatorics

Volume

6

Issue

3

First Page

595

Last Page

614

Department

Mathematics

Open Access

Full text attached

DOI

10.5802/alco.273

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