Soojin Cho, Jaehyun Hong
Published 2019-10-16Version 1
We give a proof of Stanley-Stembridge conjecture on chromatic symmetric functions for the class of all unit interval graphs with independence number 3. That is, we show that the chromatic symmetric function of the incomparability graph of a unit interval order in which the length of a chain is at most 3 is positively expanded as a linear sum of elementary symmetric functions.
The $e$-positivity of the chromatic symmetric function for twinned paths and cycles
On $e$-positivity and $e$-unimodality of chromatic quasisymmetric functions
Resolving Stanley's e-positivity of claw-contractible-free graphs
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