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math.CO2019★ 2 cited
Positivity of chromatic symmetric functions associated with Hessenberg functions of bounce number 3
Soojin Cho, Jaehyun Hong
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 ch…
math.CO2019
An analogue of chromatic bases and -positivity of skew Schur -functions
Soojin Cho, JiSun Huh, Sun-Young Nam
We investigate chromatic symmetric functions in the relation to the algebra of symmetric functions generated by Schur -functions. We construct natural bases of in terms…