On e-Positivity and e-Unimodality of Chromatic Quasisymmetric Functions
Séminaire lotharingien de combinatoire, 80B (2018)

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The e-positivity conjecture and the e-unimodality conjecture of chromatic quasisymmetric functions are proved for some classes of natural unit interval orders. Recently, J. Shareshian and M. Wachs introduced chromatic quasisymmetric functions as a refinement of Stanley's chromatic symmetric functions and conjectured the e-positivity and the e-unimodality of these functions. Our work resolves the Stanley's conjecture on chromatic symmetric functions of (3+1)-free posets for two classes of natural unit interval orders.

@article{SLC_2018_80B_a58,
     author = {Soojin Cho and JiSun Huh},
     title = {On {e-Positivity} and {e-Unimodality} of {Chromatic} {Quasisymmetric} {Functions}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {80B},
     year = {2018},
     url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a58/}
}
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Soojin Cho; JiSun Huh. On e-Positivity and e-Unimodality of Chromatic Quasisymmetric Functions. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a58/