Geodesic
The Kernel of Chromatic Quasisymmetric Functions on Graphs and Nestohedra
Séminaire lotharingien de combinatoire, 80B (2018)
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We study the chromatic symmetric function on graphs, and show that its kernel is spanned by the modular relations. We generalise this result to the chromatic quasisymmetric function on nestohedra, a family of generalised permutahedra. We use this description of the kernel of the chromatic symmetric function to find other graph invariants that may help us tackle the tree conjecture. 

@article{SLC_2018_80B_a9,
     author = {Raul Penaguiao},
     title = {The {Kernel} of {Chromatic} {Quasisymmetric} {Functions} on {Graphs} and {Nestohedra}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2018},
     volume = {80B},
     url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a9/}
}
TY  - JOUR
AU  - Raul Penaguiao
TI  - The Kernel of Chromatic Quasisymmetric Functions on Graphs and Nestohedra
JO  - Séminaire lotharingien de combinatoire
PY  - 2018
VL  - 80B
UR  - http://geodesic.mathdoc.fr/item/SLC_2018_80B_a9/
ID  - SLC_2018_80B_a9
ER  - 
%0 Journal Article
%A Raul Penaguiao
%T The Kernel of Chromatic Quasisymmetric Functions on Graphs and Nestohedra
%J Séminaire lotharingien de combinatoire
%D 2018
%V 80B
%U http://geodesic.mathdoc.fr/item/SLC_2018_80B_a9/
%F SLC_2018_80B_a9
Raul Penaguiao. The Kernel of Chromatic Quasisymmetric Functions on Graphs and Nestohedra. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a9/