Vladimir Grujić
Published 2016-04-23Version 1
It is a classical fact that the number of vertices of the graphical zonotope $Z_\Gamma$ is equal to the number of acyclic orientations of a graph $\Gamma$. We show that the $f$-polynomial of $Z_\Gamma$ is obtained as the principal specialization of the $q$-analog of the chromatic symmetric function of $\Gamma$.
Comments: 9 pages; 3 figures
Between graphical zonotope and graph-associahedron
Combinatorial reciprocity for the chromatic polynomial and the chromatic symmetric function
The chromatic symmetric function of a graph centred at a vertex
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