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arXiv · 1604.06931

Counting faces of graphical zonotopes

Vladimir Grujić
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Abstract

It is a classical fact that the number of vertices of the graphical zonotope $Z_Γ$ is equal to the number of acyclic orientations of a graph $Γ$. We show that the $f$-polynomial of $Z_Γ$ is obtained as the principal specialization of the $q$-analog of the chromatic symmetric function of $Γ$.

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Vladimir Grujić. 2017-03-26. Counting faces of graphical zonotopes. https://arxiv.org/abs/1604.06931

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