Counting faces of graphical zonotopes
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...
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| creator | Grujić, Vladimir |
| description | 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
$\Gamma$. |
| doi_str_mv | 10.48550/arxiv.1604.06931 |
| format | Article |
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$Z_\Gamma$ 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
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$Z_\Gamma$ 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
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$Z_\Gamma$ 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
$\Gamma$.</abstract><doi>10.48550/arxiv.1604.06931</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Combinatorics |
| title | Counting faces of graphical zonotopes |
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