Counting faces of graphical zonotopes
Ars mathematica contemporanea, Volume 13 (2017) no. 1, pp. 227-234
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It is a classical fact that the number of vertices of the graphical zonotope ZΓ is equal to the number of acyclic orientations of a graph Γ . We show that the f-polynomial of ZΓ is obtained as the principal specialization of the q-analog of the chromatic symmetric function of Γ .
Keywords:
Graphical zonotope, f-vector, graphical matroid, symmetric function
Vladimir Grujić. Counting faces of graphical zonotopes. Ars mathematica contemporanea, Volume 13 (2017) no. 1, pp. 227-234. doi: 10.26493/1855-3974.1132.fae
@article{10_26493_1855_3974_1132_fae,
author = {Vladimir Gruji\'c},
title = {
{Counting} faces of graphical zonotopes
},
journal = {Ars mathematica contemporanea},
pages = {227--234},
year = {2017},
volume = {13},
number = {1},
doi = {10.26493/1855-3974.1132.fae},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1132.fae/}
}
TY - JOUR AU - Vladimir Grujić TI - Counting faces of graphical zonotopes JO - Ars mathematica contemporanea PY - 2017 SP - 227 EP - 234 VL - 13 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1132.fae/ DO - 10.26493/1855-3974.1132.fae LA - en ID - 10_26493_1855_3974_1132_fae ER -
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