S-positivity of interval hypergraphs
Combinatorics
2015-08-13 v2
Abstract
We prove the s-positivity of the chromatic functions of interval hypergraphs and a conjecture of Taylor~\cite{Taylor15} as a consequence. We also give a new proof of Gasharov's theorem on the s-positivity of the chromatic symmetric functions of -free posets.
Cite
@article{arxiv.1508.01094,
title = {S-positivity of interval hypergraphs},
author = {Alexander Paunov},
journal= {arXiv preprint arXiv:1508.01094},
year = {2015}
}
Comments
The article has been temporary withdrawn due to the error in one of the arguments