S-positivity of interval hypergraphs

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 $(3+1)$-free posets.

The article has been temporary withdrawn due to the error in one of the arguments

References in corpus (1)

• A modular relation for the chromatic symmetric functions of (3+1)-free posets