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arxiv: 1508.01094 · v2 · pith:HRL2SWRBnew · submitted 2015-08-05 · 🧮 math.CO

S-positivity of interval hypergraphs

classification 🧮 math.CO
keywords s-positivitychromaticfunctionshypergraphsintervalciteconjectureconsequence
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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.

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