For every graph, applying ∇ at q=1 to the chromatic symmetric function yields an e-positive and Schur-positive symmetric function; the transfer runs through a new 'positively h-alternating' property.
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New Invariants for Permutations, Orders and Graphs
For every graph, applying ∇ at q=1 to the chromatic symmetric function yields an e-positive and Schur-positive symmetric function; the transfer runs through a new 'positively h-alternating' property.