Geodesic
A Symmetric Function of Increasing Forests
Forum of Mathematics, Sigma, Tome 9 (2021)

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For an indifference graph G, we define a symmetric function of increasing spanning forests of G. We prove that this symmetric function satisfies certain linear relations, which are also satisfied by the chromatic quasisymmetric function and unicellular $\textrm {LLT}$ polynomials. As a consequence, we give a combinatorial interpretation of the coefficients of the $\textrm {LLT}$ polynomial in the elementary basis (up to a factor of a power of $(q-1)$), strengthening the description given in [4]. 
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     author = {Alex Abreu and Antonio Nigro},
     title = {A {Symmetric} {Function} of {Increasing} {Forests}},
     journal = {Forum of Mathematics, Sigma},
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     year = {2021},
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Alex Abreu; Antonio Nigro. A Symmetric Function of Increasing Forests. Forum of Mathematics, Sigma, Tome 9 (2021). doi: 10.1017/fms.2021.33

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