In this article we show how to compute the chromatic quasisymmetric function of indifference graphs from the modular law introduced in [19]. We provide an algorithm which works for any function that satisfies this law, such as unicellular LLT polynomials. When the indifference graph has bipartite complement it reduces to a planar network, in this case, we prove that the coefficients of the chromatic quasisymmetric function in the elementary basis are positive unimodal polynomials and characterize them as certain q-hit numbers (up to a factor). Finally, we discuss the logarithmic concavity of the coefficients of the chromatic quasisymmetric function.

中文翻译：

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模定律的色对称函数

在本文中，我们展示了如何根据[19]中引入的模数法来计算无差异图的色拟对称函数。我们提供了一种算法，该算法适用于满足该定律的任何函数，例如单细胞LLT多项式。当无差异图具有二元补数时，它会缩减为一个平面网络，在这种情况下，我们证明了基本色半对称函数的系数为正单峰多项式，并将它们表征为某些q命中数（最多一个因数） ）。最后，我们讨论了色准对称函数系数的对数凹度。