Elementary positivity of chromatic quasisymmetric functions
We prove that the chromatic quasisymmetric function of every natural unit interval graph is elementary-positive over $\mathbb N[q]$. This resolves the elementary-positivity part of the Shareshian–Wachs conjecture.
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Answer to: Which of the results released by OpenAI went against the conventional mathematical wisdom?mathoverflow.netJoshua P. SwansonOct 10, 2026
I'll remark on some problems in algebraic combinatorics. Combinatorial invariance of KL polynomials . Proved true, I'd say in agreement with the majority's sentiment. Shareshian--Wachs conjecture. Proved true, in line with nearly universal expectations. Saxl's conjecture. Proved true, in line with…