Author

Aarush Vailaya

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Preprint Sep 2026

Proper circular arc graphs are $e$-positive

We prove an $e$-positive formula for the chromatic symmetric function of proper circular arc graphs solving the $q=1$ case of Ellzey's conjecture. In doing so, we provide a new proof of the $e$-positivity of unit interval graphs, which alongside Guay-Paquet's reduction gives a new proof of the Stanley--Stembridge conje...

Aarush Vailaya · 0 citations