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math.CO2026
Proper circular arc graphs are -positive
Aarush Vailaya
We prove an -positive formula for the chromatic symmetric function of proper circular arc graphs solving the case of a conjecture of Ellzey and of Alexandersson and Panova…
math.CO2026
The Tutte symmetric matrix of a graph
Foster Tom, Aarush Vailaya
We provide a matrix-based formula for the Tutte symmetric function of a graph. In particular, for any graph with a designated head and tail vertex, we describe an infinite matr…