3 papers
math.CO2026
Bijectivity of a generalized Pak-Stanley labeling
Olivier Bernardi, Neha Goregaokar
The Pak-Stanley labeling is a bijection between the regions of the -Shi arrangement and the -parking functions. Mazin generalized this labeling to every deformation of the br…
math.CO2026
The geometry of a counting formula for deformations of the braid arrangement
Neha Goregaokar, Aaron Lin
We consider real hyperplane arrangements whose hyperplanes are of the form for some integer , which we call deformations of the braid arrangement. In 2018, B…
math.CO2025
Interpreting the (signed) chromatic polynomial coefficients via hyperplane arrangements
Neha Goregaokar
A recent result of Lofano and Paolini expresses the characteristic polynomial of a real hyperplane arrangement in terms of a projection statistic on the regions of the arrangement.…