2 papers
math.CO2024
A counterexample to a Brenti-Carnevale conjecture
Nathan Chapelier-Laget, Jean Fromentin
Recently, F. Brenti put a preprint on the arXiv with several interesting open problems on Coxeter groups and unimodality. In this note, we refute one of these conjectures with a co…
math.CO2024
Fast construction of self-avoiding polygons and efficient evaluation of closed walk fractions on the square lattice
Jean Fromentin, Pierre-Louis Giscard, Yohan Hosten
We build upon a recent theoretical breakthrough by employing novel algorithms to accurately compute the fractions of all closed walks on the infinite square lattice whose the…