A note on the log-concavity of parking functions

Autor:	Pappe, Joseph
Rok vydání:	2024
Předmět:	Mathematics - Combinatorics Primary: 05A15 05C30 Secondary: 05C05 05C31
Druh dokumentu:	Working Paper
Popis:	We settle a conjecture of B\'ona regarding the log-concavity of a certain statistic on parking functions by utilizing recent log-concavity results on matroids. This result allows us to also prove that connected, labeled graphs graded by their number of edges are log-concave. Furthermore, we generalize these results to $G$-parking functions.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.19783 Zobrazit plný text záznamu View this record from Arxiv