On z-Superstable and Critical Configurations of Chip Firing Pairs

Autor:	Benton, Zach, Kwak, Jane, Oh, SuHo, Torres, Mateo, Xie, Mckinley
Rok vydání:	2024
Předmět:	Mathematics - Combinatorics 05C50 05C22 20K01 91A46
Druh dokumentu:	Working Paper
Popis:	It is well known that there is a duality map between the superstable configurations and the critical configurations of a graph. This was extended to all M-matrices in (Guzm\`an-Klivans 2015). We show a natural way to extend this to all $(L,M)$-chip firing pairs introduced in (Guzm\`an-Klivans 2016). In addition, we study various properties of this map. Comment: 23 pages, 10 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.02679 Zobrazit plný text záznamu View this record from Arxiv