2 papers
math.AC2026
Restricted Chip-Firing: Toric Toppling Ideals, Picard Groups, and Cellular Resolutions
Rahul Karki
We study certain groups and ideals arising from the chip-firing game on a generalisation of graphs called pargraphs. Several well-known families of toric ideals arise as toppling i…
math.AC2024
Rational Normal Curves, Chip Firing and Free Resolutions
Rahul Karki, Madhusudan Manjunath
We study rational normal curves via a connection to the chip firing game. A key technique, introduced in this article, is to interpret the defining ideal of the rational normal cur…