WebMar 4, 2010 · The parallel chip-firing game is a periodic automaton on graphs in which vertices "fire" chips to their neighbors. In 1989, Bitar conjectured that the period of a parallel chip-firing game with n vertices is at most n. Though this conjecture was disproven in 1994 by Kiwi et. al., it has been proven for particular classes of graphs, specifically trees (Bitar … WebToday I stumbled upon chip-firing games. Apparently, they have been used to prove a version of the Riemann-Roch theorem for finite graphs and also for directed graphs (see Baker & Norine 2007 ), which is neat. Now I was wondering whether there are other known interesting applications (or properties) of chip-firing games.

The chip-firing game - ScienceDirect

WebFeb 10, 1997 · The parallel chip firing game has been studied in [3], where an invariant property is shown about the activity of vertices (i.e. the temporal pattern of firing and no firing situations). From this property, it was also proved that the parallel chip firing game converges towards periods of length at most 2 when the graph is a finite tree. WebChip damage, for the unaware, is what happens when the game does slight damage to you for blocking. The most common instance of getting chip damage is when blocking a … small shed 2x4

[1908.04395] Chip-Firing Games and Critical Groups - arXiv.org

WebNov 13, 2024 · Event description: Abstract: A graph is a collection of nodes connected by edges. In this talk I’ll present a family of chip-firing games, which start with a placement … Webgame, starts with a collection of chips at each vertex of G. If a vertex vhas at least as many chips as outgoing edges, it can re, sending one chip along each outgoing edge to a … Webdiscussion of chip firing games may wish to refer to [3, 4, 5, 10]. Those interested in connections between chip firing games and group theory should see [2]. Algorithmic … small shears for cutting metal