27 citations · 56 across the 16 of their papers we have counts for
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math.CO2015
Chip-firing on general invertible matrices
Johnny Guzman, Caroline Klivans
We propose a generalization of the graphical chip-firing model allowing for the redistribution dynamics to be governed by any invertible integer matrix while maintaining the long t…
math.CO2014★ 2 cited
Chip-firing and energy minimization on M-matrices
Johnny Guzmán, Caroline Klivans
We consider chip-firing dynamics defined by arbitrary M-matrices. M-matrices generalize graph Laplacians and were shown by Gabrielov to yield avalanche finite systems. Building on…