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math.CO2024
Distance ideals of digraphs
Carlos A. Alfaro, Teresa I. Hoekstra-Mendoza, Juan Pablo Serrano +1
We focus on strongly connected, strong for short, digraphs since in this setting distance is defined for every pair of vertices. Distance ideals generalize the spectrum and Smith n…
math.CO2024
Evolutive sandpiles
Carlos A. Alfaro, Juan Pablo Serrano, Ralihe R. Villagrán
The Abelian sandpile model was the first example of a self-organized critical system studied by Bak, Tang and Wiesenfeld. The dynamics of the sandpiles occur when the grains topple…