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math.CO2025
Noncommutative properties of 0-hyperbolic graphs
Amaury Freslon, Paul Meunier, Pegah Pournajafi
We study several noncommutative properties of 0-hyperbolic graphs. In particular, we prove that 0-hyperbolicity is preserved under quantum isomorphism. We also compute the quantum…
math.CO2025
Block structures of graphs and quantum isomorphism
Amaury Freslon, Paul Meunier, Pegah Pournajafi
We prove that for every pair of quantum isomorphic graphs, their block trees and their block graphs are isomorphic, and that such an isomorphism can be chosen so that the correspon…