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math.CO2026
Edge-regular graphs with non-negative curvature have polynomial growth
Guy Blachar, Hervé Pajot, Justin Salez
A long-standing conjecture in the emerging discrete Bakry-Émery theory asserts that bounded-degree graphs satisfying have polynomial growth. In the present…
math.CO2023
Lipschitz harmonic functions on vertex-transitive graphs
Gideon Amir, Guy Blachar, Maria Gerasimova +1
We prove that every locally finite vertex-transitive graph admits a non-constant Lipschitz harmonic function.