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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.CO2013
Every totally real algebraic integer is a tree eigenvalue
Justin Salez
Graph eigenvalues are examples of totally real algebraic integers, i.e. roots of real-rooted monic polynomials with integer coefficients. Conversely, the fact that every totally re…