2 papers
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-Ãmery theory asserts that bounded-degree graphs satisfying have polynomial growth. In the present…
math.DG2025
Infinite graphs satisfying the Bakry-Emery curvature condition CD(0, n): The modified heat equation and applications to geometric analysis
Emmanuel Russ, Hervé Pajot
Let G = (V, p, ) be a (finite or infinite) weighted graph with bounded geometry. Assuming that G satisfies the classical curvaturedimension condition of Bakry-Emery CD(K, n) wi…