2 papers
math.CO2026
Steinerberger Curvature On Digraphs -- Discrete Bonnet-Myers and Lichnerowicz Theorems
Kevin Fung, Johnny Lim
Steinerberger curvature encodes the global distance geometry of a graph through an equilibrium measure. In this paper, we derive explicit curvature formulas for undirected Cayley g…
math.CO2026
Lin--Lu--Yau Ricci Curvature of Digraphs via Optimal Transport Couplings
Kevin Fung, Johnny Lim
In this paper, we study the Lin--Lu--Yau Ricci curvature of strongly connected locally finite digraphs through an explicit optimal-coupling construction. For an arc of a digraph, w…