3 papers
math.FA2026
Hidden critical and Morse equivalence behind duality: Theory and Applications
Dong Zhang
The aim of this paper is to establish critical duality theory for ratios of nonnegative homogeneous convex functions (shorten for RC functions) and differences of convex functions…
math.CO2026
Cheeger inequalities on simplicial complexes
Jürgen Jost, Dong Zhang
Cheeger-type inequalities in which the decomposability of a graph and the spectral gap of its Laplacian mutually control each other play an important role in graph theory and netwo…
math.SP2025
Dual Cheeger Constants, Signless 1-Laplacians and Maxcut
Sihong Shao, Chuan Yang, Dong Zhang
The first nontrivial lower bound of the worst-case approximation ratio for the maxcut problem was achieved via the dual Cheeger problem, whose optimal value is referred to the dual…