Some types of convex functions on networks

Abstract

We present and study some kinds of convex functions defined on undirected networks. The relations between these concepts are also presented. We adopt the definition of network as metric space used by Dearing P. M. and Francis R. L. in 1974.

Keywords

• \(E-d\)-convex functions
• roughly \(d\)-convex functions
• roughly \(E-d\)-convex functions