Variations of dynamic random networks: localization approach

Abstract

We study the variation of exchangeable graph-valued process ${\bf \Gamma}$ and its graph limit. We used a constructive method using localization technique. Our method provides a specific estimation of variation for exchangeable graph-valued process ${\bf \Gamma}$ and its graph limit for different types of metric. As a result, we extend the bounded variation of graph limit as in Crane (2016).