DEDI: A Framework for Analyzing Rank Evolution of Random Network Coding in a Wireless Network

The authors develop a framework called DEDI based on Differential Equations (DE) and Differential Inclusions (DI) to describe the rank evolution of Random Network Coding (RNC). The DEDI serves as a powerful numerical and analytical tool to study RNC and they demonstrate this via numerical examples as well as an alternate proof of a well known result on RNC - a multicast at rate R exists if and only if a unicast at rate R exists separately for each destination.