Introduction:

There are many problems in science and engineering where dynamics on networks, particularly dynamics on the graph edges, plays a fundamental role. For example, applications from vibration theory include bridges, antennas, and space structures, while from diffusion theory applications include neuronal dendritic trees, river delta systems, and the circulatory system. From a mathematical viewpoint, these applications pose outstanding inverse and forward problems concerning differential and difference equations on graph domains. This session will touch on a number of applications in wave propagation theory, nanotechnology, biomathematics and methodologies, with the intent to foster collaboration to further developments in this research area. 
