This lecture covers the basics of graph theory and coordination among agents in networked control systems. The instructor discusses challenges such as the impact of delays and packet losses, as well as opportunities for coordination. Examples from nature, literature, and simulations are used to illustrate concepts. The lecture also explores collective models, opinion dynamics, averaging in wireless sensor networks, and alignment in teams of moving agents. Graph theory is introduced with definitions of undirected, directed, and weighted graphs, emphasizing their relevance to networked control systems.