Graph Theory and Network Flows

This lecture covers the fundamentals of graph theory and network flows, starting with the concept of a tree as a connected graph with no cycles, and moving on to incidence matrices, edge spaces, and flow conservation laws. The instructor explains the Branch and Bound method, incidence vectors, and the properties of edge spaces in detail. Additionally, the lecture delves into the theorem regarding cut and cycle vectors in a directed graph, emphasizing the importance of flow conservation. Practical examples and applications are provided throughout the lecture.