Lecture
This lecture introduces algorithmic paradigms for dynamic graph problems, focusing on real-world computation challenges like summarizing large networks and tracking communities in social networks. The instructor discusses dynamic algorithms, dynamic problems, and balanced binary search trees. The lecture explores the concept of dynamic connectivity and the study of dynamic graphs by theorists. It also covers the use of expander decomposition and local clustering in dynamic settings, breaking barriers in k-vertex connectivity problems. The lecture concludes with a discussion on the future of dynamic algorithms and the collaboration with various researchers in the field.