Explore topological graph states in quantum error correction through this 49-minute lecture from the Workshop on Algebraic Graph Theory and Quantum Information. Delve into quantum graph states, topological states, and line graphs as presented by David Feder and Pengcheng Liao from the University of Calgary. Gain insights into the intersection of algebraic graph theory and quantum information, covering topics such as quantum error correcting codes and topological trivial states. Conclude with a review and engage in a Q&A session to deepen your understanding of this cutting-edge field in quantum computing.