Embedding Graphs into Trees

This lecture covers the concept of embedding graphs into trees, focusing on finding a tree with low distortion. The instructor explains the process of embedding a graph G=(V,E) into a tree T=CVF, where the distortion is minimized. Various observations and examples are provided to illustrate the embedding process and the importance of minimizing distortion. Bartal Tree embeddings are also discussed, emphasizing the existence of a finite set of trees with a specific vertex set and distribution. The lecture concludes with a theorem by Bartal in 1995 regarding weighted graphs and tree embeddings.