Lectures related to Vertex-transitive graph

Explores the properties and applications of Cayley graphs in group theory and network analysis.

Explores automorphism groups of trees and graphs, including actions on trees and group homomorphisms.

Discusses Low Diameter Randomized Decomposition and graph partitioning for edge cuts and coloring.

Explores counting labeled trees using Prüfer codes and algorithms, providing maps between trees and sequences.

Covers Cayley graphs, generators, group examples, and graph structures.

Covers vertex degree, isolated and final vertices, even and odd vertices, and the handshaking lemma in graph theory.

Explores homomorphisms in topology and delves into Galois theory.