Lectures related to Graph automorphism

Automorphism groups: Trees and Graphs

Explores automorphism groups in trees and graphs, focusing on ends and types of automorphisms.

Automorphism Groups: Trees and Graphs III

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

Graph Algorithms: Modeling and Traversal

Covers graph algorithms, modeling relationships between objects, and traversal techniques like BFS and DFS.

Automorphism groups of trees and graphs

Explores automorphisms of graphs, focusing on automorphism groups, Cayley-Abels graphs, and quasi-isometry.

Graph Alignment: Wasserstein-based

Discusses challenges in comparing non-Euclidean data, proposing a Laplacian-based solution for graph alignment and exploring optimal transport for graph distance computation.

Endomorphisms and automorphisms of totally disconnected locally compact groups III

Explores the properties of endomorphisms and automorphisms of locally compact groups, emphasizing invariance, tree representation theory, and minimal subgroups.

Group Actions: G-object Notion

Explores the categorical framework for group actions, focusing on the concept of G-objects in different categories.

Endomorphisms and automorphisms of totally disconnected locally compact groups I

Covers the definitions and basic results of endomorphisms and automorphisms of totally disconnected locally compact groups.

Morphisms of Coverings

Covers the concept of morphisms of coverings and emphasizes the recognition of automorphisms.

Group Theory: Action on a Product

Explores actions on products in group theory, including automorphism construction and preservation of products.

Group Actions: G-objects in a Concrete Category

Explores G-objects in a concrete category and the framework for group actions.

Groups and Products

Covers the concepts of groups, products, and homomorphisms, focusing on the hx set and group alternates.

Construction of Free Action Functor

Explores the construction of the free action functor and its equivariance.

Union-Find and Prim's Algorithm

Introduces Union-Find data structure and Prim's algorithm for minimum spanning trees in graphs, exploring cuts and historical origins.

Group Theory Basics: Subgroups and Homomorphisms

Introduces subgroups and homomorphisms in group theory, with examples for illustration.

Endomorphisms and automorphisms of totally disconnected locally compact groups

Explores endomorphisms and automorphisms of totally disconnected locally compact groups, emphasizing the properties of flat groups and free abelian subgroups.

Depth-First Search: Exploration and Analysis

Explores the Depth-First Search algorithm, analyzing edge classifications and key theorems in graph exploration.

Covers self-similar groups and automorphisms of rooted trees, exploring residually finite groups and congruence subgroups.

Endomorphisms and automorphisms of totally disconnected locally compact groups II

Explores flat groups of automorphisms and their properties, including minimization functions and invariance under specific conditions.

Groupes Isomorphes: Applications

Explores isomorphic groups, bijective morphisms, and their applications in group theory.