Graph Theory Courses

Bioinformatics With BB

Graph ggPLOT Beginner Tutorial - Creating Simple Graphs in R

Learn to create simple graphs using ggplot2 in R, enhancing your data visualization skills for effective analysis and presentation.

• YouTube
• 37 minutes
• Self-Paced
• Free Video

TED

Computing a Theory of Everything

Stephen Wolfram explores his mission to make knowledge computational, showcasing Wolfram Alpha's ambitious goal of modeling and explaining the universe's underlying physics.

• YouTube
• 21 minutes
• Self-Paced
• Conference Talk

TED

A Theory of Everything

Physicist Garrett Lisi presents a controversial 8-dimensional model of the universe, aiming to answer fundamental questions about elementary particles and forces.

• YouTube
• 22 minutes
• Self-Paced
• Conference Talk

Applied Algebraic Topology Network

Graph Representation Learning and Its Applications to Biomedicine

Graph representation learning techniques for biomedical applications, focusing on SubGNN for disentangled subgraph embeddings and their use in predicting disease treatments and safe drug combinations.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Topological Complexity of Pure Graph Braid Groups

Explore topological complexity in graph braid groups, focusing on Farber's conjecture about ordered configuration spaces and its implications for topological robotics.

• YouTube
• 56 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Tomoo Yokoyama - Generalizations of Morse Graph of Flows and Reeb Graph of Hamiltonian Flows

Generalizations of Morse and Reeb graphs for flows, exploring connections between dynamical systems, topological structures, and abstract orbit spaces. Insights into Conley theory and topological invariants.

• YouTube
• 28 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Hardness Results in Discrete Morse Theory for 2-Complexes

Explore inapproximability and parameterized complexity in discrete Morse theory for 2-complexes, focusing on minimizing critical simplices and presenting new hardness results and an approximation algorithm.

• YouTube
• 34 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Conley-Morse-Forman Theory for Generalized Combinatorial Multivector Fields

Generalized combinatorial multivector fields on finite topological spaces: extending Conley-Morse-Forman theory for data science applications, including isolated invariant sets, Conley index, and Morse decompositions.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Lower Dimensional Topological Information: Theory and Applications

Explore lower dimensional topological features in data analysis, covering detection methods, theoretical foundations, and applications in image segmentation using topological and statistical approaches.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Catastrophe Theory

Explore catastrophe theory, covering critical points, germs, classification theorems, unfoldings, and elementary catastrophes. Visualize concepts and discover applications in chemistry.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Henry Adams and Enrique Alvarado - An Introduction to Morse Theory

Explore Morse theory's applications in topology, including CW complexes, key theorems, and simplification techniques, with real-world examples in material science.

• YouTube
• 40 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Binary Black Hole Mergers in Cubic Horndeski Theory - IPAM at UCLA

Explore binary black hole mergers in cubic Horndeski gravity, examining non-linear effects and comparing results to general relativity. Gain insights into alternative gravity theories and their implications for astrophysical phenomena.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Quantum Field Theory of Exotic Systems - IPAM at UCLA

Explore quantum field theory of exotic systems, focusing on fracton phases and their challenges to conventional understanding. Delve into subsystem symmetries, tensor gauge theories, and peculiar UV/IR mixing phenomena.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Task Structure and Generalization in Graph Neural Networks

Explore graph neural networks' generalization properties, focusing on the interplay between task structure and architectural biases for improved learning and performance in algorithmic tasks.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

A Framework for Differentiable Discovery of Graph Algorithms

Explore graph algorithm discovery using deep learning and tree decomposition. Learn effective techniques for NP-complete problems with interpretable results and expanded search space.

• YouTube
• 29 minutes
• Self-Paced
• Free Video