Graph Theory Courses

Simons Institute

A Theory for Emergence of Complex Skills in Language Models

Explores statistical framework linking LLM cross-entropy loss to language skill competence, analyzing scaling laws' implications for efficient learning and emergence of complex abilities.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

IIT Kanpur;  NPTEL

Introduction to Electromagnetic Theory (Hindi)

वेक्टर कैलकुलस का उपयोग करके विद्युत चुंबकीय सिद्धांत की मूल अवधारणाओं का परिचय। गॉस के नियम, मैक्सवेल के समीकरण और विद्युत चुंबकीय तरंगों पर विशेष ध्यान।

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

Introduction to Biomedical Optics: From Theory to Applications

Explore biomedical optics fundamentals, light-tissue interactions, and advanced imaging techniques. Gain hands-on experience with optical instrumentation and tissue phantom characterization for practical applications in biomedical engineering.

• Swayam
• 12 weeks
• Self-Paced
• Free Online Course

IIT Madras;  NPTEL

Theory Of Fire Propagation (Fire Dynamics)

Explore fire propagation physics, modeling, and control. Learn combustion principles, transport processes, and empirical correlations for fire spread and fuel burning rates.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

Ross Dynamics Lab

Trajectory Types Near L1, L2, and L3 in the Three Body Problem - Theory and MATLAB Examples

Explore trajectory types near Lagrange points in the three-body problem. Learn analytical solutions, MATLAB simulations, and applications to Earth-Moon and Sun-Jupiter systems. Gain insights into orbital dynamics and space mission design.

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

USENIX

BGL - GPU-Efficient GNN Training by Optimizing Graph Data I/O and Preprocessing

Optimizing GPU-based GNN training for large graphs through improved data preprocessing, caching, and partitioning techniques, enhancing efficiency and performance in graph-based machine learning tasks.

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

USENIX

Arya - Arbitrary Graph Pattern Mining with Decomposition-based Sampling

Innovative graph pattern mining system combining decomposition theory and edge sampling for efficient processing of massive graphs, outperforming existing solutions by orders of magnitude.

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

USENIX

Flattened Clos - Designing High-performance Deadlock-free Expander Data Center Networks Using Graph Contraction

Innovative approach to designing high-performance, deadlock-free expander data center networks using graph contraction, offering improved efficiency and throughput compared to traditional Clos networks.

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

International Centre for Theoretical Sciences

Introduction to Chromatic Homotopy Theory - Lecture 3

Explore chromatic homotopy theory's advanced concepts and applications in algebraic topology, building on previous lectures to deepen understanding of this complex mathematical field.

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

Fields Institute

The Graph Model for Conflict Resolution - Reflections on Three Decades of Development

Explore the evolution and applications of the Graph Model for Conflict Resolution over 30 years, examining its role in addressing complex climate challenges and decision-making processes.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

IMSA

Equivariant A-Theory & Spaces of Equivariant H-Cobordisms

Explore equivariant A-theory and h-cobordisms, focusing on Waldhausen's algebraic K-theory of manifolds and its role in classifying manifolds and diffeomorphisms.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Triangulated Persistence Categories and Their K-Theory

Explore triangulated persistence categories, combining triangulated category theory and persistence modules. Learn about associated measurements, invariants, and K-theory, with examples from algebra and symplectic topology.

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

IMSA

Group Cohomology and Topological K-Theory of Semidirect Product Groups - Mario Velasquez

Explore group cohomology and topological K-theory for semidirect products of Z^n and Z/m, with m square-free. Learn about Z/m-lattice decomposition and the Baum-Connes conjecture.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Trevor Sullivan

Intro to OpenSource ArangoDB Document and Graph Database

Explore ArangoDB, an open-source database platform combining document and graph models. Learn about JSON storage, edge creation, and data visualization through its HTTP API and web interface.

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

Simons Institute

Parallel Batch-Dynamic Graph Representations

Explore efficient dynamic graph representations with Aspen and CPAM frameworks, enabling faster updates and space-efficient algorithms for practical applications like dynamic connectivity.

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