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Lecture
Graph Theory Basics
Graph Chatbot
Related lectures (30)
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Graphical Models: Representing Probabilistic Distributions
Covers graphical models for probabilistic distributions using graphs, nodes, and edges.
Belief Propagation
Explores Belief Propagation in graphical models, factor graphs, spin glass examples, Boltzmann distributions, and graph coloring properties.
Building Ramanujan Graphs
Explores the construction of Ramanujan graphs using polynomials and addresses challenges with the probabilistic method.
Statistical analysis of network data
Covers stochastic properties, network structures, models, statistics, centrality measures, and sampling methods in network data analysis.
Networked Control Systems: Properties and Connectivity
Explores properties of matrices, irreducibility, and graph connectivity in networked control systems.
Dijkstra's Algorithm Overview
Demonstrates the iterative process of applying Dijkstra's algorithm to find optimal paths.
Connectivity in Graph Theory
Covers the fundamentals of connectivity in graph theory, including paths, cycles, and spanning trees.
Networked Control Systems: Graph Theory and Stochastic Matrices
Explores graph theory, stochastic matrices, consensus algorithms, and spectral properties in networked control systems.
Sparsest Cut: ARV Theorem
Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.
Graph Coloring: Random vs Symmetrical
Compares random and symmetrical graph coloring in terms of cluster colorability and equilibrium.