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Subgraphs vs Induced Subgraphs
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Minimum Spanning Trees: Prim's Algorithm
Explores Prim's algorithm for minimum spanning trees and introduces the Traveling Salesman Problem.
Graph Algorithms II: Traversal and Paths
Explores graph traversal methods, spanning trees, and shortest paths using BFS and DFS.
Graph Theory and Network Flows
Introduces graph theory, network flows, and flow conservation laws with practical examples and theorems.
Graphs: Properties and Representations
Covers graph properties, representations, and traversal algorithms using BFS and DFS.
Graphical Models: Representing Probabilistic Distributions
Covers graphical models for probabilistic distributions using graphs, nodes, and edges.
Convergence of Random Walks
Explores the convergence of random walks on graphs and the properties of weighted adjacency matrices.
Graphs and Networks: Basics and Applications
Introduces the basics of graphs and networks, covering definitions, paths, trees, flows, circulation, and spanning trees.
Graph Theory: Connectivity and Properties
Explores the properties of undirected and directed graphs, emphasizing connectivity and network topology modeling.
Graph Algorithms: Modeling and Traversal
Covers graph algorithms, modeling relationships between objects, and traversal techniques like BFS and DFS.
Expander Graphs: Properties and Eigenvalues
Explores expanders, Ramanujan graphs, eigenvalues, Laplacian matrices, and spectral properties.