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Related lectures (13)
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Surface Integral: Understanding Variable Positions
Explores surface integrals and variable positions, emphasizing sign inversion and induced paths.
Soft Graphs and Subgraphs
Covers soft graphs and induced subgraphs in graph theory.
Networked Control Systems: Consensus Algorithms in Digraphs
Explores consensus algorithms in digraphs, focusing on scenarios where the digraph is not strongly connected.
Fixed Points in Graph Theory
Focuses on fixed points in graph theory and their implications in algorithms and analysis.
Subgraphs vs Induced Subgraphs
Distinguishes between subgraphs and induced subgraphs in graph theory, illustrating the construction of minimal spanning trees.
Low Diameter Random Partitioning
Discusses Low Diameter Randomized Decomposition and graph partitioning for edge cuts and coloring.
Networked Control Systems: Convergence Rate and Digraphs
Explores convergence rate in networked control systems and consensus in digraphs, emphasizing the challenges of computing Pess(A) and weight assignment.
Introduction to Graph Theory
Covers the basics of graph theory, including network flows, degrees of vertices, walks, and subgraphs.
Graph Theory: Connectivity and Properties
Explores the properties of undirected and directed graphs, emphasizing connectivity and network topology modeling.
Networks: Definitions
Covers the concept of networks, graphs, subgraphs, directed graphs, and indegree in network theory.
Coxeter Groups: Spectral Theorem and Sylvester's Criterion
Explores the spectral theorem, Coxeter graphs, eigenvalues, and determinants of positive definite matrices.
Ramsey Theory: Alterations and Colorings
Explores Ramsey theory, alterations, colorings in graphs, monochromatic matchings, and the significance of large cliques.
Categories: Functors, and Natural Transformations
Introduces categories, concrete examples, opposite categories, and isomorphisms, leading to groupoids.
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