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Forbidden graph characterization
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Related lectures (14)
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Soft Graphs and Subgraphs
Covers soft graphs and induced subgraphs in graph theory.
Subgraphs vs Induced Subgraphs
Distinguishes between subgraphs and induced subgraphs in graph theory, illustrating the construction of minimal spanning trees.
Probabilistic method and its applications
Introduces the probabilistic method to prove existence results in graph theory.
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.
Dynamical scattering: double diffraction
Delves into double diffraction in dynamical scattering, showcasing diffraction spots for forbidden planes and the Ewald sphere/reciprocal lattice.
Networks: Definitions
Covers the concept of networks, graphs, subgraphs, directed graphs, and indegree in network theory.
Ramsey Theory: Alterations and Colorings
Explores Ramsey theory, alterations, colorings in graphs, monochromatic matchings, and the significance of large cliques.
Introduction to Graph Theory
Covers the basics of graph theory, including network flows, degrees of vertices, walks, and subgraphs.
Coxeter Groups: Spectral Theorem and Sylvester's Criterion
Explores the spectral theorem, Coxeter graphs, eigenvalues, and determinants of positive definite matrices.
Graph Theory: Connectivity and Properties
Explores the properties of undirected and directed graphs, emphasizing connectivity and network topology modeling.
Categories: Functors, and Natural Transformations
Introduces categories, concrete examples, opposite categories, and isomorphisms, leading to groupoids.
Characterizing Fibrations in Chain Complexes
Explores the characterization of fibrations and acyclic fibrations in chain complexes.
Laplacian Matrix in Networked Control Systems
Explores the Laplacian matrix in electric and mechanical networks, consensus, and properties of Laplacian matrices in networked control systems.
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