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Related lectures (31)

Graphs and Networks: Basics and Applications

Introduces the basics of graphs and networks, covering definitions, paths, trees, flows, circulation, and spanning trees.

Finding a Base from a System of Generators

Covers the process of finding a base from a system of generators in linear algebra.

Matrix Representations: 3x3 Rank

Explores the concept of rank in 3x3 matrix representations and how it determines the structure of matrices.

Networked Control Systems: Graph Theory and Stochastic Matrices

Explores graph theory, stochastic matrices, consensus algorithms, and spectral properties in networked control systems.

Linear Equations and Vector Spaces

Delves into linear equations, vector spaces, and matrix operations, exploring solutions and representations through examples and algebraic methods.

Matrix Representations of Linear Applications

Covers matrix representations of linear applications in R³ and the invariance of rank.

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.

Matrix Tree Theorem

Explores the Matrix Tree Theorem and its application in calculating spanning trees in graphs.

Network Flows Meets Simplex

Explores network flows, simplex method, linear programming, tree solutions, and dual solutions in optimization problems.

Quantization: Topological Operators

Covers the quantization of topological operators and Ising models on square lattices.

Network Flow Algorithms

Covers network flow algorithms, including Max Flow, Min Cut, and Negative Cost Cycle Algorithm, progressing from basic definitions to advanced algorithms like Bellman-Ford and Dijkstra's.

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