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Related lectures (32)
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Eigenvalues and Sequences
Discusses finding d-regular graphs with specific eigenvalue properties and the existence of Ramasugan sequences for d-opt prime numbers.
Graphs and Networks: Basics and Applications
Introduces the basics of graphs and networks, covering definitions, paths, trees, flows, circulation, and spanning trees.
Group Theory: Definition and Examples
Covers the definition of a group, properties of symmetries, and group operations.
Nonlinear Dimension Reduction Methods
Explores nonlinear dimension reduction methods preserving neighborhoods in lower-dimensional spaces.
Epidemics and Bootstrap Percolation in Square Lattice
Explores epidemics spread models and Bootstrap Percolation in square lattice networks, focusing on the Kolmogorov equation and probability generating functions.
Geometric Rotations in 2D
Covers the geometric definition of rotations in 2D and analytical expressions for rotations using matrices.
Integer Programming and Network Flows
Covers the fundamentals of integer programming and network flows in directed graphs.
Network Flows Meets Simplex
Explores network flows, simplex method, linear programming, tree solutions, and dual solutions in optimization problems.
Directed Graphs: Introduction and Categories
Covers the fundamental notion of composition in directed graphs and provides examples of their representation.
Flow Networks: Strongly Connected Components
Introduces Strongly Connected Components and Flow Networks, discussing algorithms and applications.