Concept
Independent set (graph theory)
Related lectures (55)
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Covers embedding graphs into trees with a focus on minimizing distortion and Bartal Tree embeddings.
Statistical Analysis of Network Data: Hypergraphs
Introduces hypergraphs, generalizing graphs by allowing subsets of nodes to form edges and exploring their applications in various fields.
Dynamical Systems: Lecture 2
Introduces dynamical systems, covering modeling, laws of motion, linearity, time invariance, and external forces.
Directed Networks & Hypergraphs
Explores directed networks with asymmetric relationships and hypergraphs that generalize graphs by allowing edges to connect any subset of nodes.
Integer Optimization: Theory and Applications
Covers the fundamentals of integer optimization, including integer programming, dynamic programming, and approximation algorithms.
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Covers the BRST symmetry in Quantum Field Theory, focusing on physical states and norm preservation.
Review Sessions and Exam Preparation
Discusses review sessions, exam preparation, problem-solving focus, and collaborative exam planning.
Measurable Functions: Independence
Explores independence between sigma-algebras and measurable functions, emphasizing countably additive measures and their role in defining independence.