Graph Theory and Network Flows

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Related lectures (51)

Interlacing Families and Ramanujan Graphs Log in to Mediaspace to watch this video

Explores interlacing families of polynomials and 1-sided Ramanujan graphs, focusing on their properties and construction methods.

Reformulating Problems: Tools and Intuition Log in to Mediaspace to watch this video

Focuses on open problems and the importance of reformulating problems with better tools and intuition.

Statistical analysis of network data Log in to Mediaspace to watch this video

Covers stochastic properties, network structures, models, statistics, centrality measures, and sampling methods in network data analysis.

Embedding Graphs into Trees Log in to Mediaspace to watch this video

Covers embedding graphs into trees with a focus on minimizing distortion and Bartal Tree embeddings.

Graphical Models: Probability Distributions and Factor Graphs Log in to Mediaspace to watch this video

Covers graphical models for probability distributions and factor graphs representation.

Distances and Motif Counts Log in to Mediaspace to watch this video

Explores distances on graphs, cut norms, spanning trees, blockmodels, metrics, norms, and ERGMs in network data analysis.

Graph Algorithms: Modeling and Representation Log in to Mediaspace to watch this video

Covers the basics of graph algorithms, focusing on modeling and representation of graphs in memory.

Cheeger's Inequalities Log in to Mediaspace to watch this video

Explores Cheeger's inequalities for random walks on graphs and their implications.

Shortest Paths: Negative Weights Log in to Mediaspace to watch this video

Explores Bellman-Ford algorithm for negative weight graphs and currency exchange rates.

Cartesian Product: Graph Operations Log in to Mediaspace to watch this video

Explores the Cartesian product operation on graphs and introduces the concept of cubes.

Dynamic Programming: Knapsack Log in to Mediaspace to watch this video

Explores dynamic programming for the Knapsack problem, discussing strategies, algorithms, NP-hardness, and time complexity analysis.

Handshake Problem: Graph Representation Log in to Mediaspace to watch this video

Explores a classic handshake problem at a party using graph representation.

Graph Sketching: Connected Components Log in to Mediaspace to watch this video

Covers the concept of graph sketching with a focus on connected components.

Dijkstra's Algorithm Overview Log in to Mediaspace to watch this video

Demonstrates the iterative process of applying Dijkstra's algorithm to find optimal paths.

Message passing in graphical models Log in to Mediaspace to watch this video

Explains message passing in graphical models and the matching problem in graph theory.

Belief Propagation on Graphs Log in to Mediaspace to watch this video

Explores belief propagation on graphs, emphasizing normalization, recursive relations, and iterative computation of the partition function.

Graph Theory Basics Log in to Mediaspace to watch this video

Introduces graph theory basics, Ramsey theory, and graph coloring concepts.

Flow Networks: Strongly Connected Components Log in to Mediaspace to watch this video

Introduces Strongly Connected Components and Flow Networks, discussing algorithms and applications.

Algorithmic Paradigms for Dynamic Graph Problems Log in to Mediaspace to watch this video

Covers algorithmic paradigms for dynamic graph problems, including dynamic connectivity, expander decomposition, and local clustering, breaking barriers in k-vertex connectivity problems.

Concurrent Programming: Theory to Practice Log in to Mediaspace to watch this video

Explores concurrent programming theory and practice, covering system models, cache coherence, and graph processing.

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