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Physarum can compute shortest paths
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Related lectures (35)
Belief Propagation in Random Graphs
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Explores belief propagation in random graphs and Bethe free entropy.
Concurrent Programming: Theory to Practice
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Explores concurrent programming theory and practice, covering system models, cache coherence, and graph processing.
Graph Algorithms: Memory Management and Traversal
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Explores memory management, graph representation, and traversal algorithms in Python, emphasizing BFS and DFS.
Graphs and Networks: Basics and Applications
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Introduces the basics of graphs and networks, covering definitions, paths, trees, flows, circulation, and spanning trees.
Sparsest Cut: Leighton-Rao Algorithm
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Covers the Leighton-Rao algorithm for finding the sparsest cut in a graph, focusing on its steps and theoretical foundations.
Bellman Ford Algorithm
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Explores the Bellman Ford algorithm for finding the shortest path in graphs with negative edge weights.
Network Flows Meets Simplex
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Explores network flows, simplex method, linear programming, tree solutions, and dual solutions in optimization problems.
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Bounded Network Flow: Solvable Minult-Maxcret Problem
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Covers solving bounded network flow problems by adjusting flow capacities and constraints, including binary programs.
Interlacing Families and Ramanujan Graphs
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Explores interlacing families, Ramanujan graphs, and their construction using signed adjacency matrices.
Translations and Homotheties
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Covers translations, homotheties, and geometric transformations using vectors and matrices.
Isogenic Graphs: Spectral Analysis and Mathematical Applications
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Explores isogenic graphs, spectral properties, and mathematical applications in modular forms and cryptography.
Cheeger's Inequality
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Explores Cheeger's inequality and its implications in graph theory.
Building Ramanujan Graphs
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Explores the construction of Ramanujan graphs using polynomials and addresses challenges with the probabilistic method.
Data-Parallel Programming: Vector & SIMD Processors
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Explores data-parallel programming with vector processors and SIMD, and introduces MapReduce, Pregel, and TensorFlow.
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