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Lecture
Dijkstra's Algorithm: All-Pairs
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Graph Algorithms II: Traversal and Paths
Explores graph traversal methods, spanning trees, and shortest paths using BFS and DFS.
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Covers algorithmic complexity and travel time analysis, focusing on measuring the time taken by algorithms and evaluating their performance.
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Explores Prim's algorithm for minimum spanning trees and introduces the Traveling Salesman Problem.
Integer Program Formulation
Covers the process of formulating integer programs and improving solutions.
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Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.
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Compares random and symmetrical graph coloring in terms of cluster colorability and equilibrium.
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Explores convex polyhedra, linear programs, and their optimization importance.
Introduction to Shortest Path
Introduces the concept of shortest path, discussing weighted paths, Hamiltonian paths, and path optimization algorithms.