Lecture8 - Graphs and Network Flows ISE 411 Lecture 8 Dr...

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Graphs and Network Flows ISE 411 Lecture 8 Dr. Ted Ralphs
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ISE 411 Lecture 8 1 Why study shortest path problems? They arise frequently in practice and as subproblems in higher-level algorithms. They are easy to solve efficiently. They capture most essential features of the broader class of network flow models . SPP is a good starting point for introducing ideas for designing algorithms with good worst-case performance.
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ISE 411 Lecture 8 2 Example: The Kevin Bacon Number Start with any actor or actress who has been in a movie and connect him or her to Kevin Bacon in the smallest number of links. Two people are linked if they have appeared in a movie together. Play on the web! . Example Alfred Hitchcock and Orson Welles: Show Business At War (1943) Orson Welles and Jack Nicholson: A Safe Place (1971) Jack Nicholson and Kevin Bacon: A Few Good Men (1992) How is the shortest path problem related to the Oracle of Kevin Bacon?
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ISE 411 Lecture 8 3 Formal Definition Definition 1. Given a directed network G = ( N, A ) with an arc length c ij associated with each arc ( i, j ) A and a distinguished node s
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  • Spring '14
  • TedRalphs
  • Graph Theory, Shortest path problem, shortest path, Kevin Bacon

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