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Discrete Optimization Assignment 1

Discrete Optimization Assignment 1. Shortest paths. Slides available online https://project.inria.fr/2015ma2827/. The Shortest Path Problem. s. Find the shortest path from s to t. v 0. 3. 2. Length of path = Σ Length of arcs. -1. v 1. v 4. 3. 1. 2. 6. v 2. v 5. 3. 5. -3.

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Discrete Optimization Assignment 1

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  1. Discrete OptimizationAssignment 1 Shortest paths Slides available online https://project.inria.fr/2015ma2827/

  2. The Shortest Path Problem s Find the shortest path from s to t v0 3 2 Length of path = Σ Length of arcs -1 v1 v4 3 1 2 6 v2 v5 3 5 -3 v3 2 v6 1 7 v7 t

  3. The Shortest Path Problem Find the shortest path from s to t v0 3 2 s Length of path = Σ Length of arcs -1 v1 v4 3 1 2 6 v2 v5 3 5 -3 v3 2 v6 t 1 7 v7

  4. The Shortest Path Problem Find the shortest path from s to t v0 3 2 s Length of path = Σ Length of arcs -1 v1 v4 3 1 2 6 v2 v5 3 5 -3 v3 2 v6 t 1 7 v7

  5. Task • 5 test graphs (from 100 to 100000 nodes) • Compute several shortest paths • Implement any algorithm you like • Some graphs have special properties!

  6. Submission • Submit by e-mail: ecp.ma2827@gmail.com Instructions: https://project.inria.fr/2015ma2827/ • We want solutions to 5 tests, code producing those, report in PDF format • Working in pairs is allowed. Teams should be registered (ecp.ma2827@gmail.com) before 8th April, 2016

  7. Use Python! • We recommend Python 2.7 and Numpy • Third-party implementations of graph algorithms are not allowed • If you desperately need other language then talk to us (ecp.ma2827@gmail.com)

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