lec15 - MIT OpenCourseWare http/ocw.mit.edu 6.006...

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Unformatted text preview: MIT OpenCourseWare http://ocw.mit.edu 6.006 Introduction to Algorithms Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . Lecture 15 Shortest Paths I: Intro 6.006 Spring 2008 Lecture 15: Shortest Paths I: Intro Lecture Overview Homework Preview • • Weighted Graphs • General Approach • Negative Edges • Optimal Substructure Readings CLRS, Sections 24 (Intro) Motivation: Shortest way to drive from A to B ( Google maps “get directions” Formulation: Problem on a weighted graph G ( V, E ) W : E → Two algorithms: Dijkstra O ( V lg V + E ) assumes non-negative edge weights Bellman Ford O ( V E ) is a general algorithm Problem Set 5 Preview: • Use Dijkstra to find shortest path from CalTech to MIT – See “CalTech Cannon Hack” photos (search web.mit.edu – See Google Maps from CalTech to MIT • Model as a weighted graph G ( V, E ) ,W : E → – V = vertices (street intersections) – E = edges (street, roads);...
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This note was uploaded on 09/24/2010 for the course CS 6.006 taught by Professor Erikdemaine during the Spring '08 term at MIT.

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lec15 - MIT OpenCourseWare http/ocw.mit.edu 6.006...

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