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Lecture 16 Network Models: Minimal Spanning Tree

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Lecture 16Network Models: Minimal Spanning TreeOctober 16, 2009Lecture 16Outline Network Models Minimal Spanning tree Problem - TODAY Shortest Route Problem Maximal-flow ProblemOperations research Methods1Lecture 16Bridges of K onigsbergThe city of K onigsberg in Prussia was established in can see the map of Prussia and the city onigsberg was set on the banks of Pregel River, and it included two largeislands which were connected to each other and the mainland by sevenbridges. The inhabitants of the city wanted to decide whether it is possibleto follow a path that crosses each bridge exactly once and returns to thestarting pointThe problem became know as the Seven Bridges of K research Methods2Lecture 16The Seven Bridges of K onigsbergOperations research Methods3Lecture 16In 1736, Euler solved the problemshowing that such a path does notexist.

Lecture 16 Outline • Network Models • Minimal Spanning Tree Problem - TODAY • Shortest Route Problem • Maximal-flow Problem Operations Research Methods 1

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