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The Shortest Path ProblemThe Shortest Path Problem

The Shortest path ProblemThe Shortest path Problem111111 Cpt S 223. School of EECS, WSUS hortest- path Algorithms Find the Shortest path from point A to point B Shortest in time, distance, cost, .. Numerous applications Numerous applications Map navigation Flight itineraries Circuit wiring Network routing22222 Cpt S 223. School of EECS, WSUS hortest path ProblemsWeighted graphs: Input is a weighted graph where each edge (vi,vj) pggpg(i,j)has cost ci,jto traverse the edge Cost of a path 111,Niiic Goal:to find a smallest cost pathUnweighted graphs: Input is an unweighted graph , all edges are of equal weightGoal:to find a path with smallest number of hops3 Cpt S 223.

Shortest Path Problems Weighted graphs: Inppggp g(ut is a weighted graph where each edge (v i,v j) has cost c i,j to traverse the edge Cost of a path v 1v 2…v N is 1 1, 1 N i c i i Goal: to find a smallest cost path Unweighted graphs: Input is an unweighted graph i.e., all edges are of equal weight Goal: to find a path with smallest number of hopsCpt S 223.

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