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The Shortest Path ProblemThe Shortest Path Problem

eecs.wsu.edu

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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7.2 Calculus of Variations - MIT Mathematics

math.mit.edu

The shortest path is a circular arc! It goes high enough to enclose area A. TheR three numbers m;c;d are determined by the conditions u(0) = a;u(1) = b, and udx = A. The arc is drawn in Figure 7.5 (and m is negative). We now summarize the one-dimensional case, allowing F …

  Variations, Path, Calculus, Shortest, Calculus of variations, Shortest path

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