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Dijkstra’s Algorithm:

• Dijkstra’s algorithm is a Link-state algorithm which computes the least-expense route from one node to all various other nodes in the netoccupational.

You are watching: Consider the following network. with the indicated link costs

• Dijkstra’s algorithm is iterative.

• The least-price paths are known to k location nodes after the iteration of the algorithm. These k routes will have actually the k smallest prices among the least-expense paths to all destination nodes.

The complying with terms are used in the algorithm:

D(v) = leastern price of the path from the source to the location for the node v.

p(v) = previous node alengthy the present route with leastern cost from resource to node v.

N’ = subset of nodes.

The adhering to table represents the computation of shortest path from resource x to all the nodes in the network-related is as follows:

Because of this, the following are shortest courses from x together with their costs: t: xvt = 7; u: xvu = 6; v: xv = 3; w: xw = 6; y: xy = 6; z: xz = 8

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