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answeredOct 8, 2020by (user.guest)

Dijkstra’s Algorithm:

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

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

• Dijkstra’s algorithm is iterative.

• The least-cost courses are well-known to k destination nodes ~ the iteration that the algorithm. This k paths will have actually the k the smallest costs among the least-cost paths to all location nodes.

The following terms are provided in the algorithm:

D(v) = least price of the path from the resource to the destination for the node v.

p(v) = ahead node along the present path through least cost from source to node v.

N’ = subset that nodes.

The adhering to table to represent the computation of shortest route from resource x to all the nodes in the network is as follows:

Therefore, the following are shortest routes from x along 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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