A shortest path tree from source node s in a graph G is a directed out-tree rooted from node…

A shortest path tree from source node s in a graph G is a directed out-tree rooted from node…

Question:

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A shortest path tree from source node s in a graph G is a directed out-tree
rooted from node s with the property that the unique path (in the tree) from the node s to
any node is a shortest path (in the graph G) to that node.
Suppose that all directed cycles in a directed graph G have non-negative costs. Furthermore,
suppose that the shortest path length II*(i) from node s to any other node i is known. Provide
an algorithm to identify the shortest path tree for G. What is the running time for your
algorithm?

Expert Answer:

Answer rating: 100% (QA)

Answer Initialize a priority queue or min heap Q to store nodes with their tentative distances from
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