Question: We are given a connected graph G with costs c ( i , j ) on edges. Assume all costs are positive integers and that

We are given a connected graph G with costs c(i, j) on edges. Assume all costs are positive integers and that there are no ties. If all edge costs are multiplied by 10(meaning each edge cost c'(i, j)= c(i, j)10), a Shortest Path Tree (SPT) rooted at node A remains the same tree.

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