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1. a) Given a digraph G = (V,E), prove that if we add a constant k to the length of every arc coming out from the root node r, the shortest path tree remains the same. Do this by using potentials:
i) Show there is a potential y* for the new costs for which the paths in the tree to each node v have cost y*v, and
ii) explain why this proves it. What is the relationship between the shortest path distances of the modified problem and those of the original problem?
b) Can adding a constant k to the length of every arc coming out from a non-root node produce a change in the shortest path tree? Justify your answer.
what is the answers of exercise 3.1
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DEVELOPING AN UNDERSTANDING OF SUBTRACTION : The process of subtraction is the reverse of that of addition. Adding more to a collection to make it bigger is just the reverse
Mike sells on the average 15 newspapers per week (Monday – Friday). Find the probability that 2.1 In a given week he will sell all the newspapers
i need help trying make a presentation for my teacher
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logical reasoning
if a+1/b=b+1/c=c+1/a then the value of abc is
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