Question: 27. (a) For the tree labeling schemes, show that there is no uniform bound on the dialation, which is defined as the ratio of the

27.

(a) For the tree labeling schemes, show that there is no uniform bound on the dialation, which is defined as the ratio of the length of the tree path to the optimal path, between any pair of nodes and an arbitrary tree.

(b) Is it possible to bound the dialation by choosing a tree for any given graph? Explain your answer.

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