Suppose we implement the tree-based union-find data structure using the unionby-size heuristic and path-compression heuristics. Show that
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Suppose we implement the tree-based union-find data structure using the unionby-size heuristic and path-compression heuristics. Show that the total running time for performing a sequence of m union and find operations, starting with n singleton sets, is O(m), if m ≥ n log n.
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First observe that there can be at most n union operations and each takes O1 time ...View the full answer
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Related Book For
Algorithm Design And Applications
ISBN: 9781118335918
1st Edition
Authors: Michael T. Goodrich, Roberto Tamassia
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