Give algorithm-correctness proof-time complexity for tree

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Tree is a special type of graph, in which there is exactly one path between every pair of nodes. By removing nodes from a tree, we separate it into many small subtrees. Given a tree T=(V,E) consisting of n nodes and m edges and an integer k<n , find the minimum number of nodes in tree to remove so that the tree is separated into subtrees of sizes at most k. Provide the algorithm, the correctness proof and the time complexity.

Reference no: EM1368613

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