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Engineering, 06.11.2019 21:31 heynow111

You are given a graph g = (v, e) with positive edge weights, and a minimum spanning tree t = (v , e ′ ) with respect to these weights; you may assume g and t are given as adjacency lists. now suppose the weight of a particular edge e ∈ e is modified from w(e) to a new value wˆ(e). you wish to quickly update the minimum spanning tree t to reflect this change, without recomputing the entire tree from scratch. there are four cases. in each case give a linear-time algorithm for updating the tree.

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