A Linear Programming Approach to Increasing the Weight of all Minimum Spanning Trees

Given a graph where increasing the weight of an edge has a convex piecewise linear cost, we study the problem of nding a minimum cost increase of the weights so that the value of all minimum spanning trees is equal to some target value. We formulate this as a combinatorial linear program and give an algorithm.

By: Francisco Barahona, Mourad Baiou

Published in: RC23432 in 2004


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