The minimum labeling spanning trees
Information Processing Letters
On the minimum label spanning tree problem
Information Processing Letters
A note on the minimum label spanning tree
Information Processing Letters
Introduction to Evolutionary Computing
Introduction to Evolutionary Computing
A one-parameter genetic algorithm for the minimum labeling spanning tree problem
IEEE Transactions on Evolutionary Computation
Worst-case behavior of the MVCA heuristic for the minimum labeling spanning tree problem
Operations Research Letters
Greedy heuristics and evolutionary algorithms for the bounded minimum-label spanning tree problem
Proceedings of the 10th annual conference on Genetic and evolutionary computation
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Given a connected, undirected graph G with labeled edges, the minimum label spanning tree problem seeks a spanning tree on G to whose edges are attached the smallest possible number of labels. A greedy heuristic for this NP-hard problem greedily chooses labels so as to reduce the number of components in the subgraphs they induce as quickly as possible. A genetic algorithm for the problem encodes candidate solutions as per mutations of the labels; an initial segment of such a chromosome lists the labels that appear on the edges in the chromosome's tree. Three versions of the GA apply generic or heuristic crossover and mutation operators and a local search step. In tests on 27 randomly-generated instances of the minimum-label spanning tree problem, versions of the GA that apply generic operators, with and without the local search step, perform less well than the greedy heuristic, but a version that applies the local search step and operators tailored to the problem returns solutions that require on average 10 fewer labels than the heuristic's.