In this work we introduce and study the strong generalized minimum label spanning tree (GMLST), a novel optimization problem defined on edge-labeled graphs. Given a label set associated to each edge of the input graph, the aim is to look for the spanning tree using the minimum number of labels. Differently from the previously introduced GMLST problem, including a given edge in the solution means that all its labels are used. We present a mathematical formulation, as well as three heuristic approaches to solve the problem. Computational results compare the performances of the proposed algorithms.

Heuristics for the strong generalized minimum label spanning tree problem

Cerrone, Carmine
Membro del Collaboration Group
;
D'Ambrosio, Ciriaco
Membro del Collaboration Group
;
Raiconi, Andrea
Membro del Collaboration Group
2019-01-01

Abstract

In this work we introduce and study the strong generalized minimum label spanning tree (GMLST), a novel optimization problem defined on edge-labeled graphs. Given a label set associated to each edge of the input graph, the aim is to look for the spanning tree using the minimum number of labels. Differently from the previously introduced GMLST problem, including a given edge in the solution means that all its labels are used. We present a mathematical formulation, as well as three heuristic approaches to solve the problem. Computational results compare the performances of the proposed algorithms.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4721613
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