Solving the minimum labeling global cut problem by mathematical programming

Thiago Gouveia da Silva; Gilberto F. de Sousa Filho; Luiz Satoru Ochi; Philippe Michelon; Serigne Gueye; Lucidio A. F. Cabral

arXiv · 1903.04319

Solving the minimum labeling global cut problem by mathematical programming

Thiago Gouveia da Silva·Gilberto F. de Sousa Filho·Luiz Satoru Ochi·Philippe Michelon·Serigne Gueye·Lucidio A. F. Cabral

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Abstract

Let G = (V, E, L) be an edge-labeled graph such that V is the set of vertices, E is the set of edges, L is the set of labels (colors) and each edge e \in E has a label l(e) associated; The goal of the minimum labeling global cut problem (MLGCP) is to find a subset L \subseteq L of labels such that G = (V, E , L\L ) is not connected and |L| is minimized. This work proposes three new mathematical formulations for the MLGCP as well as branch-and-cut algorithms to solve them. The computational experiments showed that the proposed methods are able to solve small to average sized instances in a reasonable amount of time.

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BibTeX RIS

Thiago Gouveia da Silva, Gilberto F. de Sousa Filho, Luiz Satoru Ochi, Philippe Michelon, Serigne Gueye, Lucidio A. F. Cabral. 2019-03-11. Solving the minimum labeling global cut problem by mathematical programming. https://arxiv.org/abs/1903.04319

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