New algorithms for the minimum coloring cut problem

被引:6
|
作者
Bordini, Augusto [1 ,2 ]
Protti, Fabio [1 ]
da Silva, Thiago Gouveia [1 ,3 ]
de Sousa Filho, Gilberto Farias [4 ]
机构
[1] Univ Fed Fluminense, Niteroi, RJ, Brazil
[2] Petrobras SA, Rio De Janeiro, RJ, Brazil
[3] Inst Fed Educ Ciencia & Tecnol Paraiba, Joao Pessoa, Paraiba, Brazil
[4] Univ Fed Paraiba, Joao Pessoa, Paraiba, Brazil
关键词
minimum coloring cut problem; combinatorial optimization; graph theory; variable neighborhood search; label cut problem;
D O I
10.1111/itor.12494
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
The minimum coloring cut problem is defined as follows: given a connected graph G with colored edges, find an edge cut E' of G (a minimal set of edges whose removal renders the graph disconnected) such that the number of colors used by the edges in E' is minimum. In this work, we present two approaches based on variable neighborhood search to solve this problem. Our algorithms are able to find all the optimum solutions described in the literature.
引用
收藏
页码:1868 / 1883
页数:16
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