Title
A new approach for the rainbow spanning forest problem
Abstract
Given an edge-colored graph G, a tree with all its edges with different colors is called a rainbow tree. The rainbow spanning forest (RSF) problem consists of finding a spanning forest of G, with the minimum number of rainbow trees. In this paper, we present an integer linear programming model for the RSF problem that improves a previous formulation for this problem. A GRASP metaheuristic is also implemented for providing fast primal bounds for the exact method. Computational experiments carried out over a set of random instances show the effectiveness of the strategies adopted in this work, solving problems in graphs with up to 100 vertices.
Year
DOI
Venue
2020
10.1007/s00500-019-04145-6
soft computing
Keywords
Field
DocType
Graph theory, Edge-colored graph, Rainbow tree, Metaheuristic, Integer programming
Graph theory,Graph,GRASP,Vertex (geometry),Computer science,Spanning forest,Theoretical computer science,Integer programming,Rainbow,Metaheuristic
Journal
Volume
Issue
ISSN
24
5
1433-7479
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Jorge Moreno100.34
Simone L. Martins225320.94
Yuri Frota310513.98