Title
The Rainbow Cycle Cover Problem
Abstract
AbstractWe model and solve the Rainbow Cycle Cover Problem RCCP. Given a connected and undirected graph G=V,E,L and a coloring function ï ź that assigns a color to each edge of G from the finite color set L, a cycle whose edges have all different colors is called a rainbow cycle. The RCCP consists of finding the minimum number of disjoint rainbow cycles covering G. The RCCP on general graphs is known to be NP-complete. We model the RCCP as an integer linear program, we derive valid inequalities and we solve it by branch-and-cut. Computational results are reported on randomly generated instances. © 2016 Wiley Periodicals, Inc. NETWORKS, Vol. 684, 260-270 2016
Year
DOI
Venue
2016
10.1002/net.21700
Periodicals
Keywords
Field
DocType
rainbow cycle cover problem,edge-colored graph,rainbow cycles,branch-and-cut
Integer,Graph,Discrete mathematics,Cycle cover,Combinatorics,Disjoint sets,Branch and cut,Linear programming,Rainbow,Mathematics
Journal
Volume
Issue
ISSN
68
4
0028-3045
Citations 
PageRank 
References 
3
0.45
22
Authors
3
Name
Order
Citations
PageRank
Selene Silvestri160.86
Gilbert Laporte28666612.13
R. Cerulli325223.85