Title
The Rainbow Connection Problem: Mathematical Formulations.
Abstract
The concept of rainbow connection was introduced by Chartrand et al. in 2008. The rainbow connection number, rc(G), of a connected graph G = (V, E) is the minimum number of colors needed to color the edges of E, so that each pair of the vertices in V is connected by at least one path in which no two edges are assigned the same color. The rainbow vertex-connection number, rvc(G), is the vertex version of this problem. In this paper, we introduce mixed integer programming models for both versions of the problem. We show the validity of the proposed models and test their efficiency using a nonlinear programming solver.
Year
Venue
Keywords
2016
ARS COMBINATORIA
Graph theory,rainbow connection,rainbow vertex-connection,mathematical modeling,mixed-integer programming
Field
DocType
Volume
Discrete mathematics,Algebra,Rainbow,Mathematics
Journal
127
ISSN
Citations 
PageRank 
0381-7032
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Hakan Kutucu163.58
F. Nuriyeva200.34
Onur Ugurlu300.68