Title
Heuristic approaches for the Minimum Labelling Hamiltonian Cycle Problem
Abstract
Given a graph G with a label (color) assigned to each edge (not necessarily properly) we look for an hamiltonian cycle of G with the minimum number of different colors. The problem has several applications in telecommunication networks, electric networks, multimodal transportation networks, among others, where one aims to ensure connectivity or other properties by means of limited number of different connections. We analyze the complexity of the problem on special graph classes and propose, for the general case, heuristic resolution algorithms. Performances of the algorithms are experimentally evaluated on a set of instances and compared with the exact solution value provided by a solver.
Year
DOI
Venue
2006
10.1016/j.endm.2006.06.080
Electronic Notes in Discrete Mathematics
Keywords
Field
DocType
Labelled graph algorithms,Hamiltonian cycles,Tabu search
Discrete mathematics,Combinatorics,Mathematical optimization,Heuristic,Graph power,Hamiltonian path,Hamiltonian path problem,Graph bandwidth,Factor-critical graph,Solver,Mathematics,Voltage graph
Journal
Volume
ISSN
Citations 
25
1571-0653
7
PageRank 
References 
Authors
0.54
3
4
Name
Order
Citations
PageRank
R. Cerulli125223.85
P. Dell'Olmo215115.33
M. Gentili3323.35
A. Raiconi41319.68