Title
Minimum spanning tree with conflicting edge pairs: a branch-and-cut approach
Abstract
In this paper, we show a branch-and-cut approach to solve the minimum spanning tree problem with conflicting edge pairs. This is a NP-hard variant of the classical minimum spanning tree problem, in which there are mutually exclusive edges. We introduce a new set of valid inequalities for the problem, based on the properties of its feasible solutions, and we develop a branch-and-cut algorithm based on them. Computational tests are performed both on benchmark instances coming from the literature and on some newly proposed ones. Results show that our approach outperforms a previous branch-and-cut algorithm proposed for the same problem.
Year
DOI
Venue
2021
10.1007/s10479-018-2895-y
Annals of Operations Research
Keywords
DocType
Volume
Minimum spanning tree, Conflicting edges, Branch-and-cut
Journal
298
Issue
ISSN
Citations 
1
1572-9338
1
PageRank 
References 
Authors
0.36
9
4
Name
Order
Citations
PageRank
Francesco Carrabs119915.55
R. Cerulli225223.85
Rosa Pentangelo310.36
A. Raiconi41319.68