@Article{cmes.2020.09502,
AUTHOR = {Mugang Lin, Fangju Liu, Huihuang Zhao, Jianzhen Chen},
TITLE = {A Novel Binary Firey Algorithm for the Minimum Labeling Spanning Tree Problem},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {125},
YEAR = {2020},
NUMBER = {1},
PAGES = {197--214},
URL = {http://www.techscience.com/CMES/v125n1/40213},
ISSN = {1526-1506},
ABSTRACT = {Given a connected undirected graph <i>G</i> whose edges are labeled, the
minimum labeling spanning tree (MLST) problem is to find a spanning tree of <i>G</i> with the smallest number of different labels. The MLST is an NP-hard combinatorial optimization problem, which is widely applied in communication
networks, multimodal transportation networks, and data compression. Some
approximation algorithms and heuristics algorithms have been proposed for
the problem. Firey algorithm is a new meta-heuristic algorithm. Because
of its simplicity and easy implementation, it has been successfully applied in
various fields. However, the basic  firefly algorithm for the MLST problem is proposed in this paper. A binary operation method to update firefly positions and a local feasible handling method are introduced, which correct
unfeasible solutions, eliminate redundant labels, and make the algorithm more
suitable for discrete problems. Computational results show that the algorithm
has good performance. The algorithm can be extended to solve other discrete
optimization problems.},
DOI = {10.32604/cmes.2020.09502}
}