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The Minimum Spanning Tree Problem with Conflicts consists in finding theminimum conflict-free spanning tree of a graph, i.e., the spanning tree ofminimum cost, including no pairs of edges that are in conflict. In this paper,we solve this problem using a tailored Kernel Search heuristic method, whichconsists in solving iteratively improved restrictions of the problem. The mainnovelty of the approach consists in using an independent set of the conflictgraph within the algorithm. We test our approach on the benchmark instances andwe compare our results with the ones obtained by other heuristics available inthe literature.

Kernel Search approach to solve the Minimum Spanning Tree Problem with conflicting edge pairs