A simple and effective algorithm for the maximum happy vertices problem

Marco Ghirardi () and Fabio Salassa
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Marco Ghirardi: DIGEP, Politecnico di Torino
Fabio Salassa: DIGEP, Politecnico di Torino

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2022, vol. 30, issue 1, No 8, 193 pages

Abstract: Abstract In a recent paper, a solution approach to the Maximum Happy Vertices Problem has been proposed. The approach is based on a constructive heuristic improved by a matheuristic local search phase. We propose a new procedure able to outperform the previous solution algorithm both in terms of solution quality and computational time. Our approach is based on simple ingredients implying as starting solution generator an approximation algorithm and as an improving phase a new matheuristic local search. The procedure is then extended to a multi-start configuration, able to further improve the solution quality at the cost of an acceptable increase in computational time.

Keywords: Happy coloring; Matheuristics; Local search; 90C27 Combinatorial Optimization; 90C11 Mixed Integer Programming; 90C59 Approximation methods and heuristics in mathematical programming (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s11750-021-00610-4

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