On Sequential Heuristic Methods for the Maximum Independent Set Problem
Discussiones Mathematicae. Graph Theory, Tome 37 (2017) no. 2, pp. 415-426

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We consider sequential heuristics methods for the Maximum Independent Set (MIS) problem. Three classical algorithms, VO [11], MIN [12], or MAX [6], are revisited. We combine Algorithm MIN with the α-redundant vertex technique[3]. Induced forbidden subgraph sets, under which the algorithms give maximum independent sets, are described. The Caro-Wei bound [4,14] is verified and performance of the algorithms on some special graphs is considered.
Keywords: maximum independent set, heuristic, MIN, MAX, VO, vertex ordering
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Lê, Ngoc C.; Brause, Christoph; Schiermeyer, Ingo. On Sequential Heuristic Methods for the Maximum Independent Set Problem. Discussiones Mathematicae. Graph Theory, Tome 37 (2017) no. 2, pp. 415-426. http://geodesic.mathdoc.fr/item/DMGT_2017_37_2_a7/