We describe a new branch-and-bound algorithm for the exact solution of the maximum cardinality stable set problem. The bounding phase is based on a variation of the standard greedy algorithm for finding a colouring of a graph. Two different node-fixing heuristics are also described. Computational tests on random and structured graphs and very large graphs corresponding to 'real-life' problems show that the algorithm is competitive with the fastest algorithms known so far. © 1994 Kluwer Academic Publishers.
An exact algorithm for the maximum stable set problem / Mannino, Carlo; Sassano, Antonio. - In: COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. - ISSN 0926-6003. - 3:3(1994), pp. 243-258. [10.1007/bf01299447]
An exact algorithm for the maximum stable set problem
MANNINO, Carlo;SASSANO, Antonio
1994
Abstract
We describe a new branch-and-bound algorithm for the exact solution of the maximum cardinality stable set problem. The bounding phase is based on a variation of the standard greedy algorithm for finding a colouring of a graph. Two different node-fixing heuristics are also described. Computational tests on random and structured graphs and very large graphs corresponding to 'real-life' problems show that the algorithm is competitive with the fastest algorithms known so far. © 1994 Kluwer Academic Publishers.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.