Solving maximum independent set by asynchronous distributed hopfield-type neural networks
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 40 (2006) no. 2, pp. 371-388.

We propose a heuristic for solving the maximum independent set problem for a set of processors in a network with arbitrary topology. We assume an asynchronous model of computation and we use modified Hopfield neural networks to find high quality solutions. We analyze the algorithm in terms of the number of rounds necessary to find admissible solutions both in the worst case (theoretical analysis) and in the average case (experimental Analysis). We show that our heuristic is better than the greedy one at 1% significance level.

DOI : https://doi.org/10.1051/ita:2006012
Classification : 68W15,  90C59,  05C69
Mots clés : max independent set, hopfield networks, asynchronous distributed algorithms
@article{ITA_2006__40_2_371_0,
     author = {Grossi, Giuliano and Marchi, Massimo and Posenato, Roberto},
     title = {Solving maximum independent set by asynchronous distributed hopfield-type neural networks},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {371--388},
     publisher = {EDP-Sciences},
     volume = {40},
     number = {2},
     year = {2006},
     doi = {10.1051/ita:2006012},
     zbl = {1112.68119},
     mrnumber = {2252645},
     language = {en},
     url = {http://www.numdam.org/item/ITA_2006__40_2_371_0/}
}
Grossi, Giuliano; Marchi, Massimo; Posenato, Roberto. Solving maximum independent set by asynchronous distributed hopfield-type neural networks. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 40 (2006) no. 2, pp. 371-388. doi : 10.1051/ita:2006012. http://www.numdam.org/item/ITA_2006__40_2_371_0/

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