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Verified Approximation Algorithms

We present the first formal verification of approximation algorithms for NP-complete optimization problems: vertex cover, independent set, load balancing, and bin packing. We uncover incompletenesses in existing proofs and improve the approximation ratio in one case.

Detalles Bibliográficos
Autores principales: Eßmann, Robin, Nipkow, Tobias, Robillard, Simon
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7324048/
http://dx.doi.org/10.1007/978-3-030-51054-1_17
Descripción
Sumario:We present the first formal verification of approximation algorithms for NP-complete optimization problems: vertex cover, independent set, load balancing, and bin packing. We uncover incompletenesses in existing proofs and improve the approximation ratio in one case.