On the class of NP-complete problems and rank approach

by Sergey Listrovoy

It is shown an incorrectness of introduction of a class of NP-complete problems, which reason is that Cook’s S.A. theorem on that the “satisfiability” problem is the universal NP-complete problem, is not true and, therefore, the issue on existence of at least one NP-complete problem remains open, that explains failures of attempts to estimate correlations between P and NP classes. Developed a universal procedure for solving a wide range of discrete optimization problems, which can be efficiently parallelized based on cyclic structures.

108 pages, Paperback

Published July 3, 2014