Complexity and Algorithms in Graphs
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Abstract
Abstract
In this paper, we consider the properties of the following objects: plafal and geo-space (a general overview). As an application of the created theory, the proof of the equality of complexity classes P and NP will be given. The geo-plafal is a kernel (computational template) of the proof; Khomchenko’ scientific school (the constructive theory of serendipity approximations), Stepanets’ scientific school and the Bogolyubov principle of the decay of correlations for an infinite three-dimensional systems is a shell of the proof.
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@article{Topchyi2026Theory,
title = {The Theory of Plafales: P VS NP Problem Solution},
author = {Dmytro Topchyi},
journal = {Preprints.org},
year = {2026},
doi = {10.20944/preprints202603.0689.v5},
url = {https://doi.org/10.20944/preprints202603.0689.v5}
}FAQ
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