Three Problems in Graph Imbedding to Show P Does Not Equal NP

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Abstract

The P versus NP problem, a conjecture formulated by Stephen Cook in 1971, is one of the most challenging problems in contemporary mathematics and theoretical computer science. A concise mathematical formulation of the problem reads: is P = NP? In longer phrasing, this asks: given a problem instance, if some additional data can be recognized fast enough as logically implying the existence of a solution (to the instance), then can a so- lution be computed fast enough? we formulate three problems in graph imbedding to show P ≠ NP.

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europepmc
last seen: 2026-05-20T01:45:00.602351+00:00
unpaywall
last seen: 2026-05-28T02:00:01.590549+00:00
License: CC-BY-4.0