Combinatorics and Graph Theory

   

Action Adjointe Sur Les Graphes et la Preuve de la Conjecture P=NP

Authors: Mohamed Sghiar

I study the link between the adjoint action and the Hamiltonian cycles in a symmetric graph. Then by a simple algebraic resolution of a system of equations with several variables I find all the Hamiltonian cycles of the graph. Finally I will apply the results found to give an algorithm of order $ \mathcal{ O } (n ^ 3 ) $ allowing to quickly give all the Hamiltonian cycles with their distance. This gives a proof of the conjecture $ P = NP $.

Comments: 10 Pages. Submited, Frensh version

Download: PDF

Submission history

[v1] 2020-05-06 09:07:23

Unique-IP document downloads: 278 times

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