Mesure et action des i-permutations sur les multigraphes multicolores finis et inifinis

Autor: Sghiar, Mohamed

Among other results, the purpose of this article is to show the existence of an $\mathbb{R}$-space-vector with basis $\omega^i_j $, $i, j$ are integers such that every graph with n vertex $n \geq 3$ is the vector: $$\mathcal{V}(n) = \sum_{j=0}^{n-1}

Externí odkaz: http://arxiv.org/abs/1506.08963

The Special Functions and the Proof of the Riemann's Hypothesis

Autor: Sghiar, Mohamed

Publikováno v: IOSR Journal of Mathematics(IOSR-JM)
IOSR Journal of Mathematics(IOSR-JM), International Organization Of Scientific Research, 2020, 16, Issue 3, Serie II, pp.10-12

By studying the function whose integer zeros are the prime numbers, and being inspired by the article [2], I give a new proof of the Riemann hypothesis.
En étudiant la fonction dont les zéros entiers sont les nombres premiers, et en m'inspi-ra

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::5dc057efed4ba2f8856e3c1e2dd9894d
https://hal.archives-ouvertes.fr/hal-02865803/document

La (-1)-reconstruction des graphes symétriques à au moins 3 éléments

Autor: Sghiar, Mohamed

Publikováno v: IOSR Journal of Computer Engineering (IOSR-JCE)
IOSR Journal of Computer Engineering (IOSR-JCE), International Organization Of Scientific Research (IOSR), A paraître

In this article, by algebraic and geometrical techniques, I give a proof to the famous conjecture of Ulam [10] on the (-1)-reconstruction of the symmetric graphs with at least 3 elements conjectured in 1942, although was published only in 1960.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::d7d141cdd7195daec48792f442ce2eef
https://hal.archives-ouvertes.fr/hal-02784689/document

Action adjointe sur les graphes et la preuve de la conjecture P=NP

Autor: Sghiar, Mohamed

Publikováno v: IOSR Journal of Computer Engineering (IOSR-JCE)
IOSR Journal of Computer Engineering (IOSR-JCE), International Organization Of Scientific Research (IOSR), A paraître, 22 (Issue 3, Serie II), pp.46-49

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 nd all the Hamiltonian cycles of the graph. Finally I will apply the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91d4809cdefabf15be4c10cc60b13fc8

Prime numbers, Goldbach's conjecture, De Polignac's conjecture, Legendre's conjecture, and Landau's conjecture

Autor: Sghiar, Mohamed

Inspired by the article [3], the introduction of the function $\hat{\circledS}$ whose integer zeros are the prime numbers, will allow me to demonstrate analytically the Goldbach's conjecture [6], the De Polignac's Conjecture [7], the Legendre's conje

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::778bd23f816a8344e37d3adeb6ecc78e
https://hal.archives-ouvertes.fr/hal-02997473v3/document