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In this paper we consider the discrete Laplacian acting on 1-forms and we study its spectrum relative to the spectrum of the 0-form Laplacian. We show that the non zero spectrum can coincide for these Laplacians with the same nature. We examine the c
Externí odkaz:
http://arxiv.org/abs/2406.03788
We consider a non self-adjoint Laplacian on a directed graph with non symmetric weights on edges. We give a criterion for the m-accretiveness and the m-sectoriality of this Laplacian. Our results are based on a comparison of this operator with its sy
Externí odkaz:
http://arxiv.org/abs/1906.07596
Autor:
Balti, Marwa
Publikováno v:
Filomat, University of Nis, 2017
We consider a non self-adjoint Laplacian on a directed graph with non symmetric edge weights. We analyse spectral properties of this Laplacian under a Kirchhoff assumption. Moreover we establish isoperimet-ric inequalities in terms of the numerical r
Externí odkaz:
http://arxiv.org/abs/1801.04088
We consider a non self-adjoint Laplacian on a directed graph with non symmetric edge weights. We give necessary conditions for this Laplacian to be sectorial. We introduce a special self-adjoint operator and compare its essential spectrum with that o
Externí odkaz:
http://arxiv.org/abs/1801.01661
Autor:
Balti, Marwa
Publikováno v:
Complex Analysis and Operator Theory, Springer Verlag, 2016, 11 (6), pp.1387 - 1406
This paper deals with spectral graph theory issues related to questions of monotonicity and comparison of eigenvalues. We consider finite directed graphs with non symmetric edge weights and we introduce a special self-adjoint operator as the sum of t
Externí odkaz:
http://arxiv.org/abs/1706.01633
Publikováno v:
In Indagationes Mathematicae March 2020 31(2):277-293
Autor:
Al-Quran, Ashraf, Al-Sharqi, Faisal, Ullah, Kifayat, Romdhini, Mamika Ujianita, Balti, Marwa, Alomair, Mohammed
Publikováno v:
International Journal of Neutrosophic Science (IJNS); 2023, Vol. 20 Issue 4, p65-77, 13p
Akademický článek
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Autor:
Balti, Marwa
Cette thèse traite des questions de théorie spectrale des graphes portant sur les opérateurs non auto-adjoints. On considère un Laplacien sur un graphe pondéré orienté avec un poids non symétrique sur les arêtes. On s’intéresse aux diffé
Externí odkaz:
http://www.theses.fr/2017NANT4023/document
Autor:
Balti, Marwa
Publikováno v:
Théorie spectrale [math.SP]. Faculté des Sciences de Bizerte (Tunisie); Université de Nantes Faculté des sciences et des techniques, 2017. Français
This thesis deals with spectral graph theory issues relating to questions of spectral theory of non self-adjoint operator. We consider a Laplacian on a directed weighted graph with non symmetric edge weights. We are interested on different spectral p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::dc540a458ed84b89d1c2c054dac35706
https://tel.archives-ouvertes.fr/tel-01531848
https://tel.archives-ouvertes.fr/tel-01531848