Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 155
Analysis on weighted simplicial complexes
Khalid Hatim, Azeddine Baalal
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 21, 2022
March 03, 2142
April 15, 2142

Abstract: In this communication, we construct a new framework that's we call the weighted 3-simplicial complex. On this new weighted framework, we construct the 0-cochains Laplacian, the 1-cochains Laplacian, the 2-cochains Laplacian, the 3-cochains Laplacian and the cochains Laplacian. We introduce the χ-completeness of a weighted 3-simplicial complex and we use it to ensure essential self-adjointness for our new five weighted 3-simplicial complex Laplacians.