arXiv Open Access 2018

The discrete Laplacian of a 2-simplicial complex

Yassin Chebbi

Lihat Sumber

Abstrak

In this paper, we introduce the notion of oriented faces especially triangles in a connected oriented locally finite graph. This framework then permits to define the Laplace operator on this structure of the 2-simplicial complex. We develop the notion of $χ$-completeness for the graphs, based on the cutoff functions. Moreover, we study essential self-adjointness of the discrete Laplacian from the $χ$-completeness geometric hypothesis.

Topik & Kata Kunci

math.SP math.FA

Penulis (1)

Yassin Chebbi

Format Sitasi

APA MLA BibTeX

Chebbi, Y. (2018). The discrete Laplacian of a 2-simplicial complex. https://arxiv.org/abs/1802.08422

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓