Weighted spectra on a weighted geometric realization of 2-simplexes and 3-simplexes

DOI10.1142/s1793830922501300zbMath1519.05263OpenAlexW4291014514WikidataQ114071632 ScholiaQ114071632MaRDI QIDQ6174760

Azeddine Baalal, Khalid Hatim

Publication date: 15 July 2023

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793830922501300

zbMATH Keywords

spectrumWeyl's criterionweighted geometric realizationLaplacian associated to 2-simplexesLaplacian associated to 3-simplexes

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Simplicial sets and complexes in algebraic topology (55U10) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) Chain complexes in algebraic topology (55U15) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

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• Essential self-adjointness for combinatorial Schrödinger operators. II. Metrically non complete graphs
• Simplicial structures in topology.
• Laplacians of infinite graphs. I: Metrically complete graphs
• The Gauss-Bonnet operator of an infinite graph
• The zero-in-the-spectrum question
• A combinatorial Laplacian with vertex weights
• Critical groups of simplicial complexes
• Spectral theory for discrete Laplacians
• The essential spectrum of the Laplacian on rapidly branching tessellations
• A Survey on Spectra of infinite Graphs
• Introduction to Analysis on Graphs
• The spectrum of infinite regular line graphs
• A relative index theorem

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