The magnetic discrete Laplacian inferred from the Gauß–Bonnet operator and application
| Autor: | Mondher Damak, Nassim Athmouni, Marwa Ennaceur, Hatem Baloudi |
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| Rok vydání: | 2021 |
| Předmět: |
Discrete mathematics
Control and Optimization Algebra and Number Theory 010102 general mathematics Link (geometry) 01 natural sciences law.invention Finite graph Operator (computer programming) law Completeness (order theory) 0103 physical sciences Line graph Graph (abstract data type) 010307 mathematical physics Adjacency matrix 0101 mathematics Laplacian matrix Analysis Mathematics |
| Zdroj: | Annals of Functional Analysis. 12 |
| ISSN: | 2008-8752 2639-7390 |
| DOI: | 10.1007/s43034-021-00119-8 |
| Popis: | We consider the notion of $$\chi$$ -completeness of a locally finite graph and we extend this notion to the weighted magnetic graph. Moreover, we establish a link between the magnetic adjacency matrix on line graph and the magnetic discrete Laplacian on 1-forms. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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