Academic Journal
A Distributed Algorithm for the Assignment of the Laplacian Spectrum for Path Graphs
| العنوان: | A Distributed Algorithm for the Assignment of the Laplacian Spectrum for Path Graphs |
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| المؤلفون: | Parlangeli G. |
| المساهمون: | Parlangeli, G. |
| سنة النشر: | 2023 |
| المجموعة: | Università del Salento: CINECA IRIS |
| مصطلحات موضوعية: | inverse eigenvalue problems, Laplacian eigenvalues, path graphs |
| الوصف: | In this paper, we bring forward a distributed algorithm for the assignment of a prescribed Laplacian spectrum for path graphs by means of asymmetric weight assignment. We first describe the meaningfulness and the relevance of this mathematical setting in modern technological applications, and some examples are reported, revealing its practical usefulness in a variety of applications. Then, the solution is derived both theoretically and through an algorithm. Special attention is devoted to a distributed implementation of the main algorithm, which is a valuable feature for several modern applications. Finally, the positivity is discussed, which is revealed to be a consequence of the strict interlacing property. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | ELETTRONICO |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:000996923800001; volume:11; firstpage:1; lastpage:12; numberofpages:12; journal:MATHEMATICS; https://hdl.handle.net/11587/518287; https://doi.org/10.3390/math11102359 |
| DOI: | 10.3390/math11102359 |
| الاتاحة: | https://hdl.handle.net/11587/518287 https://doi.org/10.3390/math11102359 |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.EC4C91A5 |
| قاعدة البيانات: | BASE |
| DOI: | 10.3390/math11102359 |
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