Sampling the eigenvalues of a graph

BAŞKAYA E., Boumenir A.

SAMPLING THEORY SIGNAL PROCESSING AND DATA ANALYSIS, cilt.21, sa.1, 2023 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s43670-023-00052-y
  • Dergi Adı: SAMPLING THEORY SIGNAL PROCESSING AND DATA ANALYSIS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Anahtar Kelimeler: Computational spectral theory, Sampling theory, Sturm–Liouville on graphs
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

We are concerned with the computational aspects of eigenvalues of a simple graph made of Sturm-Liouville operators on its edges. We show how the sampling method not only helps to compute effectively its eigenvalues and but also to locate double eigenvalues. This helps to design better graph type structures by predicting and avoiding resonance, and unwanted vibrations.