Pseudo-resolvent energy of weighted graphs

Shukur A. A., CANGÜL İ. N.

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, sa.6, ss.1831-1837, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.47974/jdmsc-1824
  • Dergi Adı: JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1831-1837
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Let G be a finite order graph. Its resolvent matrix and its resolvent energy are respectively given by R xi ( A ( G )) = (A(G) - xi I)-1 -1 and ER ( G ) = Sigma n n i = 1 (n - lambda i)-1. i ) -1 . For some classes of weighted graphs, we know that lambda 1 1 = n which means that the formula for ER ( G ) is not applicable. In this work, the pseudo-resolvent energy for those classes of graphs are obtained where lambda 1 1 = n.