THE BOUNDS FOR THE LARGEST EIGENVALUES OF FIBONACCI-SUM AND LUCAS-SUM GRAPHS

Tasci D., Kizilirmak G. O., Sevgi E., Buyukkose S.

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.12, sa.1, ss.367-371, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 1
  • Basım Tarihi: 2022
  • Dergi Adı: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.367-371
  • Anahtar Kelimeler: Fibonacci-sum graph, Lucas-sum graph, bounds, vertex degree
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we first get the degree of each point in Lucas-sum graph based on Lucas numbers. After that, we obtain lower and upper bounds for the largest eigenvalues lambda and mu of the adjacency matrices of Fibonacci-sum and Lucas-sum graphs, respectively.