Energy of Prime Ideal Graph of a Commutative Ring and Its Statistical Views


Romdhini M. U., Al-Sharqi F., Nawawi A., Purnamasari N. A., Cancan M.

Thai Journal of Mathematics, cilt.24, sa.1, ss.17-26, 2026 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 1
  • Basım Tarihi: 2026
  • Dergi Adı: Thai Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.17-26
  • Anahtar Kelimeler: commutative ring, energy of a graph, prime ideal graph
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The main aim of this paper is to prove the new energy formula of the prime ideal graph of a commutative ring associated with the adjacency, first, and second Zagreb matrices. The results show that the obtained energies are never an odd integer. Moreover, it is found that the obtained energies are twice the spectral radius.