The Energy of Cameron-Walker Graphs

ÜLKER A., Oner T., Iampan A., Ordin B.

European Journal of Pure and Applied Mathematics, cilt.18, sa.3, 2025 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 3
  • Basım Tarihi: 2025
  • Doi Numarası: 10.29020/nybg.ejpam.v18i3.6549
  • Dergi Adı: European Journal of Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Anahtar Kelimeler: Cameron-Walker graph, graph energy, lower bound, matching number
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

The Cameron-Walker graphs are the graphs for which their matching number equals their induced matching number. In this paper, we study lower bounds for the graph energy in terms of induced matching numbers for the general graphs with equal matching and induced matching number. Moreover, we study the lower bounds of the graph energy of Cameron-Walker graphs.