Geodetic Domination Integrity of Thorny Graphs


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Onur Ş., Turan G. B.

Journal of New Theory, sa.46, ss.99-109, 2024 (Hakemli Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: Sayı: 46
  • Basım Tarihi: 2024
  • Doi Numarası: 10.53570/jnt.1442636
  • Dergi Adı: Journal of New Theory
  • Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.99-109
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

The concept of geodetic domination integrity is a crucial parameter when examining the potential damage to a network. It has been observed that the removal of a geodetic set from the network can increase its vulnerability. This study explores the geodetic domination integrity parameter and presents general results on the geodetic domination integrity values of thorn ring graphs, $n$-sunlet graphs, thorn path graphs, thorn rod graphs, thorn star graphs, helm graphs, $E_p^t$ tree graphs, dendrimer graphs, spider graphs, and bispider graphs, which are the frequently used graph classes in the literature.