Investigating the metric and edge metric dimensions of H-naphthalenic nanotubes

Chaudhry F., Afzal D., Hussein N. M., Abbas A. A., Abbas W., Farahani M. R., ...Daha Fazla

Journal of Discrete Mathematical Sciences and Cryptography, cilt.28, sa.2, ss.475-490, 2025 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.47974/jdmsc-2247
  • Dergi Adı: Journal of Discrete Mathematical Sciences and 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.475-490
  • Anahtar Kelimeler: EMD, H-naphtalenic nanotube, MD, Metric generator
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

If the distances between two vertices in a simple connected network are different, then a vertex x resolves the pair u and v. A set S of vertices in G is referred to as a resolving set if every pair of distinct vertices in G can be identified by at least one vertex in S. The metric dimension (MD) of G is the minimum number of vertices required for a resolving set. Moreover, an edge metric generator is any subset S of vertices that can distinguish between any two distinct edges, e1 and e2, according to their respective distances. An edge metric dimension (EMD), dime (G), is an edge metric generator of the least size. This study aims to explore the metric dimension (MD) and edge metric dimension (EMD) of the H-Naphthalenic Nanotube.