On edge irregularity strength of certain families of snake graph

Nadeem M. F., Cancan M., Imran M., Ali Y.

Journal of Prime Research in Mathematics, cilt.19, sa.1, ss.92-101, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 1
  • Basım Tarihi: 2023
  • Dergi Adı: Journal of Prime Research in Mathematics
  • Derginin Tarandığı İndeksler: Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.92-101
  • Anahtar Kelimeler: Edge irregularity strength, irregular assignment, irregularity strength, pendant edge, snake graphs
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Edge irregular mapping or vertex mapping β: V (U)→ {1, 2, 3,…, s} is a mapping of vertices in such a way that all edges have distinct weights. We evaluate weight of any edge by using equation wtβ(cd) =β(c)+β(d), ∀c, d ∈ V (U) and cd ∈ E(U). Edge irregularity strength denoted by es(U) is a minimum positive integer used to label vertices to form edge irregular labeling. The aim of this paper is to determine the exact value of edge irregularity strength of different families of snake graph.