A new family of chromatically unique 6-bridge graph.

• Karim, N. S. A. ^[1] ; Hasni, R. ^[2]
  1. [1] Sultan Idris Education University

     Sultan Idris Education University

     Malasia

     
  2. [2] University Malaysia Terengganu.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 37, Nº. 2, 2018, págs. 239-263
• Idioma: inglés
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• Resumen

  • For a graph G, let P(G, λ) denote the chromatic polynomial of G. Two graphs G and H are chromatically equivalent (or simply χ−equivalent), denoted by G ∼ H, if P(G, λ) = P(H, λ). A graph G is chromatically unique (or simply χ−unique) if for any graph H such as H ∼ G, we have H ∼ = G, i.e, H is isomorphic to G. In this paper, the chromatic uniqueness of a new family of 6-bridge graph θ(a, a, b, b, b, c) where 2 ≤ a ≤ b ≤ c, is investigated.