Computation of the fifth geometric-arithmetic index for polycyclic aromatic hydrocarbons pahk

• Autores: Mehdi Alaeiyan, Mohammad Reza Farahani, Muhammad Kamran Jamil
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 1, Nº. 1, 2016, págs. 283-290
• Idioma: inglés
• DOI: 10.21042/AMNS.2016.1.00023
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let GG be a simple connected graph. The geometric-arithmetic index of GG is defined as GA1(G)=∑uv∈E(G)2√d(u)d(v)d(u)+d(v)GA1(G)=∑uv∈E(G)2d(u)d(v)d(u)+d(v), where duu represents the degree of the vertex uu in the graph GG . Recently, Graovac defined the fifth version of geometric-arithmetic index of a graph GG as GA5(G)=∑uv∈E(G)2√SvSuSv+SuGA5(G)=∑uv∈E(G)2SvSuSv+Su, where Suuis the sum of degrees of all neighbors of vertex uu in the graph GG . In this paper, we compute the fifth geometric arithmetic index of Polycyclic Aromatic Hydrocarbons PAHkPAHk.