A note on the first Zagreb index and coindex of graphs

DOI10.22049/cco.2020.26809.1144zbMath1488.05111OpenAlexW3163187585MaRDI QIDQ4957536

Marjan M. Matejić, Igor Ž. Milovanović, Rana Khoeilar, Emina I. Milovanović

Publication date: 9 September 2021

Full work available at URL: https://doi.org/10.22049/cco.2020.26809.1144

zbMATH Keywords

topological indicesfirst Zagreb indexfirst Zagreb coindex

Mathematics Subject Classification ID

Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Vertex degrees (05C07) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Related Items (12)

On the Zagreb matrix and Zagreb energy ⋮ Modified hyper-Wiener index of trees ⋮ Sharp inequalities for the atom-bond (sum) connectivity index ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the Zagreb indices of graphs with given Roman domination number ⋮ General reduced second Zagreb index of graph operations ⋮ Zagreb energy of some classes of graphs ⋮ Extremum sum-connectivity index of trees and unicyclic graphs

Uses Software

• GRAFFITI

Cites Work

• The Zagreb coindices of graph operations
• The best lower bound depended on two fixed variables for Jensen's inequality with ordered variables
• Maximizing the sum of the squares of the degrees of a graph
• Vertex-weighted Wiener polynomials for composite graphs
• An Upper Bound on the First Zagreb Index in Trees
• Relations between ordinary and multiplicative degree-based topological indices
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