On the reduced second Zagreb index of graphs

DOI10.1216/rmj.2020.50.975zbMath1445.05030OpenAlexW3046030129MaRDI QIDQ2192251

Kexiang Xu, Fang Gao

Publication date: 14 August 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1595988032

zbMATH Keywords

connectivitymatching numberextremal graphreduced second Zagreb index

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Connectivity (05C40) Vertex degrees (05C07) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Related Items (10)

Extremal symmetric division deg index of molecular trees and molecular graphs with fixed number of pendant vertices ⋮ Lower bounds on the general first Zagreb index of graphs with low cyclomatic number ⋮ Comparison between Merrifield-Simmons index and some vertex-degree-based topological indices ⋮ Unnamed Item ⋮ Sombor index of chemical graphs ⋮ The minimal augmented Zagreb index of \(k\)-apex trees for \(k\in\{1,2,3\}\) ⋮ On the extremal sombor index of trees with a given diameter ⋮ On the maximum sigma index of \(k\)-cyclic graphs ⋮ Total i̇rregulari̇ty of fractal graphs ⋮ Upper bounds for the reduced second zagreb index of graphs

Cites Work

• Some extremal graphs with respect to inverse degree
• Complete characterization of graphs for direct comparing Zagreb indices
• On the general sum-connectivity index of connected unicyclic graphs with \(k\) pendant vertices
• The Zagreb coindices of graph operations
• On difference of Zagreb indices
• Zagreb, Harary and hyper-Wiener indices of graphs with a given matching number
• Graphs with maximal \(\sigma\) irregularity
• Maximizing the sum of the squares of the degrees of a graph
• Augmented Zagreb index
• A forgotten topological index
• The Zagreb indices of graphs with a given clique number
• SOME RESULTS ON THE DIFFERENCE OF THE ZAGREB INDICES OF A GRAPH
• On the general sum-connectivity index of connected graphs with given order and girth
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