Unicyclic and bicyclic graphs with minimal augmented Zagreb index

DOI10.1186/s13660-015-0651-2zbMath1309.05106OpenAlexW2139798975WikidataQ59435437 ScholiaQ59435437MaRDI QIDQ2340984

Fuqin Zhan, Youfu Qiao, Jun-Liang Cai

Publication date: 21 April 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0651-2

zbMATH Keywords

extremal graphsunicyclic graphsbicyclic graphsaugmented Zagreb index

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Structural characterization of families of graphs (05C75) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (12)

Extremal values of the Sombor index in unicyclic and bicyclic graphs ⋮ Extremal Unicyclic Graphs with Respect to Vertex-Degree-Based Topological Indices ⋮ Minimum augmented Zagreb index of \(c\)-cyclic graphs ⋮ Maximal augmented Zagreb index of trees with given diameter ⋮ The \(k\)-apex trees with minimum augmented Zagreb index ⋮ Bounds on \(F\)-index of tricyclic graphs with fixed pendant vertices ⋮ The augmented Zagreb indices of fluoranthene-type benzenoid systems ⋮ Extremal values on Zagreb indices of trees with given distance \(k\)-domination number ⋮ The minimal augmented Zagreb index of \(k\)-apex trees for \(k\in\{1,2,3\}\) ⋮ Unnamed Item ⋮ Augmented Zagreb index of trees and unicyclic graphs with perfect matchings ⋮ Unnamed Item

Cites Work

• On atom-bond connectivity index of connected graphs
• Further inequalities between vertex-degree-based topological indices
• Augmented Zagreb index
• On the Augmented Zagreb Index
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