Lower bounds for the geometric-arithmetic index of graphs with pendant and fully connected vertices

DOI10.1016/j.dam.2018.10.024zbMath1406.05022OpenAlexW2902429518WikidataQ128855661 ScholiaQ128855661MaRDI QIDQ1730220

Anna Torriero, José Luis Palacios, Monica Bianchi, Alessandra Cornaro

Publication date: 11 March 2019

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2018.10.024

zbMATH Keywords

topological indexmajorization

Mathematics Subject Classification ID

Applications of graph theory (05C90) Planar graphs; geometric and topological aspects of graph theory (05C10) Connectivity (05C40)

Related Items (5)

Sharp bounds on the arithmetic-geometric index of graphs and line graphs ⋮ Unnamed Item ⋮ Arithmetic-geometric index and its relations with geometric-arithmetic index ⋮ On the extremal geometric-arithmetic graphs with fixed number of vertices having minimum degree ⋮ The geometric-arithmetic index of trees with a given total domination number

Cites Work

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• Extremal graphs for the geometric-arithmetic index with given minimum degree
• On geometric-arithmetic index
• Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges
• Bounds for the global cyclicity index of a general network via weighted majorization
• A majorization method for localizing graph topological indices
• On a new cyclicity measure of graphs -- the global cyclicity index
• Majorization under constraints and bounds on the second Zagreb index
• New inequalities involving the Geometric-Arithmetic index
• New lower bounds for the Geometric-Arithmetic index
• More on comparison between first geometric-arithmetic index and atom-bond connectivity index
• Inequalities: theory of majorization and its applications
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