Inequalities on the generalized atom bond connectivity index

DOI10.1007/s10910-021-01219-5zbMath1464.05050OpenAlexW3127116544MaRDI QIDQ830819

Rosalio Reyes, José M. Rodríguez, José María Sigarreta-Almira, Ricardo Abreu-Blaya

Publication date: 10 May 2021

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-021-01219-5

zbMATH Keywords

atom-bond connectivity indexdegree-based topological indicesgeneralized atom-bond connectivity index

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Planar graphs; geometric and topological aspects of graph theory (05C10) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Connectivity (05C40) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Cites Work

• An inequality for degree sequences
• CMMSE -- on the first general Zagreb index
• Solution to a conjecture on the maximum ABC index of graphs with given chromatic number
• Extremal graphs with respect to generalized ABC index
• Augmented Zagreb index
• On the Arithmetic and Geometric Means and on Holder's Inequality
• Some better bounds on the variance with applications
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