Which tree has the smallest ABC index among trees with \(k\) leaves?

DOI10.1016/J.DAM.2015.05.008zbMath1319.05039OpenAlexW875733777MaRDI QIDQ494433

Pouria Salehi Nowbandegani, Colton Magnant, Ivan Gutman

Publication date: 1 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.dam.2015.05.008

zbMATH Keywords

ABC indexatom-bond connectivity index

Mathematics Subject Classification ID

Trees (05C05) Connectivity (05C40)

Related Items (11)

Solution to a conjecture on the maximum ABC index of graphs with given chromatic number ⋮ Maximum atom-bond connectivity index with given graph parameters ⋮ On extremality of ABC spectral radius of a tree ⋮ On structural properties of trees with minimal atom-bond connectivity index. III: Trees with pendent paths of length three ⋮ The maximum atom-bond connectivity index for graphs with edge-connectivity one ⋮ On the minimal ABC index of trees with \(k\) leaves ⋮ A note on extremal trees with degree conditions ⋮ On structural properties of ABC-minimal chemical trees ⋮ On the ABC spectra radius of unicyclic graphs ⋮ Extremal augmented Zagreb index of trees with given numbers of vertices and leaves ⋮ Atom–bond connectivity index of graphs: a review over extremal results and bounds

Cites Work

• On atom-bond connectivity index of connected graphs
• Atom-bond connectivity index of trees
• On structural properties of trees with minimal atom-bond connectivity index
• The ABC index conundrum
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