Remarks on maximum atom-bond connectivity index with given graph parameters

DOI10.1016/j.dam.2017.01.019zbMath1396.05110arXiv1610.02574OpenAlexW2590186269MaRDI QIDQ1786889

Riste Škrekovski, Darko Dimitrov, Barbara Ikica

Publication date: 25 September 2018

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

Full work available at URL: https://arxiv.org/abs/1610.02574

zbMATH Keywords

extremal graphsatom-bond connectivity indexmolecular structure descriptor

Mathematics Subject Classification ID

Applications of graph theory (05C90) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Vertex degrees (05C07)

Related Items (14)

Solution to a conjecture on the maximum ABC index of graphs with given chromatic number ⋮ The minimal-ABC trees with \(B_2\)-branches ⋮ Complete characterization of the minimal-ABC trees ⋮ Some forbidden combinations of branches in minimal-ABC trees ⋮ A Survey on Graovac–Ghorbani Index ⋮ The greatest values for atom-bond sum-connectivity index of graphs with given parameters ⋮ The ABC Index Conundrum's Complete Solution ⋮ On extremality of ABC spectral radius of a tree ⋮ Maximum external Wiener index of graphs ⋮ On structural properties of trees with minimal atom-bond connectivity index. IV: solving a conjecture about the pendent paths of length three ⋮ On the maximum ABC index of graphs without pendent vertices ⋮ A solution of the conjecture about big vertices of minimal-ABC trees ⋮ On large ABC spectral radii of unicyclic graphs ⋮ Atom–bond connectivity index of graphs: a review over extremal results and bounds

Cites Work

• On structural properties of trees with minimal atom-bond connectivity index. II: Bounds on \(B_1\)- and \(B_2\)-branches
• Efficient computation of trees with minimal atom-bond connectivity index
• Maximum atom-bond connectivity index with given graph parameters
• Some upper bounds for the atom-bond connectivity index of graphs
• Further results on atom-bond connectivity index of trees
• On atom-bond connectivity index of connected graphs
• Atom-bond connectivity index of graphs
• On structural properties of trees with minimal atom-bond connectivity index. III: Trees with pendent paths of length three
• Remarks on the Graovac-Ghorbani index of bipartite graphs
• Computer search for trees with minimal ABC index
• On structural properties of trees with minimal atom-bond connectivity index
• Mathematical aspects of Wiener index
• Mathematical aspects of fullerenes
• The ABC index conundrum
• On a family of trees with minimal atom-bond connectivity index
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