Formula for calculating the Wiener polarity index with applications to benzenoid graphs and phenylenes

DOI10.1007/s10910-018-0957-7zbMath1406.92787arXiv1801.05963OpenAlexW2885362904WikidataQ129159958 ScholiaQ129159958MaRDI QIDQ1714125

Niko Tratnik

Publication date: 31 January 2019

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

Full work available at URL: https://arxiv.org/abs/1801.05963

zbMATH Keywords

first Zagreb indexsecond Zagreb indexWiener polarity indexphenylenebenzenoid graph

Mathematics Subject Classification ID

Applications of graph theory (05C90) Distance in graphs (05C12) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (5)

The Tutte polynomials of catacondensed benzenoid systems ⋮ Towards the solution of an extremal problem concerning the Wiener polarity index of alkanes ⋮ On the M-polynomial of planar chemical graphs ⋮ A note on the minimum Wiener polarity index of trees with a given number of vertices and segments or branching vertices ⋮ Tutte polynomials of alternating polycyclic chains

Cites Work

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• Generalizations of Wiener polarity index and terminal Wiener index
• The maximum Wiener polarity index of unicyclic graphs
• Wiener polarity index of fullerenes and hexagonal systems
• The Nordhaus-Gaddum-type inequality for the Wiener polarity index
• On the Wiener polarity index of graphs
• The maximum Wiener polarity index of trees with \(k\) pendants
• Ordering chemical trees by Wiener polarity index
• Analyzing lattice networks through substructures
• A note on chemical trees with minimum Wiener polarity index
• Wiener polarity index of dendrimers

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