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A combination of Clar number and Kekulé count as an indicator of relative stability of fullerene isomers of \(\text C_{60}\)

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Publication:609604
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DOI10.1007/s10910-010-9706-2zbMath1220.92063OpenAlexW2049568114MaRDI QIDQ609604

Heping Zhang, Dong Ye, Yunrui Liu

Publication date: 1 December 2010

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

Full work available at URL: https://doi.org/10.1007/s10910-010-9706-2


zbMATH Keywords

stabilityClar numberKekulé structure


Mathematics Subject Classification ID

Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)


Related Items

Sharp upper bounds on the Clar number of fullerene graphs ⋮ The complexity of the Clar number problem and an exact algorithm ⋮ Fullerenes with the maximum Clar number ⋮ Clar structures vs Fries structures in hexagonal systems ⋮ Clar structure and fries set of fullerenes and \((4,6)\)-fullerenes on surfaces ⋮ Packing resonant hexagons in fullerenes


Uses Software

  • GRAFFITI


Cites Work

  • Unimodularity of the Clar number problem
  • Extremal fullerene graphs with the maximum Clar number
  • An upper bound for the Clar number of fullerene graphs
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