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The spectral radius of the adjacency matrix of benzenoid hydrocarbon

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Abstract

The variational treatment of the spectral radius of the adjacency matrix, based on the Rayleigh's quotient and the steepest descent method is presented. The resulting formula, valid for the benzenoid hydrocarbons, gives accurate values for benzene and the linearly condensed benzenoid system of infinite length.

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References

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  1. J. Cioslowski

    Present address: Department of Chemistry, Georgetown University, 20057, Washington, DC, USA

Authors and Affiliations

  1. Department of Theoretical Chemistry, Jagiellonian University, 30060, Cracow, Poland

    J. Cioslowski

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  1. J. Cioslowski
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Cioslowski, J. The spectral radius of the adjacency matrix of benzenoid hydrocarbon. Theoret. Chim. Acta 70, 443–445 (1986). https://doi.org/10.1007/BF00531925

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  • DOI: https://doi.org/10.1007/BF00531925

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