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Distance, Symmetry, and Topology in Carbon Nanomaterials pp 103–132Cite as

Cluj Polynomial in Nanostructures

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Part of the book series: Carbon Materials: Chemistry and Physics ((CMCP,volume 9))

Abstract

Cluj polynomial, developed in 2009–2010 in Cluj, Romania, counts the vertex proximities in a connected graph. Definitions and relations with other polynomials and topological indices are given. Within this chapter, Cluj and related polynomials are computed in several 3D nanostructures and crystal networks and analytical formulas as well as examples are given.

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Author information

Authors and Affiliations

  1. Department of Chemistry, Faculty of Chemistry and Chemical Engineering, Babes-Bolyai University, Arany Janos Street 11, Cluj-Napoca, RO-400028, Romania

    Mircea V. Diudea

  2. Department of Pure Mathematics, University of Kashan, Kashan, 87317-53153, Iran

    Mahboubeh Saheli

Authors
  1. Mircea V. Diudea
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  2. Mahboubeh Saheli
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Correspondence to Mircea V. Diudea .

Editor information

Editors and Affiliations

  1. Department of Nanocomputing, Institute of Nanoscience and Nanotechnology, University of Kashan, Kashan, Iran

    Ali Reza Ashrafi

  2. Department of Chemistry, Faculty of Chemistry and Chemical Engineering, Babes-Bolyai University, Cluj-Napoca, Romania

    Mircea V. Diudea

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Diudea, M.V., Saheli, M. (2016). Cluj Polynomial in Nanostructures. In: Ashrafi, A., Diudea, M. (eds) Distance, Symmetry, and Topology in Carbon Nanomaterials. Carbon Materials: Chemistry and Physics, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-319-31584-3_8

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