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Counting Distance and Szeged (on Distance) Polynomials in Dodecahedron Nano-assemblies

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Distance, Symmetry, and Topology in Carbon Nanomaterials

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

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Abstract

Six dodecahedron nano-assemblies, complexes with 5-, 6-, 12-, 15-, 24-, and 25-dodecahedron units, were constructed by HyperChem software and investigated. Two polynomials, namely, the counting distance polynomial and counting Szeged (on distance) polynomial, graph invariants encoding important properties of the investigated nano-assemblies, have been calculated; the counting polynomial roots were calculated for each investigated nano-assembly. Distinct patterns of polynomial roots were obtained for each of these polynomials, with similarities among dodecahedron congeners.

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Authors and Affiliations

  1. University of Agricultural Science and Veterinary Medicine Cluj-Napoca, Calea Mănăştur no. 3-5, RO-400372, Cluj-Napoca, Romania

    Sorana D. Bolboacă

  2. Department of Physics and Chemistry, Technical University of Cluj-Napoca, Muncii Blvd. no. 103-105, RO-400641, Cluj-Napoca, Romania

    Lorentz Jäntschi

  3. Institute for Doctoral Studies, Babeş-Bolyai University, Kogălniceanu Street no. 1, RO-400084, Cluj-Napoca, Romania

    Lorentz Jäntschi

  4. University of Agricultural Science and Veterinary Medicine Cluj-Napoca, Calea Mănăştur no. 3-5, RO-400372, Cluj-Napoca, Romania

    Lorentz Jäntschi

  5. Department of Medical Informatics and Biostatistics, Iuliu Haţieganu University of Medicine and Pharmacy, 6 Louis Pasteur, 400349, Cluj-Napoca, Romania

    Sorana D. Bolboacă

  6. Department of Chemistry, University of Oradea, Universităţii Street no. 1, RO-410087, Oradea, Romania

    Lorentz Jäntschi

Authors
  1. Sorana D. Bolboacă
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  2. Lorentz Jäntschi
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Correspondence to Sorana D. Bolboacă .

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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Bolboacă, S.D., Jäntschi, L. (2016). Counting Distance and Szeged (on Distance) Polynomials in Dodecahedron Nano-assemblies. 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_21

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