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

  • Sorana D. BolboacăEmail author
  • Lorentz Jäntschi
Part of the Carbon Materials: Chemistry and Physics book series (CMCP, volume 9)


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.


Helium Atom Polynomial Root Minimal Fragment Fragment Matrix Maximal Fragment 
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© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.University of Agricultural Science and Veterinary Medicine Cluj-NapocaCluj-NapocaRomania
  2. 2.Department of Physics and ChemistryTechnical University of Cluj-NapocaCluj-NapocaRomania
  3. 3.Institute for Doctoral StudiesBabeş-Bolyai UniversityCluj-NapocaRomania
  4. 4.University of Agricultural Science and Veterinary Medicine Cluj-NapocaCluj-NapocaRomania
  5. 5.Department of Medical Informatics and BiostatisticsIuliu Haţieganu University of Medicine and PharmacyCluj-NapocaRomania
  6. 6.Department of ChemistryUniversity of OradeaOradeaRomania

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