The Mathematics and Topology of Fullerenes

  • Franco Cataldo
  • Ante Graovac
  • Ottorino Ori

Part of the Carbon Materials: Chemistry and Physics book series (CMCP, volume 4)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Ali Reza Ashrafi, Modjtaba Ghorbani, Mircea V. Diudea, Ante Graovac
    Pages 1-19
  3. Aniela E. Vizitiu, Mircea V. Diudea
    Pages 39-60
  4. Tamás Réti, István László, Ante Graovac
    Pages 61-83
  5. Mathieu Dutour Sikirić, Michel Deza
    Pages 103-116
  6. Damir Vukičević, Milan Randić
    Pages 153-169
  7. Ernesto Estrada, Naomichi Hatano, Adelio R. Matamala
    Pages 171-185
  8. E.C. Kirby, R.B. Mallion, P. Pollak
    Pages 187-204
  9. Ottorino Ori, Franco Cataldo, Damir Vukičević, Ante Graovac
    Pages 205-216
  10. Giorgio Benedek, Marco Bernasconi, Eugenio Cinquanta, Luca D’Alessio, Marzio De Corato
    Pages 217-247
  11. Patrick W. Fowler, Ante Graovac
    Pages 265-280
  12. Back Matter
    Pages 281-289

About this book


Mathematics and Topology of Fullerenes presents a comprehensive overview of scientific and technical innovations in theoretical and experimental studies. Topics included in this multi-author volume include: Clar structures for conjugated nanostructures; counting polynomials of fullerenes; topological indices of fullerenes; the wiener index of nanotubes; toroidal fullerenes and nanostars;  C60 Structural relatives: a topological study; local combinatorial characterization of fullerenes; computation of selected topological indices of C60 and C80 Fullerenes via the Gap Program; 4valent- analogues of fullerenes; a  detailed atlas of Kekule structures of C60.


This multi-author volume is targeted at advanced graduates and researchers working in carbon materials, chemistry and physics.


C60 buckminsterfullerene combinatorial characterization

Editors and affiliations

  • Franco Cataldo
    • 1
  • Ante Graovac
    • 2
  • Ottorino Ori
    • 3
  1. 1., Dept. of Materials ScienceTor Vergata UniversityRomeItaly
  2. 2.Faculty of Science, University of SplitSplitCroatia
  3. 3.Actinium Chemical ResearchRomeItaly

Bibliographic information