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  • Book
  • © 2011

The Mathematics and Topology of Fullerenes

  • Contains a detailed atlas of Kekule structures of Buckminsterfullerene
  • Presents experimental and theoretical contributions
  • Foreword by Harry Kroto, Nobel Laureate

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

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiv
  2. Omega Polynomials of Fullerenes and Nanotubes

    • Ali Reza Ashrafi, Modjtaba Ghorbani, Mircea V. Diudea, Ante Graovac
    Pages 1-19
  3. C60 Structural Relatives – An Omega-Aided Topological Study

    • Aniela E. Vizitiu, Mircea V. Diudea
    Pages 39-60
  4. Local Combinatorial Characterization of Fullerenes

    • Tamás Réti, István László, Ante Graovac
    Pages 61-83
  5. 4-Regular and Self-Dual Analogs of Fullerenes

    • Mathieu Dutour Sikirić, Michel Deza
    Pages 103-116
  6. Detailed Atlas of Kekulé Structures of the Buckminsterfullerene

    • Damir Vukičević, Milan Randić
    Pages 153-169
  7. A Graph Theoretic Approach to Atomic Displacements in Fullerenes

    • Ernesto Estrada, Naomichi Hatano, Adelio R. Matamala
    Pages 171-185
  8. Counting Spanning Trees in Toroidal Fullerenes

    • E.C. Kirby, R.B. Mallion, P. Pollak
    Pages 187-204
  9. Topological Determination of 13C–NMR Spectra of C66 Fullerenes

    • Ottorino Ori, Franco Cataldo, Damir Vukičević, Ante Graovac
    Pages 205-216
  10. The Topological Background of Schwarzite Physics

    • Giorgio Benedek, Marco Bernasconi, Eugenio Cinquanta, Luca D’Alessio, Marzio De Corato
    Pages 217-247
  11. The Estrada Index and Fullerene Isomerism

    • Patrick W. Fowler, Ante Graovac
    Pages 265-280
  12. Back Matter

    Pages 281-289

About this book

The 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 are: 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.

The Mathematics and Topology of Fullerenes is targeted at advanced graduates and researchers working in carbon materials, chemistry and physics.

Editors and Affiliations

  • , Dept. of Materials Science, Tor Vergata University, Rome, Italy

    Franco Cataldo

  • Faculty of Science, University of Split, Split, Croatia

    Ante Graovac

  • Actinium Chemical Research, Rome, Italy

    Ottorino Ori

About the editors

  • Prof. Franco CATALDO (Tor Vergata University, Rome), Editor of Springer book series on Carbon Materials: Chemistry and Physics
  • Prof. Ante GRAOVAC (Faculty of Science, University of Split, Split, Croatia)
  • Dr. Ottorino ORI (Correspondent Member, Actinium Chemical Research, Rome, Italy)

Bibliographic Information

Buy it now

Buying options

eBook USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access