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  • Book
  • © 2016

Distance, Symmetry, and Topology in Carbon Nanomaterials

  • Topical subject matter involving C60 edited by an international group of researchers
  • Includes an up to date literature review
  • Preface by Nobel Laureate Harry Kroto

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

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Table of contents (26 chapters)

  1. Front Matter

    Pages i-xiv
  2. Molecular Dynamics Simulation of Carbon Nanostructures: The Nanotubes

    • István László, Ibolya Zsoldos
    Pages 1-12
  3. Omega Polynomial in Nanostructures

    • Mircea V. Diudea, Beata Szefler
    Pages 13-31
  4. An Algebraic Modification of Wiener and Hyper–Wiener Indices and Their Calculations for Fullerenes

    • Fatemeh Koorepazan-Moftakhar, Ali Reza Ashrafi, Ottorino Ori, Mihai V. Putz
    Pages 33-50
  5. Distance Under Symmetry: (3,6)-Fullerenes

    • Ali Reza Ashrafi, Fatemeh Koorepazan − Moftakhar, Mircea V. Diudea
    Pages 51-60
  6. Topological Symmetry of Multi-shell Clusters

    • Mircea V. Diudea, Atena Parvan-Moldovan, Fatemeh Koorepazan-Moftakhar, Ali Reza Ashrafi
    Pages 61-82
  7. Further Results on Two Families of Nanostructures

    • Zahra Yarahmadi, Mircea V. Diudea
    Pages 83-93
  8. Augmented Eccentric Connectivity Index of Grid Graphs

    • Tomislav DoÅ¡lić, Mojgan Mogharrab
    Pages 95-102
  9. Cluj Polynomial in Nanostructures

    • Mircea V. Diudea, Mahboubeh Saheli
    Pages 103-132
  10. Graphene Derivatives: Carbon Nanocones and CorSu Lattice: A Topological Approach

    • Farzaneh Gholaminezhad, Mircea V. Diudea
    Pages 133-146
  11. Hosoya Index of Splices, Bridges, and Necklaces

    • Tomislav DoÅ¡lić, Reza Sharafdini
    Pages 147-156
  12. The Spectral Moments of a Fullerene Graph and Their Applications

    • G. H. Fath-Tabar, F. Taghvaee, M. Javarsineh, A. Graovac
    Pages 157-166
  13. Geometrical and Topological Dimensions of the Diamond

    • G. V. Zhizhin, Z. Khalaj, M. V. Diudea
    Pages 167-188
  14. Mathematical Aspects of Omega Polynomial

    • Modjtaba Ghorbani, Mircea V. Diudea
    Pages 189-216
  15. Edge-Wiener Indices of Composite Graphs

    • Mahdieh Azari, Ali Iranmanesh
    Pages 217-247
  16. The Hosoya Index and the Merrifield–Simmons Index of Some Nanostructures

    • Asma Hamzeh, Ali Iranmanesh, Samaneh Hossein–Zadeh, Mohammad Ali Hosseinzadeh
    Pages 269-280
  17. Topological Indices of 3-Generalized Fullerenes

    • Z. Mehranian, A. R. Ashrafi
    Pages 281-301
  18. Nullity of Graphs

    • Modjtaba Ghorbani, Mahin Songhori
    Pages 317-343

About this book

This contributed volume is inspired by the seminal discovery and identification of C60. Starting with a comprehensive discussion featuring graphene based nanostructures, subsequent chapters include topological descriptions of matrices, polynomials and indices, and an extended analysis of the symmetry and topology of nanostructures. Carbon allotropes such as diamond and its connection to higher-dimensional spaces is explored along with important mathematical and topological considerations. Further topics covered include spontaneous symmetry breaking in graphene, polyhedral carbon structures, nanotube junction energetics, and cyclic polyines as relatives of nanotubes and fullerenes. This book is aimed at researchers active in the study of carbon materials science and technology.

Editors and Affiliations

  • Department of Nanocomputing, Institute of Nanoscience and Nanotechnology, University of Kashan, Kashan, Iran

    Ali Reza Ashrafi

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

    Mircea V. Diudea

About the editors

Prof. Dr. Mircea Vasile Diudea, is a professor at Babes-Bolyai University, Faculty of Chemistry and Chemical Engineering, Romania.

Prof. Dr. Ali Reza Ashrafi is based at the University of Kashan, Faculty of Mathematical Sciences, Kashan, Iran.




Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
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