Geometric Structure of Chemistry-Relevant Graphs

Zigzags and Central Circuits

  • Michel-Marie Deza
  • Mathieu Dutour Sikirić
  • Mikhail Ivanovitch Shtogrin

Part of the Forum for Interdisciplinary Mathematics book series (FFIM, volume 1)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Michel-Marie Deza, Mathieu Dutour Sikirić, Mikhail Ivanovitch Shtogrin
    Pages 1-23
  3. Michel-Marie Deza, Mathieu Dutour Sikirić, Mikhail Ivanovitch Shtogrin
    Pages 25-56
  4. Michel-Marie Deza, Mathieu Dutour Sikirić, Mikhail Ivanovitch Shtogrin
    Pages 57-72
  5. Michel-Marie Deza, Mathieu Dutour Sikirić, Mikhail Ivanovitch Shtogrin
    Pages 73-98
  6. Michel-Marie Deza, Mathieu Dutour Sikirić, Mikhail Ivanovitch Shtogrin
    Pages 99-129
  7. Michel-Marie Deza, Mathieu Dutour Sikirić, Mikhail Ivanovitch Shtogrin
    Pages 131-150
  8. Michel-Marie Deza, Mathieu Dutour Sikirić, Mikhail Ivanovitch Shtogrin
    Pages 151-190
  9. Michel-Marie Deza, Mathieu Dutour Sikirić, Mikhail Ivanovitch Shtogrin
    Pages 191-208
  10. Back Matter
    Pages 209-211

About this book

Introduction

The central theme of the present book is zigzags and central-circuits of three- or four-regular plane graphs, which allow a double covering or covering of the edgeset to be obtained. The book presents zigzag and central circuit structures of geometric fullerenes and several other classes of graph of interest in the fields of chemistry and mathematics. It also discusses the symmetries, parameterization and the Goldberg–Coxeter construction for those graphs.

It is the first book on this subject, presenting full structure theory of such graphs. While many previous publications only addressed particular questions about selected graphs, this book is based on numerous computations and presents extensive data (tables and figures), as well as algorithmic and computational information. It will be of interest to researchers and students of discrete geometry, mathematical chemistry and combinatorics, as well as to lay mathematicians.

Keywords

Chemical graphs Geometry of graphs Graph theory Hedrites Polytopes Zigzag vectors

Authors and affiliations

  • Michel-Marie Deza
    • 1
  • Mathieu Dutour Sikirić
    • 2
  • Mikhail Ivanovitch Shtogrin
    • 3
  1. 1.École Normale Supérieure, Paris and University of CampinasCampinasBrazil
  2. 2.Institute Rudjer BoúskovićZagreb, HrvatskaCroatia
  3. 3.Russian Academy of SciencesSteklov Mathematical InstituteMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-81-322-2449-5
  • Copyright Information Springer India 2015
  • Publisher Name Springer, New Delhi
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-81-322-2448-8
  • Online ISBN 978-81-322-2449-5
  • Series Print ISSN 2364-6748
  • Series Online ISSN 2364-6756
  • About this book