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Forum for Interdisciplinary Mathematics

Geometric Structure of Chemistry-Relevant Graphs

Zigzags and Central Circuits

Authors: Deza, Michel-Marie, Dutour Sikiric, Mathieu, Shtogrin, Mikhail Ivanovitch

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  • Discusses zigzag and central circuit structures of geometric fullerenes
  • Introduces the symmetries, parameterization and the Goldberg–Coxeter construction for chemistry-relevant graphs
  • Presents state-of-the art content on the topic
  • Written by respected authors and experts on the subject
  • Will be useful to researchers and students of discrete geometry, mathematical chemistry, and combinatorics, as well as to lay mathematicians
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eBook $69.99
price for USA in USD (gross)
  • ISBN 978-81-322-2449-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-81-322-2448-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA in USD
  • ISBN 978-81-322-3419-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

About the authors

MICHEL-MARIE DEZA is former research director at the French National Research Centre and Ecole Normale Supérieure, Paris. Earlier, he was research professor at the Japan Advanced Institute of Science and Technology. He is author of about 300 research publications on discrete geometry, combinatorics and their applications to chemistry and crystallography. He is also author of 7 books on mathematics, including popular Geometry of Cuts and Metrics and Encyclopedia of Distances, both published by Springer.

MATHIEU DUTOUR SIKIRIĆ a senior associate researcher of Institute Rudjer Boskovic in Zagreb, Croatia. He is author of 70 articles and 2 books in the fields of science and engineering: mathematics, computer science, physics, chemistry, crystallography, oceanography and meteorology. His mathematical work concerns graph theory, polytope theory, tiling and their applications, geometry of numbers, and computational topology.

MIKHAIL IVANOVICH SHTOGRIN is a leading research associate of Steklov Institute of Mathematics in the Russian Academy of Sciences, Moscow, Russia. He is author of over 120 research publications and 2 books on discrete geometry and geometric crystallography.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $69.99
price for USA in USD (gross)
  • ISBN 978-81-322-2449-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-81-322-2448-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA in USD
  • ISBN 978-81-322-3419-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Structure of Chemistry-Relevant Graphs
Book Subtitle
Zigzags and Central Circuits
Authors
Series Title
Forum for Interdisciplinary Mathematics
Series Volume
1
Copyright
2015
Publisher
Springer India
Copyright Holder
Springer India
eBook ISBN
978-81-322-2449-5
DOI
10.1007/978-81-322-2449-5
Hardcover ISBN
978-81-322-2448-8
Softcover ISBN
978-81-322-3419-7
Series ISSN
2364-6748
Edition Number
1
Number of Pages
XI, 211
Number of Illustrations
160 b/w illustrations, 1 illustrations in colour
Topics