Geometric Structure of Chemistry-Relevant Graphs: Zigzags and Central Circuits by Michel-marie DezaGeometric Structure of Chemistry-Relevant Graphs: Zigzags and Central Circuits by Michel-marie Deza

Geometric Structure of Chemistry-Relevant Graphs: Zigzags and Central Circuits

byMichel-marie Deza, Mathieu Dutour Sikiri, Mikhail Ivanovitch Shtogrin

Hardcover | June 10, 2015

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The central theme of the present book iszigzagsandcentral-circuitsof 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.

MICHEL-MARIEDEZA 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 an...
Title:Geometric Structure of Chemistry-Relevant Graphs: Zigzags and Central CircuitsFormat:HardcoverDimensions:211 pages, 23.5 × 15.5 × 0.03 inPublished:June 10, 2015Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:8132224485

ISBN - 13:9788132224488


Table of Contents

Chapter 1. Introduction: main ZC-notions.-Chapter 2. Zigzags of fullerenes and c-disk-fullerenes.-Chapter 3. Zigzags and railroads of spheres 3_v and 4_v.-Chapter 4. ZC-circuits of 4-regular and self-dual {2,3,4}-spheres.-Chapter 5. ZC-circuits of 5- and 6-regular spheres.-Chapter 6. Goldberg-Coxeter construction and parametrization.-Chapter 7. ZC-circuits of Goldberg-Coxeter construction.-Chapter 8. Zigzags of polytopes and complexes.