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

• Main Authors: Deza, Michel-Marie (Author), Sikirić, Mathieu Dutour (Author), Shtogrin, Mikhail Ivanovitch (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New Delhi : Springer India : Imprint: Springer, 2015.
• Series: Forum for Interdisciplinary Mathematics, 1
• Subjects: Mathematics.; Chemometrics.; Mathematical physics.; Graph theory.; Graph Theory.; Mathematical Applications in the Physical Sciences.; Math. Applications in Chemistry.

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...

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.