TY  - BOOK
AU  - Deza,Michel-Marie
AU  - Sikirić,Mathieu Dutour
AU  - Shtogrin,Mikhail Ivanovitch
ED  - SpringerLink (Online service)
TI  - Geometric Structure of Chemistry-Relevant Graphs: Zigzags and Central Circuits 
T2  - Forum for Interdisciplinary Mathematics,
SN  - 9788132224495
AV  - QA166-166.247 
U1  - 511.5 23
PY  - 2015///
CY  - New Delhi
PB  - Springer India, Imprint: Springer
KW  - mathematics
KW  - Chemometrics
KW  - Mathematical physics
KW  - Graph Theory
KW  - Mathematics
KW  - Mathematical Applications in the Physical Sciences
KW  - Math. Applications in Chemistry
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-81-322-2449-5
ER  -