








1. 
Record Nr. 
UNINA9910299774003321 


Autore 
Deza MichelMarie 


Titolo 
Geometric Structure of ChemistryRelevant Graphs [[electronic resource] ] : Zigzags and Central Circuits / / by MichelMarie Deza, Mathieu Dutour Sikirić, Mikhail Ivanovitch Shtogrin 







Pubbl/distr/stampa 


New Delhi : , : Springer India : , : Imprint : Springer, , 2015 







ISBN 






Edizione 
[1st ed. 2015.] 





Descrizione fisica 

1 online resource (220 p.) 






Collana 

Forum for Interdisciplinary Mathematics, , 23646748 ; ; 1 






Disciplina 






Soggetti 

Graph theory 
Mathematical physics 
Chemometrics 
Graph Theory 
Mathematical Applications in the Physical Sciences 
Math. Applications in Chemistry 








Lingua di pubblicazione 






Formato 
Materiale a stampa 





Livello bibliografico 
Monografia 





Note generali 

Description based upon print version of record. 






Nota di bibliografia 

Includes bibliographical referencesa and index. 






Nota di contenuto 

Chapter 1. Introduction: main ZCnotions  Chapter 2. Zigzags of fullerenes and cdiskfullerenes  Chapter 3. Zigzags and railroads of spheres 3_v and 4_v  Chapter 4. ZCcircuits of 4regular and selfdual {2,3,4}spheres  Chapter 5. ZCcircuits of 5 and 6regular spheres  Chapter 6. Goldberg–Coxeter construction and parametrization  Chapter 7. ZCcircuits of Goldberg–Coxeter construction  Chapter 8. Zigzags of polytopes and complexes. 








Sommario/riassunto 

The central theme of the present book is zigzags and centralcircuits of three or fourregular 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. 





 