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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Geometric Structure of Chemistry-Relevant Graphs/ by Michel-Marie Deza, Mathieu Dutour Sikirić, Mikhail Ivanovitch Shtogrin.
Reminder of title:	Zigzags and Central Circuits /
Author:	Deza, Michel-Marie.
other author:	Sikirić, Mathieu Dutour.
Description:	XI, 211 p. 161 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Graph theory. -
Online resource:	https://doi.org/10.1007/978-81-322-2449-5
ISBN:	9788132224495

Geometric Structure of Chemistry-Relevant Graphs = Zigzags and Central Circuits /
Deza, Michel-Marie.

Geometric Structure of Chemistry-Relevant GraphsZigzags and Central Circuits /[electronic resource] :by Michel-Marie Deza, Mathieu Dutour Sikirić, Mikhail Ivanovitch Shtogrin. - 1st ed. 2015. - XI, 211 p. 161 illus., 1 illus. in color.online resource. - Forum for Interdisciplinary Mathematics,12364-6748 ;. - Forum for Interdisciplinary Mathematics,2.

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.

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.

ISBN: 9788132224495

Standard No.: 10.1007/978-81-322-2449-5doiSubjects--Topical Terms:

527884
Graph theory.

LC Class. No.: QA166-166.247

Dewey Class. No.: 511.5

Geometric Structure of Chemistry-Relevant Graphs = Zigzags and Central Circuits /
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520 $a 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.
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