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Geometric structure of chemistry-rel...
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Deza, Michel-Marie.
Geometric structure of chemistry-relevant graphszigzags and central circuits /
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Geometric structure of chemistry-relevant graphsby Michel-Marie Deza, Mathieu Dutour Sikiric, Mikhail Ivanovitch Shtogrin.
其他題名:
zigzags and central circuits /
作者:
Deza, Michel-Marie.
其他作者:
Sikiric, Mathieu Dutour.
出版者:
New Delhi :Springer India :2015.
面頁冊數:
xi, 211 p. :ill. (some col.), digital ;24 cm.
Contained By:
Springer eBooks
標題:
ChemistryGraphic methods.
電子資源:
http://dx.doi.org/10.1007/978-81-322-2449-5
ISBN:
9788132224495 (electronic bk.)
Geometric structure of chemistry-relevant graphszigzags and central circuits /
Deza, Michel-Marie.
Geometric structure of chemistry-relevant graphs
zigzags and central circuits /[electronic resource] :by Michel-Marie Deza, Mathieu Dutour Sikiric, Mikhail Ivanovitch Shtogrin. - New Delhi :Springer India :2015. - xi, 211 p. :ill. (some col.), digital ;24 cm. - Forum for interdisciplinary mathematics,v.12364-6748 ;. - Forum for interdisciplinary mathematics ;v. 1..
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 (electronic bk.)
Standard No.: 10.1007/978-81-322-2449-5doiSubjects--Topical Terms:
709161
Chemistry
--Graphic methods.
LC Class. No.: QD39.3.G73
Dewey Class. No.: 540.15
Geometric structure of chemistry-relevant graphszigzags and central circuits /
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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.
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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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