Ebook: Geometric Structure of Chemistry-Relevant Graphs: Zigzags and Central Circuits
- Genre: Mathematics // Graph Theory
- Tags: Graph Theory, Mathematical Applications in the Physical Sciences, Math. Applications in Chemistry
- Series: Forum for Interdisciplinary Mathematics Vol. 1
- Year: 2015
- Publisher: Springer
- Edition: 2015
- Language: English
- pdf
Discusses zigzag and central circuit structures of geometric fullerenes
Introduces the symmetries, parameterization and the Goldberg-Coxeter construction for chemistry-relevant graphs
Presents state-of-the art content on the topic
Written by respected authors and experts on the subject
Will be useful to researchers and students of discrete geometry, mathematical chemistry, and combinatorics, as well as to lay mathematicians
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.
Topics
Graph Theory
Mathematical Applications in the Physical Sciences
Math. Applications in Chemistry
Introduces the symmetries, parameterization and the Goldberg-Coxeter construction for chemistry-relevant graphs
Presents state-of-the art content on the topic
Written by respected authors and experts on the subject
Will be useful to researchers and students of discrete geometry, mathematical chemistry, and combinatorics, as well as to lay mathematicians
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.
Topics
Graph Theory
Mathematical Applications in the Physical Sciences
Math. Applications in Chemistry
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