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Titlebook: Geometric Structure of Chemistry-Relevant Graphs; Zigzags and Central Michel-Marie Deza,Mathieu Dutour Sikirić,Mikhail I Book 2015 The Edi

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书目名称Geometric Structure of Chemistry-Relevant Graphs
副标题Zigzags and Central
编辑Michel-Marie Deza,Mathieu Dutour Sikirić,Mikhail I
视频video
概述Discusses zigzag and central circuit structures of geometric fullerenes.Introduces the symmetries, parameterization and the Goldberg–Coxeter construction for chemistry-relevant graphs.Presents state-o
丛书名称Forum for Interdisciplinary Mathematics
图书封面Titlebook: Geometric Structure of Chemistry-Relevant Graphs; Zigzags and Central  Michel-Marie Deza,Mathieu Dutour Sikirić,Mikhail I Book 2015 The Edi
描述.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..
出版日期Book 2015
关键词Chemical graphs; Geometry of graphs; Graph theory; Hedrites; Polytopes; Zigzag vectors
版次1
doihttps://doi.org/10.1007/978-81-322-2449-5
isbn_softcover978-81-322-3419-7
isbn_ebook978-81-322-2449-5Series ISSN 2364-6748 Series E-ISSN 2364-6756
issn_series 2364-6748
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature India Pr
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https://doi.org/10.1007/978-981-19-8057-2In this chapter, we consider parametrization and, especially, one with . complex parameter, i.e., the .. (a generalization of a simplicial subdivision of Dodecahedron considered in [.] and [.]), producing a plane graph from any .- or .-regular plane graph . for integer parameters .. See the main features of .-construction in Table ..
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https://doi.org/10.1007/978-1-349-06327-7In this chapter, .-(zigzag or central circuit) structure will be mainly described using groups. But first, Propositions . and . below treat the easiest case: .-structure of the .-inflation . of . in terms of .-structure of .; see example in Fig. ..
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