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100   $a20150526d2015      u|             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aGeometric Structure of Chemistry-Relevant Graphs$b[electronic resource] $eZigzags and Central Circuits /$fby Michel-Marie Deza, Mathieu Dutour Sikiri?, Mikhail Ivanovitch Shtogrin
205   $a1st ed. 2015.
210  1$aNew Delhi :$cSpringer India :$cImprint: Springer,$d2015.
215   $a1 online resource (220 p.)
225 1 $aForum for Interdisciplinary Mathematics,$x2364-6748 ;$v1
300   $aDescription based upon print version of record.
311   $a81-322-2448-5 
320   $aIncludes bibliographical referencesa and index.
327   $aChapter 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.
330   $aThe central theme of the present book is zigzags and central-circuits of three- or four-regular plane graphs, which allow a double covering or covering of the edgeset to be obtained. The book presents zigzag and central circuit structures of geometric fullerenes and several other classes of graph of interest in the fields of chemistry and mathematics. It also discusses the symmetries, parameterization and the Goldberg?Coxeter construction for those graphs. It is the first book on this subject, presenting full structure theory of such graphs. While many previous publications only addressed particular questions about selected graphs, this book is based on numerous computations and presents extensive data (tables and figures), as well as algorithmic and computational information. It will be of interest to researchers and students of discrete geometry, mathematical chemistry and combinatorics, as well as to lay mathematicians.
410  0$aForum for Interdisciplinary Mathematics,$x2364-6748 ;$v1
606   $aGraph theory
606   $aMathematical physics
606   $aChemometrics
606   $aGraph Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M29020
606   $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120
606   $aMath. Applications in Chemistry$3https://scigraph.springernature.com/ontologies/product-market-codes/C17004
615  0$aGraph theory.
615  0$aMathematical physics.
615  0$aChemometrics.
615 14$aGraph Theory.
615 24$aMathematical Applications in the Physical Sciences.
615 24$aMath. Applications in Chemistry.
676   $a540.15118
700   $aDeza$b Michel-Marie$4aut$4http://id.loc.gov/vocabulary/relators/aut$0104076
702   $aSikiri?$b Mathieu Dutour$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aShtogrin$b Mikhail Ivanovitch$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299774003321
996   $aGeometric Structure of Chemistry-Relevant Graphs$92544375
997   $aUNINA