Geometric structure of chemistry-relevant graphs zigzags and central circuits

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Hauptverfasser: Deza, Michel 1939- (VerfasserIn), Dutour Sikirić, Mathieu (VerfasserIn), Štogrin, Michail Ivanovič 1938- (VerfasserIn)
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Sprache:English
Veröffentlicht: New Delhi [u.a.] Springer 2015
Schriftenreihe:Forum for Interdisciplinary Mathematics 1
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Datensatz im Suchindex

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adam_text GEOMETRIC STRUCTURE OF CHEMISTRY-RELEVANT GRAPHS / DEZA, MICHEL-MARIE : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS 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 DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. GEOMETRIC STRUCTURE OF CHEMISTRY-RELEVANT GRAPHS / DEZA, MICHEL-MARIE : 2015 ABSTRACT / INHALTSTEXT 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 DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author Deza, Michel 1939-
Dutour Sikirić, Mathieu
Štogrin, Michail Ivanovič 1938-
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series Forum for Interdisciplinary Mathematics
series2 Forum for interdisciplinary mathematics
spellingShingle Deza, Michel 1939-
Dutour Sikirić, Mathieu
Štogrin, Michail Ivanovič 1938-
Geometric structure of chemistry-relevant graphs zigzags and central circuits
Forum for Interdisciplinary Mathematics
Mathematics
Chemistry / Mathematics
Graph Theory
Mathematical Applications in the Physical Sciences
Math. Applications in Chemistry
Chemie
Mathematik
title Geometric structure of chemistry-relevant graphs zigzags and central circuits
title_auth Geometric structure of chemistry-relevant graphs zigzags and central circuits
title_exact_search Geometric structure of chemistry-relevant graphs zigzags and central circuits
title_full Geometric structure of chemistry-relevant graphs zigzags and central circuits Michel-Marie Deza ; Mathieu Dutour Sikirić ; Mikhail Ivanovitch Shtogrin
title_fullStr Geometric structure of chemistry-relevant graphs zigzags and central circuits Michel-Marie Deza ; Mathieu Dutour Sikirić ; Mikhail Ivanovitch Shtogrin
title_full_unstemmed Geometric structure of chemistry-relevant graphs zigzags and central circuits Michel-Marie Deza ; Mathieu Dutour Sikirić ; Mikhail Ivanovitch Shtogrin
title_short Geometric structure of chemistry-relevant graphs
title_sort geometric structure of chemistry relevant graphs zigzags and central circuits
title_sub zigzags and central circuits
topic Mathematics
Chemistry / Mathematics
Graph Theory
Mathematical Applications in the Physical Sciences
Math. Applications in Chemistry
Chemie
Mathematik
topic_facet Mathematics
Chemistry / Mathematics
Graph Theory
Mathematical Applications in the Physical Sciences
Math. Applications in Chemistry
Chemie
Mathematik
url https://doi.org/10.1007/978-81-322-2449-5
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