Combinatorial rigidity:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
1993
|
| Series: | Graduate Studies in Mathematics
2 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 172 Seiten Ill., graph. Darst. |
| ISBN: | 0821838016 9780821838013 |
Staff View
MARC
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| 245 | 1 | 0 | |a Combinatorial rigidity |c Jack Graver, Brigitte Servatius, Herman Servatius |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 1993 | |
| 300 | |a X, 172 Seiten |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Record in the Search Index
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| adam_text | Contents
Preface ix
Chapter 1. Overview 1
1.1. An Intuitive Introduction to Rigidity 1
1.2. A Short History of Rigidity 9
Chapter 2. Infinitesimal Rigidity 17
2.1. Basic Definitions 17
2.2. Independence and the Stress Space 24
2.3. Infinitesimal Motions and Isometries 30
2.4. Infinitesimal and Generic Rigidity 36
2.5. Rigidity Matroids 39
2.6. Isostatic Sets 47
Chapter 3. Matroid Theory 55
3.1. Closure Operators 55
3.2. Independence Systems 56
3.3. Basis Systems 59
3.4. Rank Function 60
3.5. Cycle Systems 62
3.6. Duality and Minors 68
3.7. Connectivity 74
3.8. Representability 79
3.9. Transversal Matroids 82
3.10. Graphic Matroids 84
3.11. Abstract Rigidity Matroids 86
Chapter 4. Linear and Planar Rigidity 93
4.1. Abstract Rigidity in the Plane 93
4.2. Combinatorial Characterizations of Qi(n) 96
4.3. Cycles in £2(n) 98
4.4. Rigid Components of Qi(G) 100
4.5. Representability of Q2(n) 103
vii
viii CONTENTS
4.6. Characterizations of y^2 and (»42)x 104
4.7. Rigidity and Connectivity 109
4.8. Trees and 2 dimensional Isostatic Sets 113
4.9. Tree Decomposition Theorems 118
4.10. Computational Aspects 123
Chapter 5. Rigidity in Higher Dimensions 129
5.1. Introduction 129
5.2. Higher Dimensional Examples 131
5.3. The Henneberg Conjecture 133
5.4. Stresses and Strains 138
5.5. 2 Extensions in 3 Space 143
5.6. The Dress Conjecture 147
5.7. Other Conjectures 149
References 153
Index 171
|
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| author | Graver, Jack E. 1935- Servatius, Brigitte Servatius, Herman |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.6 |
| dewey-search | 511.6 |
| dewey-sort | 3511.6 |
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| discipline | Mathematik |
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| id | DE-604.BV010111617 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:46:42Z |
| institution | BVB |
| isbn | 0821838016 9780821838013 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006713843 |
| oclc_num | 318216903 |
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| owner_facet | DE-739 DE-83 DE-11 DE-188 DE-29T |
| physical | X, 172 Seiten Ill., graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Graduate Studies in Mathematics |
| series2 | Graduate Studies in Mathematics |
| spelling | Graver, Jack E. 1935- Verfasser (DE-588)172117437 aut Combinatorial rigidity Jack Graver, Brigitte Servatius, Herman Servatius Providence, RI American Mathematical Society 1993 X, 172 Seiten Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate Studies in Mathematics 2 Matroid swd Matroides (Matemáticas) Teoría topológica de grafos Topologische Graphentheorie swd Servatius, Brigitte Verfasser aut Servatius, Herman Verfasser aut Erscheint auch als Online-Ausgabe 978-1-4704-2065-9 Graduate Studies in Mathematics 2 (DE-604)BV009739289 2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006713843&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Graver, Jack E. 1935- Servatius, Brigitte Servatius, Herman Combinatorial rigidity Graduate Studies in Mathematics Matroid swd Matroides (Matemáticas) Teoría topológica de grafos Topologische Graphentheorie swd |
| title | Combinatorial rigidity |
| title_auth | Combinatorial rigidity |
| title_exact_search | Combinatorial rigidity |
| title_full | Combinatorial rigidity Jack Graver, Brigitte Servatius, Herman Servatius |
| title_fullStr | Combinatorial rigidity Jack Graver, Brigitte Servatius, Herman Servatius |
| title_full_unstemmed | Combinatorial rigidity Jack Graver, Brigitte Servatius, Herman Servatius |
| title_short | Combinatorial rigidity |
| title_sort | combinatorial rigidity |
| topic | Matroid swd Matroides (Matemáticas) Teoría topológica de grafos Topologische Graphentheorie swd |
| topic_facet | Matroid Matroides (Matemáticas) Teoría topológica de grafos Topologische Graphentheorie |
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| volume_link | (DE-604)BV009739289 |
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