Forbidden configurations in discrete geometry:
This book surveys the mathematical and computational properties of finite sets of points in the plane, covering recent breakthroughs on important problems in discrete geometry, and listing many open problems. It unifies these mathematical and computational views using forbidden configurations, which...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2018
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBA01 URL des Erstveröffentlichers |
| Zusammenfassung: | This book surveys the mathematical and computational properties of finite sets of points in the plane, covering recent breakthroughs on important problems in discrete geometry, and listing many open problems. It unifies these mathematical and computational views using forbidden configurations, which are patterns that cannot appear in sets with a given property, and explores the implications of this unified view. Written with minimal prerequisites and featuring plenty of figures, this engaging book will be of interest to undergraduate students and researchers in mathematics and computer science. Most topics are introduced with a related puzzle or brain-teaser. The topics range from abstract issues of collinearity, convexity, and general position to more applied areas including robust statistical estimation and network visualization, with connections to related areas of mathematics including number theory, graph theory, and the theory of permutation patterns. Pseudocode is included for many algorithms that compute properties of point sets |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 16 May 2018) |
| Beschreibung: | 1 online resource (ix, 230 pages) |
| ISBN: | 9781108539180 |
| DOI: | 10.1017/9781108539180 |
Internformat
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Datensatz im Suchindex
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| any_adam_object | |
| author | Eppstein, David 1963- |
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| author_sort | Eppstein, David 1963- |
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| bvnumber | BV045237051 |
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| ctrlnum | (ZDB-20-CBO)CR9781108539180 (OCoLC)1053901102 (DE-599)BVBBV045237051 |
| dewey-full | 516/.11 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516/.11 |
| dewey-search | 516/.11 |
| dewey-sort | 3516 211 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/9781108539180 |
| format | Electronic eBook |
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| id | DE-604.BV045237051 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:12:24Z |
| institution | BVB |
| isbn | 9781108539180 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030625319 |
| oclc_num | 1053901102 |
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| owner | DE-12 DE-92 DE-384 |
| owner_facet | DE-12 DE-92 DE-384 |
| physical | 1 online resource (ix, 230 pages) |
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| publishDate | 2018 |
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| publisher | Cambridge University Press |
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| spelling | Eppstein, David 1963- Verfasser (DE-588)133890511 aut Forbidden configurations in discrete geometry David Eppstein Cambridge Cambridge University Press 2018 1 online resource (ix, 230 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 16 May 2018) This book surveys the mathematical and computational properties of finite sets of points in the plane, covering recent breakthroughs on important problems in discrete geometry, and listing many open problems. It unifies these mathematical and computational views using forbidden configurations, which are patterns that cannot appear in sets with a given property, and explores the implications of this unified view. Written with minimal prerequisites and featuring plenty of figures, this engaging book will be of interest to undergraduate students and researchers in mathematics and computer science. Most topics are introduced with a related puzzle or brain-teaser. The topics range from abstract issues of collinearity, convexity, and general position to more applied areas including robust statistical estimation and network visualization, with connections to related areas of mathematics including number theory, graph theory, and the theory of permutation patterns. Pseudocode is included for many algorithms that compute properties of point sets Discrete geometry Combinatorial analysis Erscheint auch als Druck-Ausgabe, hardback 9781108423915 Erscheint auch als Druck-Ausgabe, paperback 9781108439138 https://doi.org/10.1017/9781108539180 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Eppstein, David 1963- Forbidden configurations in discrete geometry Discrete geometry Combinatorial analysis |
| title | Forbidden configurations in discrete geometry |
| title_auth | Forbidden configurations in discrete geometry |
| title_exact_search | Forbidden configurations in discrete geometry |
| title_full | Forbidden configurations in discrete geometry David Eppstein |
| title_fullStr | Forbidden configurations in discrete geometry David Eppstein |
| title_full_unstemmed | Forbidden configurations in discrete geometry David Eppstein |
| title_short | Forbidden configurations in discrete geometry |
| title_sort | forbidden configurations in discrete geometry |
| topic | Discrete geometry Combinatorial analysis |
| topic_facet | Discrete geometry Combinatorial analysis |
| url | https://doi.org/10.1017/9781108539180 |
| work_keys_str_mv | AT eppsteindavid forbiddenconfigurationsindiscretegeometry |