Strongly regular graphs:
Strongly regular graphs lie at the intersection of statistical design, group theory, finite geometry, information and coding theory, and extremal combinatorics. This monograph collects all the major known results together for the first time in book form, creating an invaluable text that researchers...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2022
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
182 |
| Schlagworte: | |
| Online-Zugang: | DE-12 DE-92 DE-91 Volltext |
| Zusammenfassung: | Strongly regular graphs lie at the intersection of statistical design, group theory, finite geometry, information and coding theory, and extremal combinatorics. This monograph collects all the major known results together for the first time in book form, creating an invaluable text that researchers in algebraic combinatorics and related areas will refer to for years to come. The book covers the theory of strongly regular graphs, polar graphs, rank 3 graphs associated to buildings and Fischer groups, cyclotomic graphs, two-weight codes and graphs related to combinatorial configurations such as Latin squares, quasi-symmetric designs and spherical designs. It gives the complete classification of rank 3 graphs, including some new constructions. More than 100 graphs are treated individually. Some unified and streamlined proofs are featured, along with original material including a new approach to the (affine) half spin graphs of rank 5 hyperbolic polar spaces. |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 10 Jan 2022) |
| Beschreibung: | 1 Online-Ressource (xvii, 462 Seiten) |
| ISBN: | 9781009057226 |
| DOI: | 10.1017/9781009057226 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1017/9781009057226 |
| format | Electronic eBook |
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| id | DE-604.BV047843796 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T19:13:01Z |
| indexdate | 2025-01-10T17:13:23Z |
| institution | BVB |
| isbn | 9781009057226 |
| language | English |
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| physical | 1 Online-Ressource (xvii, 462 Seiten) |
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| series2 | Encyclopedia of mathematics and its applications 182 |
| spelling | Brouwer, Andries E. 1951- (DE-588)1023667894 aut Strongly regular graphs Andries E. Brouwer, H. Van Maldeghem Cambridge Cambridge University Press 2022 1 Online-Ressource (xvii, 462 Seiten) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications 182 Title from publisher's bibliographic system (viewed on 10 Jan 2022) Strongly regular graphs lie at the intersection of statistical design, group theory, finite geometry, information and coding theory, and extremal combinatorics. This monograph collects all the major known results together for the first time in book form, creating an invaluable text that researchers in algebraic combinatorics and related areas will refer to for years to come. The book covers the theory of strongly regular graphs, polar graphs, rank 3 graphs associated to buildings and Fischer groups, cyclotomic graphs, two-weight codes and graphs related to combinatorial configurations such as Latin squares, quasi-symmetric designs and spherical designs. It gives the complete classification of rank 3 graphs, including some new constructions. More than 100 graphs are treated individually. Some unified and streamlined proofs are featured, along with original material including a new approach to the (affine) half spin graphs of rank 5 hyperbolic polar spaces. Graph theory Graphentheorie (DE-588)4113782-6 gnd rswk-swf Graphentheorie (DE-588)4113782-6 s DE-604 Maldeghem, H. van 1960- (DE-588)17224689X aut Erscheint auch als Druck-Ausgabe 978-1-31-651203-6 https://doi.org/10.1017/9781009057226 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Brouwer, Andries E. 1951- Maldeghem, H. van 1960- Strongly regular graphs Graph theory Graphentheorie (DE-588)4113782-6 gnd |
| subject_GND | (DE-588)4113782-6 |
| title | Strongly regular graphs |
| title_auth | Strongly regular graphs |
| title_exact_search | Strongly regular graphs |
| title_exact_search_txtP | Strongly regular graphs |
| title_full | Strongly regular graphs Andries E. Brouwer, H. Van Maldeghem |
| title_fullStr | Strongly regular graphs Andries E. Brouwer, H. Van Maldeghem |
| title_full_unstemmed | Strongly regular graphs Andries E. Brouwer, H. Van Maldeghem |
| title_short | Strongly regular graphs |
| title_sort | strongly regular graphs |
| topic | Graph theory Graphentheorie (DE-588)4113782-6 gnd |
| topic_facet | Graph theory Graphentheorie |
| url | https://doi.org/10.1017/9781009057226 |
| work_keys_str_mv | AT brouwerandriese stronglyregulargraphs AT maldeghemhvan stronglyregulargraphs |