Symmetry in graphs:
This is the first full-length book on the major theme of symmetry in graphs. Forming part of algebraic graph theory, this fast-growing field is concerned with the study of highly symmetric graphs, particularly vertex-transitive graphs, and other combinatorial structures, primarily by group-theoretic...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York, NY
Cambridge University Press
2022
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
198 |
| Schlagworte: | |
| Online-Zugang: | BSB01 BTU01 FHN01 TUM01 Volltext |
| Zusammenfassung: | This is the first full-length book on the major theme of symmetry in graphs. Forming part of algebraic graph theory, this fast-growing field is concerned with the study of highly symmetric graphs, particularly vertex-transitive graphs, and other combinatorial structures, primarily by group-theoretic techniques. In practice the street goes both ways and these investigations shed new light on permutation groups and related algebraic structures. The book assumes a first course in graph theory and group theory but no specialized knowledge of the theory of permutation groups or vertex-transitive graphs. It begins with the basic material before introducing the field's major problems and most active research themes in order to motivate the detailed discussion of individual topics that follows. Featuring many examples and over 450 exercises, it is an essential introduction to the field for graduate students and a valuable addition to any algebraic graph theorist's bookshelf |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 07 Apr 2022) Introduction and constructions -- The petersen graph, blocks, and actions of A -- Some motivating problems -- Graphs with imprimitive automorphism group -- The end of the beginning -- Other classes of graphs -- The Cayley isomorphism problem -- Automorphism groups of vertex-transitive graphs -- Classifying vertex-transitive graphs -- Symmetric graphs -- Hamiltonicity -- Semiregularity -- Graphs with other types of symmetry : half-arc-transitive graphs and semisymmetric graphs -- Fare you well |
| Beschreibung: | 1 Online-Ressource (xi, 513 Seiten) |
| ISBN: | 9781108553995 |
| DOI: | 10.1017/9781108553995 |
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Datensatz im Suchindex
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| author | Dobson, Ted 1965- Malnič, Aleksander 1954- Marušič, Dragan 1953- |
| author_GND | (DE-588)125802215X (DE-588)125802232X (DE-588)136699359 |
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| bvnumber | BV048242609 |
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| dewey-ones | 511 - General principles of mathematics |
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| dewey-sort | 3511 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1017/9781108553995 |
| format | Electronic eBook |
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| id | DE-604.BV048242609 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T19:54:45Z |
| indexdate | 2024-07-10T09:32:54Z |
| institution | BVB |
| isbn | 9781108553995 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033623066 |
| oclc_num | 1322805341 |
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| owner_facet | DE-12 DE-92 DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (xi, 513 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO BTU_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO TUM_Paketkauf_2022 |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge studies in advanced mathematics 198 |
| spelling | Dobson, Ted 1965- (DE-588)125802215X aut Symmetry in graphs Ted Dobson, Aleksander Malnič, Dragan Marušič Cambridge ; New York, NY Cambridge University Press 2022 1 Online-Ressource (xi, 513 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 198 Title from publisher's bibliographic system (viewed on 07 Apr 2022) Introduction and constructions -- The petersen graph, blocks, and actions of A -- Some motivating problems -- Graphs with imprimitive automorphism group -- The end of the beginning -- Other classes of graphs -- The Cayley isomorphism problem -- Automorphism groups of vertex-transitive graphs -- Classifying vertex-transitive graphs -- Symmetric graphs -- Hamiltonicity -- Semiregularity -- Graphs with other types of symmetry : half-arc-transitive graphs and semisymmetric graphs -- Fare you well This is the first full-length book on the major theme of symmetry in graphs. Forming part of algebraic graph theory, this fast-growing field is concerned with the study of highly symmetric graphs, particularly vertex-transitive graphs, and other combinatorial structures, primarily by group-theoretic techniques. In practice the street goes both ways and these investigations shed new light on permutation groups and related algebraic structures. The book assumes a first course in graph theory and group theory but no specialized knowledge of the theory of permutation groups or vertex-transitive graphs. It begins with the basic material before introducing the field's major problems and most active research themes in order to motivate the detailed discussion of individual topics that follows. Featuring many examples and over 450 exercises, it is an essential introduction to the field for graduate students and a valuable addition to any algebraic graph theorist's bookshelf Graph theory Symmetry (Mathematics) Petersen-Graph (DE-588)4342679-7 gnd rswk-swf Symmetriegruppe (DE-588)4184201-7 gnd rswk-swf Symmetrie (DE-588)4058724-1 gnd rswk-swf Algebraische Graphentheorie (DE-588)1201434165 gnd rswk-swf Algebraische Graphentheorie (DE-588)1201434165 s Symmetrie (DE-588)4058724-1 s Symmetriegruppe (DE-588)4184201-7 s Petersen-Graph (DE-588)4342679-7 s DE-604 Malnič, Aleksander 1954- (DE-588)125802232X aut Marušič, Dragan 1953- (DE-588)136699359 aut Erscheint auch als Druck-Ausgabe 978-1-108-42906-1 https://doi.org/10.1017/9781108553995 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Dobson, Ted 1965- Malnič, Aleksander 1954- Marušič, Dragan 1953- Symmetry in graphs Graph theory Symmetry (Mathematics) Petersen-Graph (DE-588)4342679-7 gnd Symmetriegruppe (DE-588)4184201-7 gnd Symmetrie (DE-588)4058724-1 gnd Algebraische Graphentheorie (DE-588)1201434165 gnd |
| subject_GND | (DE-588)4342679-7 (DE-588)4184201-7 (DE-588)4058724-1 (DE-588)1201434165 |
| title | Symmetry in graphs |
| title_auth | Symmetry in graphs |
| title_exact_search | Symmetry in graphs |
| title_exact_search_txtP | Symmetry in graphs |
| title_full | Symmetry in graphs Ted Dobson, Aleksander Malnič, Dragan Marušič |
| title_fullStr | Symmetry in graphs Ted Dobson, Aleksander Malnič, Dragan Marušič |
| title_full_unstemmed | Symmetry in graphs Ted Dobson, Aleksander Malnič, Dragan Marušič |
| title_short | Symmetry in graphs |
| title_sort | symmetry in graphs |
| topic | Graph theory Symmetry (Mathematics) Petersen-Graph (DE-588)4342679-7 gnd Symmetriegruppe (DE-588)4184201-7 gnd Symmetrie (DE-588)4058724-1 gnd Algebraische Graphentheorie (DE-588)1201434165 gnd |
| topic_facet | Graph theory Symmetry (Mathematics) Petersen-Graph Symmetriegruppe Symmetrie Algebraische Graphentheorie |
| url | https://doi.org/10.1017/9781108553995 |
| work_keys_str_mv | AT dobsonted symmetryingraphs AT malnicaleksander symmetryingraphs AT marusicdragan symmetryingraphs |