Regular Graphs: a spectral approach
Written for mathematicians working with the theory of graph spectra, this (primarily theoretical) book presents relevant results considering the spectral properties of regular graphs. The book begins with a short introduction including necessary terminology and notation. The author then proceeds wit...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2017]
|
| Series: | De Gruyter series in discrete mathematics and applications
Volume 4 |
| Subjects: | |
| Online Access: | DE-573 DE-898 DE-859 DE-860 DE-91 DE-20 DE-706 DE-739 DE-1046 DE-1043 DE-858 Volltext |
| Summary: | Written for mathematicians working with the theory of graph spectra, this (primarily theoretical) book presents relevant results considering the spectral properties of regular graphs. The book begins with a short introduction including necessary terminology and notation. The author then proceeds with basic properties, specifi ed subclasses of regular graphs (like distance-regular graphs, strongly regular graphs, various designs or expanders) and determining particular regular graphs. Each chapter contains detailed proofs, discussions, comparisons, examples, exercises and also indicates possible applications. Finally, the author also includes some conjectures and open problems to promote further research. ContentsSpectral propertiesParticular types of regular graphDeterminations of regular graphsExpandersDistance matrix of regular graphs |
| Physical Description: | 1 Online-Ressource (IX, 236 Seiten) |
| ISBN: | 9783110351347 |
| DOI: | 10.1515/9783110351347 |
Staff View
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| discipline | Mathematik |
| doi_str_mv | 10.1515/9783110351347 |
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| id | DE-604.BV044344254 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-18T15:09:30Z |
| institution | BVB |
| isbn | 9783110351347 |
| language | English |
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| publishDate | 2017 |
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| series | De Gruyter series in discrete mathematics and applications |
| series2 | De Gruyter series in discrete mathematics and applications |
| spelling | Stanić, Zoran 1975- Verfasser (DE-588)1074890655 aut Regular Graphs a spectral approach Zoran Stanić Berlin ; Boston De Gruyter [2017] © 2017 1 Online-Ressource (IX, 236 Seiten) txt rdacontent c rdamedia cr rdacarrier De Gruyter series in discrete mathematics and applications Volume 4 Written for mathematicians working with the theory of graph spectra, this (primarily theoretical) book presents relevant results considering the spectral properties of regular graphs. The book begins with a short introduction including necessary terminology and notation. The author then proceeds with basic properties, specifi ed subclasses of regular graphs (like distance-regular graphs, strongly regular graphs, various designs or expanders) and determining particular regular graphs. Each chapter contains detailed proofs, discussions, comparisons, examples, exercises and also indicates possible applications. Finally, the author also includes some conjectures and open problems to promote further research. ContentsSpectral propertiesParticular types of regular graphDeterminations of regular graphsExpandersDistance matrix of regular graphs constructions of regular graphs expanders Expandierender Graph Graph Graphentheorie regular graphs with high symmetry Regulärer Graph Spectral properties of regular graphs Spektrum ‹Mathematik› Regulärer Graph (DE-588)4214561-2 gnd rswk-swf Regulärer Graph (DE-588)4214561-2 s DE-604 Erscheint auch als Druck-Ausgabe 978-3-11-035128-6 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-038336-2 De Gruyter series in discrete mathematics and applications Volume 4 (DE-604)BV044292017 4 https://doi.org/10.1515/9783110351347 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Stanić, Zoran 1975- Regular Graphs a spectral approach De Gruyter series in discrete mathematics and applications constructions of regular graphs expanders Expandierender Graph Graph Graphentheorie regular graphs with high symmetry Regulärer Graph Spectral properties of regular graphs Spektrum ‹Mathematik› Regulärer Graph (DE-588)4214561-2 gnd |
| subject_GND | (DE-588)4214561-2 |
| title | Regular Graphs a spectral approach |
| title_auth | Regular Graphs a spectral approach |
| title_exact_search | Regular Graphs a spectral approach |
| title_full | Regular Graphs a spectral approach Zoran Stanić |
| title_fullStr | Regular Graphs a spectral approach Zoran Stanić |
| title_full_unstemmed | Regular Graphs a spectral approach Zoran Stanić |
| title_short | Regular Graphs |
| title_sort | regular graphs a spectral approach |
| title_sub | a spectral approach |
| topic | constructions of regular graphs expanders Expandierender Graph Graph Graphentheorie regular graphs with high symmetry Regulärer Graph Spectral properties of regular graphs Spektrum ‹Mathematik› Regulärer Graph (DE-588)4214561-2 gnd |
| topic_facet | constructions of regular graphs expanders Expandierender Graph Graph Graphentheorie regular graphs with high symmetry Regulärer Graph Spectral properties of regular graphs Spektrum ‹Mathematik› |
| url | https://doi.org/10.1515/9783110351347 |
| volume_link | (DE-604)BV044292017 |
| work_keys_str_mv | AT staniczoran regulargraphsaspectralapproach |