Random graphs and networks: a first course
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge, United Kingdom
Cambridge University Press
2023
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/9781009260268 https://doi.org/10.1017/9781009260268 https://doi.org/10.1017/9781009260268 |
| Abstract: | Networks surround us, from social networks to protein-protein interaction networks within the cells of our bodies. The theory of random graphs provides a necessary framework for understanding their structure and development. This text provides an accessible introduction to this rapidly expanding subject. It covers all the basic features of random graphs - component structure, matchings and Hamilton cycles, connectivity and chromatic number - before discussing models of real-world networks, including intersection graphs, preferential attachment graphs and small-world models. Based on the authors' own teaching experience, it can be used as a textbook for a one-semester course on random graphs and networks at advanced undergraduate or graduate level. The text includes numerous exercises, with a particular focus on developing students' skills in asymptotic analysis. More challenging problems are accompanied by hints or suggestions for further reading. |
| Umfang: | 1 Online-Ressource (xiii, 215 Seiten) |
| ISBN: | 9781009260268 |
| DOI: | 10.1017/9781009260268 |
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| 520 | 3 | |a Networks surround us, from social networks to protein-protein interaction networks within the cells of our bodies. The theory of random graphs provides a necessary framework for understanding their structure and development. This text provides an accessible introduction to this rapidly expanding subject. It covers all the basic features of random graphs - component structure, matchings and Hamilton cycles, connectivity and chromatic number - before discussing models of real-world networks, including intersection graphs, preferential attachment graphs and small-world models. Based on the authors' own teaching experience, it can be used as a textbook for a one-semester course on random graphs and networks at advanced undergraduate or graduate level. The text includes numerous exercises, with a particular focus on developing students' skills in asymptotic analysis. More challenging problems are accompanied by hints or suggestions for further reading. | |
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| discipline | Mathematik |
| doi_str_mv | 10.1017/9781009260268 |
| format | Electronic eBook |
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| id | DE-604.BV048913593 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T19:55:32Z |
| institution | BVB |
| isbn | 9781009260268 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034177756 |
| oclc_num | 1378502855 |
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| owner_facet | DE-824 DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (xiii, 215 Seiten) |
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| publisher | Cambridge University Press |
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| spellingShingle | Frieze, Alan 1945- Karoński, Michał 1946- Random graphs and networks a first course Netzwerk Graphentheorie (DE-588)4705155-3 gnd Zufallsgraph (DE-588)4277661-2 gnd |
| subject_GND | (DE-588)4705155-3 (DE-588)4277661-2 |
| title | Random graphs and networks a first course |
| title_auth | Random graphs and networks a first course |
| title_exact_search | Random graphs and networks a first course |
| title_full | Random graphs and networks a first course Alan Frieze, Carnegie Mellon University, Michał Karoński, Adam Mickiewicz University |
| title_fullStr | Random graphs and networks a first course Alan Frieze, Carnegie Mellon University, Michał Karoński, Adam Mickiewicz University |
| title_full_unstemmed | Random graphs and networks a first course Alan Frieze, Carnegie Mellon University, Michał Karoński, Adam Mickiewicz University |
| title_short | Random graphs and networks |
| title_sort | random graphs and networks a first course |
| title_sub | a first course |
| topic | Netzwerk Graphentheorie (DE-588)4705155-3 gnd Zufallsgraph (DE-588)4277661-2 gnd |
| topic_facet | Netzwerk Graphentheorie Zufallsgraph |
| url | https://doi.org/10.1017/9781009260268 |
| work_keys_str_mv | AT friezealan randomgraphsandnetworksafirstcourse AT karonskimichał randomgraphsandnetworksafirstcourse |