Higher-order networks: an introduction to simplicial complexes
Higher-order networks describe the many-body interactions of a large variety of complex systems, ranging from the the brain to collaboration networks. Simplicial complexes are generalized network structures which allow us to capture the combinatorial properties, the topology and the geometry of high...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2021
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/9781108770996 https://doi.org/10.1017/9781108770996 https://doi.org/10.1017/9781108770996 https://doi.org/10.1017/9781108770996 |
| Zusammenfassung: | Higher-order networks describe the many-body interactions of a large variety of complex systems, ranging from the the brain to collaboration networks. Simplicial complexes are generalized network structures which allow us to capture the combinatorial properties, the topology and the geometry of higher-order networks. Having been used extensively in quantum gravity to describe discrete or discretized space-time, simplicial complexes have only recently started becoming the representation of choice for capturing the underlying network topology and geometry of complex systems. This Element provides an in-depth introduction to the very hot topic of network theory, covering a wide range of subjects ranging from emergent hyperbolic geometry and topological data analysis to higher-order dynamics. This Elements aims to demonstrate that simplicial complexes provide a very general mathematical framework to reveal how higher-order dynamics depends on simplicial network topology and geometry |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 25 Nov 2021) |
| Umfang: | 1 Online-Ressource (140 Seiten) |
| ISBN: | 9781108770996 |
| DOI: | 10.1017/9781108770996 |
Internformat
MARC
| LEADER | 00000nam a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV047655261 | ||
| 003 | DE-604 | ||
| 005 | 20221205 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 211228s2021 xx o|||| 00||| eng d | ||
| 020 | |a 9781108770996 |c Online |9 978-1-108-77099-6 | ||
| 024 | 7 | |a 10.1017/9781108770996 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781108770996 | ||
| 035 | |a (OCoLC)1291612858 | ||
| 035 | |a (DE-599)BVBBV047655261 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 |a DE-91 | ||
| 082 | 0 | |a 003 | |
| 100 | 1 | |a Bianconi, Ginestra |d ca. 20./21. Jh. |0 (DE-588)1163765929 |4 aut | |
| 245 | 1 | 0 | |a Higher-order networks |b an introduction to simplicial complexes |c Ginestra Bianconi |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2021 | |
| 300 | |a 1 Online-Ressource (140 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Title from publisher's bibliographic system (viewed on 25 Nov 2021) | ||
| 520 | |a Higher-order networks describe the many-body interactions of a large variety of complex systems, ranging from the the brain to collaboration networks. Simplicial complexes are generalized network structures which allow us to capture the combinatorial properties, the topology and the geometry of higher-order networks. Having been used extensively in quantum gravity to describe discrete or discretized space-time, simplicial complexes have only recently started becoming the representation of choice for capturing the underlying network topology and geometry of complex systems. This Element provides an in-depth introduction to the very hot topic of network theory, covering a wide range of subjects ranging from emergent hyperbolic geometry and topological data analysis to higher-order dynamics. This Elements aims to demonstrate that simplicial complexes provide a very general mathematical framework to reveal how higher-order dynamics depends on simplicial network topology and geometry | ||
| 650 | 4 | |a System theory | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-1-108-72673-3 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/9781108770996 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-033040204 | |
| 966 | e | |u https://doi.org/10.1017/9781108770996 |l DE-12 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781108770996 |l DE-92 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781108770996 |l DE-91 |p ZDB-20-CBO |q TUM_Paketkauf_2021 |x Verlag |3 Volltext | |
Datensatz im Suchindex
| DE-BY-TUM_katkey | 2702912 |
|---|---|
| _version_ | 1821936518714884097 |
| any_adam_object | |
| author | Bianconi, Ginestra ca. 20./21. Jh |
| author_GND | (DE-588)1163765929 |
| author_facet | Bianconi, Ginestra ca. 20./21. Jh |
| author_role | aut |
| author_sort | Bianconi, Ginestra ca. 20./21. Jh |
| author_variant | g b gb |
| building | Verbundindex |
| bvnumber | BV047655261 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781108770996 (OCoLC)1291612858 (DE-599)BVBBV047655261 |
| dewey-full | 003 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 003 - Systems |
| dewey-raw | 003 |
| dewey-search | 003 |
| dewey-sort | 13 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik |
| doi_str_mv | 10.1017/9781108770996 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02573nam a2200397zc 4500</leader><controlfield tag="001">BV047655261</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20221205 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">211228s2021 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781108770996</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-108-77099-6</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/9781108770996</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781108770996</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1291612858</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV047655261</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-91</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">003</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bianconi, Ginestra</subfield><subfield code="d">ca. 20./21. Jh.</subfield><subfield code="0">(DE-588)1163765929</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Higher-order networks</subfield><subfield code="b">an introduction to simplicial complexes</subfield><subfield code="c">Ginestra Bianconi</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2021</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (140 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 25 Nov 2021)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Higher-order networks describe the many-body interactions of a large variety of complex systems, ranging from the the brain to collaboration networks. Simplicial complexes are generalized network structures which allow us to capture the combinatorial properties, the topology and the geometry of higher-order networks. Having been used extensively in quantum gravity to describe discrete or discretized space-time, simplicial complexes have only recently started becoming the representation of choice for capturing the underlying network topology and geometry of complex systems. This Element provides an in-depth introduction to the very hot topic of network theory, covering a wide range of subjects ranging from emergent hyperbolic geometry and topological data analysis to higher-order dynamics. This Elements aims to demonstrate that simplicial complexes provide a very general mathematical framework to reveal how higher-order dynamics depends on simplicial network topology and geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">System theory</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-1-108-72673-3</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/9781108770996</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-033040204</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108770996</subfield><subfield code="l">DE-12</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108770996</subfield><subfield code="l">DE-92</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108770996</subfield><subfield code="l">DE-91</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">TUM_Paketkauf_2021</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV047655261 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T19:25:21Z |
| institution | BVB |
| isbn | 9781108770996 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033040204 |
| oclc_num | 1291612858 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-91 DE-BY-TUM |
| owner_facet | DE-12 DE-92 DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (140 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO TUM_Paketkauf_2021 |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | Cambridge University Press |
| record_format | marc |
| spellingShingle | Bianconi, Ginestra ca. 20./21. Jh Higher-order networks an introduction to simplicial complexes System theory |
| title | Higher-order networks an introduction to simplicial complexes |
| title_auth | Higher-order networks an introduction to simplicial complexes |
| title_exact_search | Higher-order networks an introduction to simplicial complexes |
| title_full | Higher-order networks an introduction to simplicial complexes Ginestra Bianconi |
| title_fullStr | Higher-order networks an introduction to simplicial complexes Ginestra Bianconi |
| title_full_unstemmed | Higher-order networks an introduction to simplicial complexes Ginestra Bianconi |
| title_short | Higher-order networks |
| title_sort | higher order networks an introduction to simplicial complexes |
| title_sub | an introduction to simplicial complexes |
| topic | System theory |
| topic_facet | System theory |
| url | https://doi.org/10.1017/9781108770996 |
| work_keys_str_mv | AT bianconiginestra higherordernetworksanintroductiontosimplicialcomplexes |