{"id":"https://openalex.org/W2968015751","doi":"https://doi.org/10.14736/kyb-2020-6-1081","title":"Harmonic analysis of symmetric random graphs","display_name":"Harmonic analysis of symmetric random graphs","publication_year":2021,"publication_date":"2021-01-05","ids":{"openalex":"https://openalex.org/W2968015751","doi":"https://doi.org/10.14736/kyb-2020-6-1081","mag":"2968015751"},"language":"en","primary_location":{"id":"doi:10.14736/kyb-2020-6-1081","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2020-6-1081","pdf_url":"https://www.kybernetika.cz/content/2020/6/1081/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.kybernetika.cz/content/2020/6/1081/paper.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076051651","display_name":"Steffen L. Lauritzen","orcid":"https://orcid.org/0000-0001-7176-6212"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Steffen Lauritzen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076051651"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03471174,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1081","last_page":"1089"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.7285440564155579},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6932154297828674},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.650196373462677},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5824645757675171},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.5362311005592346},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4735005497932434},{"id":"https://openalex.org/keywords/cograph","display_name":"Cograph","score":0.4353463053703308},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.42879974842071533},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.255830854177475},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.2312910556793213}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7285440564155579},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6932154297828674},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.650196373462677},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5824645757675171},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.5362311005592346},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4735005497932434},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.4353463053703308},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.42879974842071533},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.255830854177475},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.2312910556793213}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.14736/kyb-2020-6-1081","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2020-6-1081","pdf_url":"https://www.kybernetika.cz/content/2020/6/1081/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1908.06456","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1908.06456","pdf_url":"https://arxiv.org/pdf/1908.06456","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/148500","is_oa":true,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/148500","pdf_url":"http://dml.cz/bitstream/handle/10338.dmlcz/148500/Kybernetika_56-2020-6_5.pdf","source":{"id":"https://openalex.org/S4306401489","display_name":"Czech Digital Mathematics Library (Institute of Mathematics CAS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text:not_categorized"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/61c02b83-6226-4935-b8a0-59f3c02b62d8","is_oa":true,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/61c02b83-6226-4935-b8a0-59f3c02b62d8","pdf_url":"https://curis.ku.dk/ws/files/254674140/HARMONIC_ANALYSIS_OF_SYMMETRIC_RANDOM_GRAPHS.pdf","source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lauritzen , S 2020 , ' Harmonic analysis of symmetric random graphs ' , Kybernetika , vol. 56 , no. 6 , pp. 1081-1089 . https://doi.org/10.14736/kyb-2020-6-1081","raw_type":"article"},{"id":"mag:2968015751","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1908.06456","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1908.06456","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1908.06456","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.14736/kyb-2020-6-1081","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2020-6-1081","pdf_url":"https://www.kybernetika.cz/content/2020/6/1081/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2968015751.pdf","grobid_xml":"https://content.openalex.org/works/W2968015751.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W179694669","https://openalex.org/W263845233","https://openalex.org/W271167781","https://openalex.org/W273178449","https://openalex.org/W418253111","https://openalex.org/W1533473741","https://openalex.org/W1974922363","https://openalex.org/W1985009003","https://openalex.org/W1987018426","https://openalex.org/W1995453127","https://openalex.org/W2014400576","https://openalex.org/W2018415308","https://openalex.org/W2055032836","https://openalex.org/W2076736556","https://openalex.org/W2079352458","https://openalex.org/W2082734581","https://openalex.org/W2087316149","https://openalex.org/W2111754130","https://openalex.org/W2136676173","https://openalex.org/W2181754868","https://openalex.org/W2319202815","https://openalex.org/W2585890768","https://openalex.org/W2962786854","https://openalex.org/W4233977402"],"related_works":["https://openalex.org/W3120401254","https://openalex.org/W3093739177","https://openalex.org/W2952609612","https://openalex.org/W2951930737","https://openalex.org/W2476070479","https://openalex.org/W2156471645","https://openalex.org/W2888790116","https://openalex.org/W2058295765","https://openalex.org/W3105441780","https://openalex.org/W1596423108","https://openalex.org/W3199084077","https://openalex.org/W3102806553","https://openalex.org/W2081506960","https://openalex.org/W2004542856","https://openalex.org/W1985266218","https://openalex.org/W188357332","https://openalex.org/W2006372752","https://openalex.org/W2951146932","https://openalex.org/W1796173830","https://openalex.org/W3195954061"],"abstract_inverted_index":{"This":[0,20],"note":[1],"attempts":[2],"to":[3],"understand":[4],"graph":[5],"limits":[6],"as":[7,31],"defined":[8],"by":[9,23],"Lovasz":[10],"and":[11],"Szegedy":[12],"in":[13],"terms":[14],"of":[15,27,33,38,49],"harmonic":[16],"analysis":[17],"on":[18,35],"semigroups.":[19],"is":[21],"done":[22],"representing":[24],"probability":[25],"distributions":[26],"random":[28,54],"exchangeable":[29,55],"graphs":[30,40],"mixtures":[32],"characters":[34],"the":[36],"semigroup":[37],"unlabeled":[39],"with":[41],"node-disjoint":[42],"union,":[43],"thereby":[44],"providing":[45],"an":[46],"alternative":[47],"derivation":[48],"de":[50],"Finetti's":[51],"theorem":[52],"for":[53],"graphs.":[56]},"counts_by_year":[],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}
