{"id":"https://openalex.org/W4392971611","doi":"https://doi.org/10.1093/comnet/cnae037","title":"Beyond directed hypergraphs: heterogeneous hypergraphs and spectral centralities","display_name":"Beyond directed hypergraphs: heterogeneous hypergraphs and spectral centralities","publication_year":2024,"publication_date":"2024-09-03","ids":{"openalex":"https://openalex.org/W4392971611","doi":"https://doi.org/10.1093/comnet/cnae037"},"language":"en","primary_location":{"id":"doi:10.1093/comnet/cnae037","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1093/comnet/cnae037","pdf_url":null,"source":{"id":"https://openalex.org/S2531583244","display_name":"Journal of Complex Networks","issn_l":"2051-1310","issn":["2051-1310","2051-1329"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Complex Networks","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2403.11825","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045301010","display_name":"Gonzalo Contreras-Aso","orcid":"https://orcid.org/0000-0002-8118-6403"},"institutions":[{"id":"https://openalex.org/I182083151","display_name":"Universidad Rey Juan Carlos","ror":"https://ror.org/01v5cv687","country_code":"ES","type":"education","lineage":["https://openalex.org/I182083151"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Gonzalo Contreras-Aso","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada, Ciencia e Ingenier\u00eda de los Materiales y Tecnolog\u00eda Electr\u00f3nica, Universidad Rey Juan Carlos , c/Tulip\u00e1n s/n , 28933 M\u00f3stoles (Madrid), Spain"],"raw_orcid":"https://orcid.org/0000-0002-8118-6403","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, Ciencia e Ingenier\u00eda de los Materiales y Tecnolog\u00eda Electr\u00f3nica, Universidad Rey Juan Carlos , c/Tulip\u00e1n s/n , 28933 M\u00f3stoles (Madrid), Spain","institution_ids":["https://openalex.org/I182083151"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039528370","display_name":"Regino Criado","orcid":"https://orcid.org/0000-0001-7954-6169"},"institutions":[{"id":"https://openalex.org/I182083151","display_name":"Universidad Rey Juan Carlos","ror":"https://ror.org/01v5cv687","country_code":"ES","type":"education","lineage":["https://openalex.org/I182083151"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Regino Criado","raw_affiliation_strings":["Data, Complex Networks and Cybersecurity Research Institute, Universidad Rey Juan Carlos , Plaza Manuel Becerra, 14 28028 Madrid, Spain","Departamento de Matem\u00e1tica Aplicada, Ciencia e Ingenier\u00eda de los Materiales y Tecnolog\u00eda Electr\u00f3nica, Universidad Rey Juan Carlos , c/Tulip\u00e1n s/n , 28933 M\u00f3stoles (Madrid), Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Data, Complex Networks and Cybersecurity Research Institute, Universidad Rey Juan Carlos , Plaza Manuel Becerra, 14 28028 Madrid, Spain","institution_ids":["https://openalex.org/I182083151"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, Ciencia e Ingenier\u00eda de los Materiales y Tecnolog\u00eda Electr\u00f3nica, Universidad Rey Juan Carlos , c/Tulip\u00e1n s/n , 28933 M\u00f3stoles (Madrid), Spain","institution_ids":["https://openalex.org/I182083151"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048911705","display_name":"Miguel Romance","orcid":"https://orcid.org/0000-0001-9259-9716"},"institutions":[{"id":"https://openalex.org/I182083151","display_name":"Universidad Rey Juan Carlos","ror":"https://ror.org/01v5cv687","country_code":"ES","type":"education","lineage":["https://openalex.org/I182083151"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Miguel Romance","raw_affiliation_strings":["Data, Complex Networks and Cybersecurity Research Institute, Universidad Rey Juan Carlos , Plaza Manuel Becerra, 14 28028 Madrid, Spain","Departamento de Matem\u00e1tica Aplicada, Ciencia e Ingenier\u00eda de los Materiales y Tecnolog\u00eda Electr\u00f3nica, Universidad Rey Juan Carlos , c/Tulip\u00e1n s/n , 28933 M\u00f3stoles (Madrid), Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Data, Complex Networks and Cybersecurity Research Institute, Universidad Rey Juan Carlos , Plaza Manuel Becerra, 14 28028 Madrid, Spain","institution_ids":["https://openalex.org/I182083151"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, Ciencia e Ingenier\u00eda de los Materiales y Tecnolog\u00eda Electr\u00f3nica, Universidad Rey Juan Carlos , c/Tulip\u00e1n s/n , 28933 M\u00f3stoles (Madrid), Spain","institution_ids":["https://openalex.org/I182083151"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I182083151"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.6181,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.61048265,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"12","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9868000149726868,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9711999893188477,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/centrality","display_name":"Centrality","score":0.722949743270874},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.6886036396026611},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.6443092226982117},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5469957590103149},{"id":"https://openalex.org/keywords/realm","display_name":"Realm","score":0.5077796578407288},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.47712114453315735},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4713270962238312},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.440576434135437},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43019339442253113},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3278532028198242},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3139731287956238},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09923824667930603},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.08505800366401672},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.07156801223754883}],"concepts":[{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.722949743270874},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.6886036396026611},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.6443092226982117},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5469957590103149},{"id":"https://openalex.org/C2778757428","wikidata":"https://www.wikidata.org/wiki/Q1250464","display_name":"Realm","level":2,"score":0.5077796578407288},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.47712114453315735},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4713270962238312},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.440576434135437},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43019339442253113},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3278532028198242},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3139731287956238},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09923824667930603},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.08505800366401672},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07156801223754883},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/comnet/cnae037","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1093/comnet/cnae037","pdf_url":null,"source":{"id":"https://openalex.org/S2531583244","display_name":"Journal of Complex Networks","issn_l":"2051-1310","issn":["2051-1310","2051-1329"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Complex Networks","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2403.11825","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2403.11825","pdf_url":"https://arxiv.org/pdf/2403.11825","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2403.11825","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2403.11825","pdf_url":"https://arxiv.org/pdf/2403.11825","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2815892722","display_name":null,"funder_award_id":"M3386/2024/0031/001","funder_id":"https://openalex.org/F4320327970","funder_display_name":"Instituto Nacional de Ciberseguridad"},{"id":"https://openalex.org/G3114568995","display_name":null,"funder_award_id":"M3033","funder_id":"https://openalex.org/F4320324496","funder_display_name":"Universidad Rey Juan Carlos"},{"id":"https://openalex.org/G3447810445","display_name":null,"funder_award_id":"PREDOC-21-026-2164","funder_id":"https://openalex.org/F4320324496","funder_display_name":"Universidad Rey Juan Carlos"},{"id":"https://openalex.org/G546836605","display_name":null,"funder_award_id":"M3386/2024/0031/001","funder_id":"https://openalex.org/F4320324496","funder_display_name":"Universidad Rey Juan Carlos"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320324496","display_name":"Universidad Rey Juan Carlos","ror":"https://ror.org/01v5cv687"},{"id":"https://openalex.org/F4320327970","display_name":"Instituto Nacional de Ciberseguridad","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392971611.pdf"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W2018550328","https://openalex.org/W2024514015","https://openalex.org/W2070722739","https://openalex.org/W2083786039","https://openalex.org/W2102869773","https://openalex.org/W2112660220","https://openalex.org/W2202347610","https://openalex.org/W2231425016","https://openalex.org/W2299844414","https://openalex.org/W2792880831","https://openalex.org/W2950779295","https://openalex.org/W2963492850","https://openalex.org/W2963686193","https://openalex.org/W2984206738","https://openalex.org/W3033513666","https://openalex.org/W3037400782","https://openalex.org/W3136117235","https://openalex.org/W3194039370","https://openalex.org/W3202715456","https://openalex.org/W4238452917","https://openalex.org/W4245490374","https://openalex.org/W4307953447","https://openalex.org/W4368339297","https://openalex.org/W4377042461","https://openalex.org/W4383653260","https://openalex.org/W4388256259"],"related_works":["https://openalex.org/W2359053655","https://openalex.org/W2387777532","https://openalex.org/W2382709029","https://openalex.org/W2389147080","https://openalex.org/W2377883125","https://openalex.org/W2362479786","https://openalex.org/W2392455911","https://openalex.org/W2374248756","https://openalex.org/W2375492428","https://openalex.org/W2096497428"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"study":[2,62],"of":[3,9,41,48,70,92],"hypergraphs":[4,43,54],"has":[5,21],"received":[6],"a":[7,56],"lot":[8],"attention":[10],"over":[11],"the":[12,39,63,85],"past":[13],"few":[14],"years,":[15],"however":[16],"up":[17],"until":[18],"recently":[19],"there":[20],"been":[22],"no":[23],"interest":[24],"in":[25],"systems":[26],"where":[27],"higher":[28,95,102],"order":[29,96,103],"interactions":[30],"are":[31],"not":[32],"undirected.":[33],"In":[34],"this":[35,80],"article,":[36],"we":[37,99,109],"introduce":[38],"notion":[40],"heterogeneous":[42,71],"from":[44,105],"an":[45],"algebraic":[46],"point":[47],"view,":[49],"which":[50,108],"have":[51],"traditional":[52],"directed":[53,101],"as":[55],"particular":[57],"case.":[58],"We":[59,83],"furthermore":[60],"analytically":[61],"spectral":[64],"centralities":[65],"associated":[66],"to":[67,79],"some":[68,89],"types":[69],"hypergraphs,":[72],"extending":[73],"previously":[74],"defined":[75],"eigenvector-like":[76],"centrality":[77],"measures":[78],"new":[81],"realm.":[82],"supplement":[84],"analytical":[86],"arguments":[87],"with":[88],"numerical":[90],"comparisons":[91],"pairwise":[93],"and":[94,98,114],"rankings,":[97],"construct":[100],"networks":[104],"real":[106],"data,":[107],"then":[110],"use":[111],"for":[112],"discussion":[113],"analysis.":[115]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
