{"id":"https://openalex.org/W7152599020","doi":"https://doi.org/10.3390/e28040420","title":"A Propagation Model of Social Hypernetwork Based on Directed Hypergraph","display_name":"A Propagation Model of Social Hypernetwork Based on Directed Hypergraph","publication_year":2026,"publication_date":"2026-04-09","ids":{"openalex":"https://openalex.org/W7152599020","doi":"https://doi.org/10.3390/e28040420","pmid":"https://pubmed.ncbi.nlm.nih.gov/42072545"},"language":"en","primary_location":{"id":"doi:10.3390/e28040420","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e28040420","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/e28040420","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5133290241","display_name":"Lu Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lu Yang","raw_affiliation_strings":["School of Computer, Qinghai Normal University, Xining 810008, China","The State Key Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810008, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer, Qinghai Normal University, Xining 810008, China","institution_ids":["https://openalex.org/I20616075"]},{"raw_affiliation_string":"The State Key Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810008, China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133310461","display_name":"Peng-Yue Li","orcid":null},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peng-Yue Li","raw_affiliation_strings":["School of Computer, Qinghai Normal University, Xining 810008, China","The State Key Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810008, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer, Qinghai Normal University, Xining 810008, China","institution_ids":["https://openalex.org/I20616075"]},{"raw_affiliation_string":"The State Key Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810008, China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045081547","display_name":"Feng Hu","orcid":"https://orcid.org/0000-0002-7016-6781"},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Feng Hu","raw_affiliation_strings":["School of Computer, Qinghai Normal University, Xining 810008, China","The State Key Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810008, China"],"raw_orcid":"https://orcid.org/0000-0002-7016-6781","affiliations":[{"raw_affiliation_string":"School of Computer, Qinghai Normal University, Xining 810008, China","institution_ids":["https://openalex.org/I20616075"]},{"raw_affiliation_string":"The State Key Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810008, China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100459168","display_name":"Zheng Zhang","orcid":"https://orcid.org/0000-0003-1470-6998"},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zi-Ke Zhang","raw_affiliation_strings":["Center for Digital Communication Studies, Zhejiang University, Hangzhou 310058, China","School of Computer, Qinghai Normal University, Xining 810008, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Digital Communication Studies, Zhejiang University, Hangzhou 310058, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"School of Computer, Qinghai Normal University, Xining 810008, China","institution_ids":["https://openalex.org/I20616075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045081547"],"corresponding_institution_ids":["https://openalex.org/I20616075"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.42921658,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"4","first_page":"420","last_page":"420"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.914900004863739,"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":0.914900004863739,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.027899999171495438,"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/T13283","display_name":"Mental Health Research Topics","score":0.007199999876320362,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.7139999866485596},{"id":"https://openalex.org/keywords/information-flow","display_name":"Information flow","score":0.5480999946594238},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5349000096321106},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.49239999055862427},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.4408000111579895},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4172999858856201},{"id":"https://openalex.org/keywords/mechanism","display_name":"Mechanism (biology)","score":0.40689998865127563},{"id":"https://openalex.org/keywords/correlative","display_name":"Correlative","score":0.3481999933719635},{"id":"https://openalex.org/keywords/attenuation","display_name":"Attenuation","score":0.34450000524520874}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.7139999866485596},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7042999863624573},{"id":"https://openalex.org/C2779136372","wikidata":"https://www.wikidata.org/wiki/Q10283002","display_name":"Information flow","level":2,"score":0.5480999946594238},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5349000096321106},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5203999876976013},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.49239999055862427},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.4408000111579895},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4172999858856201},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.40689998865127563},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3675999939441681},{"id":"https://openalex.org/C2776800370","wikidata":"https://www.wikidata.org/wiki/Q5172864","display_name":"Correlative","level":2,"score":0.3481999933719635},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.34459999203681946},{"id":"https://openalex.org/C184652730","wikidata":"https://www.wikidata.org/wiki/Q2357982","display_name":"Attenuation","level":2,"score":0.34450000524520874},{"id":"https://openalex.org/C4727928","wikidata":"https://www.wikidata.org/wiki/Q17164759","display_name":"Social network (sociolinguistics)","level":3,"score":0.32580000162124634},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.32350000739097595},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31850001215934753},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.3100000023841858},{"id":"https://openalex.org/C155032097","wikidata":"https://www.wikidata.org/wiki/Q798503","display_name":"Backpropagation","level":3,"score":0.3068999946117401},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.3021000027656555},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.29840001463890076},{"id":"https://openalex.org/C87868495","wikidata":"https://www.wikidata.org/wiki/Q750843","display_name":"Information processing","level":2,"score":0.2930999994277954},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.289900004863739},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.28619998693466187},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.27970001101493835},{"id":"https://openalex.org/C14166107","wikidata":"https://www.wikidata.org/wiki/Q253829","display_name":"Net (polyhedron)","level":2,"score":0.27489998936653137},{"id":"https://openalex.org/C17209119","wikidata":"https://www.wikidata.org/wiki/Q5596712","display_name":"Granular computing","level":3,"score":0.2612000107765198},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.2533000111579895}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e28040420","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e28040420","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:42072545","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/42072545","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:e36faba8c41d4fcc8eda23455903e443","is_oa":true,"landing_page_url":"https://doaj.org/article/e36faba8c41d4fcc8eda23455903e443","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 28, Iss 4, p 420 (2026)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:13115096","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC13115096/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e28040420","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e28040420","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3761088587","display_name":null,"funder_award_id":"2025JZDZ008","funder_id":"https://openalex.org/F4320320751","funder_display_name":"Ministry of Education - Singapore"},{"id":"https://openalex.org/G4511606580","display_name":null,"funder_award_id":"72371224","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5607271084","display_name":null,"funder_award_id":"62566052","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320320751","display_name":"Ministry of Education - Singapore","ror":"https://ror.org/01kcva023"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1968067471","https://openalex.org/W2051510684","https://openalex.org/W2112660220","https://openalex.org/W2318804430","https://openalex.org/W2860429850","https://openalex.org/W2968078309","https://openalex.org/W3011133285","https://openalex.org/W3047309339","https://openalex.org/W4307953447","https://openalex.org/W4384558116","https://openalex.org/W4385664599","https://openalex.org/W4388648110","https://openalex.org/W4391767150","https://openalex.org/W4401284966","https://openalex.org/W4408185268","https://openalex.org/W4409310166","https://openalex.org/W4409626466","https://openalex.org/W4416389585"],"related_works":[],"abstract_inverted_index":{"In":[0,126],"the":[1,18,32,44,49,57,75,83,97,104,112,116,120,128,131,138,148,160,177,183,203],"existing":[2],"research":[3],"on":[4,31],"information":[5,45,105,124,166,184],"propagation":[6,53,63,106,152,185],"modeling":[7],"in":[8,42,70,96,153,190],"social":[9,61,90,192],"networks,":[10,193],"hypergraphs":[11,118],"have":[12],"been":[13],"widely":[14],"applied":[15],"to":[16,39,181],"characterize":[17],"high-order":[19],"interaction":[20],"relationships":[21,91],"involving":[22],"multiple":[23],"nodes.":[24],"However,":[25],"most":[26],"models":[27],"are":[28,168],"still":[29],"based":[30],"assumption":[33],"of":[34,52,89,103,115,123,130,140,151,162,207],"undirected":[35],"connections,":[36],"which":[37],"leads":[38],"certain":[40],"limitations":[41],"depicting":[43],"flow":[46],"direction":[47],"and":[48,79,99,147,165,187,194,199,205],"structural":[50],"characteristics":[51,150,189],"chains.":[54],"To":[55],"address":[56],"above":[58],"problems,":[59],"a":[60,100],"hypernetwork":[62],"model":[64,133,178],"with":[65,82,119],"directional":[66],"constraints":[67],"is":[68,92,108,134,179],"constructed":[69],"this":[71],"paper":[72],"by":[73,94,110,136],"introducing":[74],"directed":[76,117],"hypergraph":[77],"structure":[78],"combining":[80],"it":[81],"improved":[84],"SEIR":[85],"model.":[86],"The":[87,173],"strength":[88],"measured":[93],"intimacy":[95],"model,":[98],"comprehensive":[101],"characterization":[102],"process":[107],"achieved":[109],"integrating":[111],"threshold":[113],"mechanism":[114],"attenuation":[121],"function":[122],"timeliness.":[125],"addition,":[127],"effectiveness":[129],"proposed":[132],"verified":[135],"taking":[137],"event":[139],"\"imposing":[141],"additional":[142],"tariffs\"":[143],"as":[144,157,159],"an":[145],"example,":[146],"evolutionary":[149],"different":[154],"network":[155,208],"structures,":[156],"well":[158],"impacts":[161],"user":[163],"confidence":[164],"timeliness,":[167],"analyzed":[169],"using":[170],"simulation":[171],"experiments.":[172],"results":[174],"indicate":[175],"that":[176],"applicable":[180],"characterizing":[182],"trends":[186],"dynamic":[188],"real":[191],"can":[195],"provide":[196],"theoretical":[197],"references":[198],"methodological":[200],"support":[201],"for":[202],"prediction":[204],"regulation":[206],"public":[209],"opinion.":[210]},"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2026-04-10T00:00:00"}