{"id":"https://openalex.org/W4404141237","doi":"https://doi.org/10.3390/e26110957","title":"Information Propagation in Hypergraph-Based Social Networks","display_name":"Information Propagation in Hypergraph-Based Social Networks","publication_year":2024,"publication_date":"2024-11-06","ids":{"openalex":"https://openalex.org/W4404141237","doi":"https://doi.org/10.3390/e26110957","pmid":"https://pubmed.ncbi.nlm.nih.gov/39593902"},"language":"en","primary_location":{"id":"doi:10.3390/e26110957","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26110957","pdf_url":"https://www.mdpi.com/1099-4300/26/11/957/pdf?version=1730957679","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://www.mdpi.com/1099-4300/26/11/957/pdf?version=1730957679","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Hai-Bing Xiao","orcid":"https://orcid.org/0009-0002-9245-5688"},"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":"Hai-Bing Xiao","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/0009-0002-9245-5688","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":"middle","author":{"id":"https://openalex.org/A5078732729","display_name":"Pengyue Li","orcid":"https://orcid.org/0009-0008-3097-112X"},"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":"https://orcid.org/0009-0008-3097-112X","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/A5024193112","display_name":"Yurong Song","orcid":"https://orcid.org/0000-0002-5827-4413"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu-Rong Song","raw_affiliation_strings":["College of Automation & College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing 210023, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Automation & College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing 210023, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062300084","display_name":"Zi\u2010Ke Zhang","orcid":"https://orcid.org/0000-0002-6203-7621"},"institutions":[{"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":true,"raw_author_name":"Zi-Ke Zhang","raw_affiliation_strings":["Center for Digital Communication Studies, Zhejiang University, Hangzhou 310058, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Digital Communication Studies, Zhejiang University, Hangzhou 310058, China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045081547","https://openalex.org/A5062300084"],"corresponding_institution_ids":["https://openalex.org/I20616075","https://openalex.org/I76130692"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":3.6524,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.9403218,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"26","issue":"11","first_page":"957","last_page":"957"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9997000098228455,"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/T10742","display_name":"Peer-to-Peer Network Technologies","score":0.9713000059127808,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/computer-science","display_name":"Computer science","score":0.7685500383377075},{"id":"https://openalex.org/keywords/dissemination","display_name":"Dissemination","score":0.7681176662445068},{"id":"https://openalex.org/keywords/information-dissemination","display_name":"Information Dissemination","score":0.6786997318267822},{"id":"https://openalex.org/keywords/rumor","display_name":"Rumor","score":0.6432062983512878},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.5264530777931213},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4828410744667053},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4661392569541931},{"id":"https://openalex.org/keywords/data-science","display_name":"Data science","score":0.4477628171443939},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.4375920593738556},{"id":"https://openalex.org/keywords/social-media","display_name":"Social media","score":0.4300580620765686},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.427776962518692},{"id":"https://openalex.org/keywords/social-network","display_name":"Social network (sociolinguistics)","score":0.4242447316646576},{"id":"https://openalex.org/keywords/information-exchange","display_name":"Information exchange","score":0.4110882580280304},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3452451825141907},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.34301283955574036},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.2420535683631897},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.19860684871673584},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.10682505369186401}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7685500383377075},{"id":"https://openalex.org/C101780184","wikidata":"https://www.wikidata.org/wiki/Q840576","display_name":"Dissemination","level":2,"score":0.7681176662445068},{"id":"https://openalex.org/C2779494480","wikidata":"https://www.wikidata.org/wiki/Q188728","display_name":"Information Dissemination","level":2,"score":0.6786997318267822},{"id":"https://openalex.org/C2780469804","wikidata":"https://www.wikidata.org/wiki/Q878352","display_name":"Rumor","level":2,"score":0.6432062983512878},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.5264530777931213},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4828410744667053},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4661392569541931},{"id":"https://openalex.org/C2522767166","wikidata":"https://www.wikidata.org/wiki/Q2374463","display_name":"Data science","level":1,"score":0.4477628171443939},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.4375920593738556},{"id":"https://openalex.org/C518677369","wikidata":"https://www.wikidata.org/wiki/Q202833","display_name":"Social media","level":2,"score":0.4300580620765686},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.427776962518692},{"id":"https://openalex.org/C4727928","wikidata":"https://www.wikidata.org/wiki/Q17164759","display_name":"Social network (sociolinguistics)","level":3,"score":0.4242447316646576},{"id":"https://openalex.org/C189693848","wikidata":"https://www.wikidata.org/wiki/Q6031064","display_name":"Information exchange","level":2,"score":0.4110882580280304},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3452451825141907},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.34301283955574036},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2420535683631897},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.19860684871673584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.10682505369186401},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C39549134","wikidata":"https://www.wikidata.org/wiki/Q133080","display_name":"Public relations","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e26110957","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26110957","pdf_url":"https://www.mdpi.com/1099-4300/26/11/957/pdf?version=1730957679","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:39593902","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39593902","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:pubmedcentral.nih.gov:11593332","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11593332","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11593332/pdf/entropy-26-00957.pdf","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"},{"id":"pmh:oai:doaj.org/article:0d5646ded55f4c659be0330e89723206","is_oa":false,"landing_page_url":"https://doaj.org/article/0d5646ded55f4c659be0330e89723206","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 26, Iss 11, p 957 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e26110957","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26110957","pdf_url":"https://www.mdpi.com/1099-4300/26/11/957/pdf?version=1730957679","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":[{"id":"https://metadata.un.org/sdg/16","score":0.4300000071525574,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1700944969","display_name":null,"funder_award_id":"2023-ZJ-916M","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G1859686004","display_name":null,"funder_award_id":"22JJD860003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"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/G5334367805","display_name":"\u975e\u5747\u5300\u8d85\u7f51\u7edc\u6a21\u578b\u6784\u5efa\u53ca\u7279\u6027\u7814\u7a76","funder_award_id":"61663041","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5413424198","display_name":null,"funder_award_id":"[2024]1","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6358047238","display_name":null,"funder_award_id":"[2024]1","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6556788034","display_name":null,"funder_award_id":"61663041","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6886143538","display_name":null,"funder_award_id":"22JJD860003","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G734444875","display_name":null,"funder_award_id":"72371224","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7942711316","display_name":null,"funder_award_id":"2023-ZJ-916M","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"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":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404141237.pdf"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W103340358","https://openalex.org/W1970736635","https://openalex.org/W1979603873","https://openalex.org/W2010496675","https://openalex.org/W2061820396","https://openalex.org/W2077743232","https://openalex.org/W2113977104","https://openalex.org/W2318804430","https://openalex.org/W2411723768","https://openalex.org/W2557005867","https://openalex.org/W2758364315","https://openalex.org/W2911286998","https://openalex.org/W2939506735","https://openalex.org/W2982321177","https://openalex.org/W2985597292","https://openalex.org/W2996147641","https://openalex.org/W3016781307","https://openalex.org/W3033740996","https://openalex.org/W3047627040","https://openalex.org/W3081101222","https://openalex.org/W3088609916","https://openalex.org/W3099626846","https://openalex.org/W3101372517","https://openalex.org/W3109704616","https://openalex.org/W3125011703","https://openalex.org/W3160872503","https://openalex.org/W3173887542","https://openalex.org/W4295733111","https://openalex.org/W4304688908","https://openalex.org/W4310861926","https://openalex.org/W4311705670","https://openalex.org/W4320082122","https://openalex.org/W4376875548","https://openalex.org/W4380630203","https://openalex.org/W4380787060","https://openalex.org/W4392987091","https://openalex.org/W4398172031","https://openalex.org/W4402371646","https://openalex.org/W6846666996","https://openalex.org/W6868230982"],"related_works":["https://openalex.org/W2372853429","https://openalex.org/W2954128454","https://openalex.org/W2898940193","https://openalex.org/W4313047566","https://openalex.org/W2048238760","https://openalex.org/W4292661052","https://openalex.org/W4307988456","https://openalex.org/W4382752000","https://openalex.org/W2282008428","https://openalex.org/W2114097100"],"abstract_inverted_index":{"Social":[0],"networks,":[1],"functioning":[2],"as":[3,210],"core":[4],"platforms":[5],"for":[6,50,206],"modern":[7],"information":[8,25,44,81,170,182,197],"dissemination,":[9,212],"manifest":[10],"distinctive":[11],"user":[12],"clustering":[13],"behaviors":[14],"and":[15,73,90,100,140,164,216],"state":[16,68],"transition":[17],"mechanisms,":[18],"thereby":[19],"presenting":[20],"new":[21],"challenges":[22],"to":[23],"traditional":[24,36,65,80],"propagation":[26],"models.":[27],"Based":[28],"on":[29,149],"hypergraph":[30],"theory,":[31,110],"this":[32,111],"paper":[33,112],"augments":[34],"the":[35,64,98,119,123,129,157,166,177,193],"SEIR":[37],"model":[38,47,55,130,159],"by":[39,146],"introducing":[40],"a":[41,114,202],"novel":[42],"hypernetwork":[43,173],"dissemination":[45,82,99,120,171,183,198],"SSEIR":[46,124,158],"specifically":[48],"designed":[49],"online":[51,104,185,220],"social":[52,105,186,221],"networks.":[53,106,222],"This":[54,188],"accurately":[56],"represents":[57],"complex,":[58],"multi-user,":[59],"high-order":[60],"interactions.":[61],"It":[62],"transforms":[63],"single":[66],"susceptible":[67],"(S)":[69],"into":[70],"active":[71],"(Sa)":[72],"inactive":[74],"(Si)":[75],"states.":[76],"Additionally,":[77],"it":[78],"enhances":[79],"mechanisms":[83,121,168],"through":[84,137],"reaction":[85],"process":[86],"strategies":[87],"(RP":[88],"strategies)":[89],"formulates":[91],"refined":[92],"differential":[93],"dynamical":[94],"equations,":[95],"effectively":[96],"simulating":[97],"diffusion":[101],"processes":[102],"in":[103,131,161,184,219],"Employing":[107],"mean":[108],"field":[109],"conducts":[113],"comprehensive":[115],"theoretical":[116,194,204],"derivation":[117],"of":[118,128,169,181,196],"within":[122,172],"model.":[125],"The":[126,153],"effectiveness":[127],"various":[132],"network":[133,151],"structures":[134],"was":[135,143],"verified":[136],"simulation":[138],"experiments,":[139],"its":[141,147],"practicality":[142],"further":[144,175],"validated":[145],"application":[148],"real":[150],"datasets.":[152],"results":[154],"show":[155],"that":[156],"excels":[160],"data":[162],"fitting":[163],"illustrating":[165],"internal":[167],"structures,":[174],"clarifying":[176],"dynamic":[178],"evolutionary":[179],"patterns":[180],"hypernetworks.":[187],"study":[189],"not":[190],"only":[191],"enriches":[192],"framework":[195],"but":[199],"also":[200],"provides":[201],"scientific":[203],"foundation":[205],"practical":[207],"applications":[208],"such":[209],"news":[211],"public":[213],"opinion":[214],"management,":[215],"rumor":[217],"monitoring":[218]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-25T09:21:30.201066","created_date":"2025-10-10T00:00:00"}
