{"id":"https://openalex.org/W2016552728","doi":"https://doi.org/10.1109/acc.2013.6580178","title":"Effect of coupling on the epidemic threshold in interconnected complex networks: A spectral analysis","display_name":"Effect of coupling on the epidemic threshold in interconnected complex networks: A spectral analysis","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2016552728","doi":"https://doi.org/10.1109/acc.2013.6580178","mag":"2016552728"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2013.6580178","doi":"https://doi.org/10.1109/acc.2013.6580178","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580178","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1212.4194","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083767818","display_name":"Faryad Darabi Sahneh","orcid":"https://orcid.org/0000-0003-2521-4331","observed_orcids":["https://orcid.org/0000-0003-2521-4331"]},"institutions":[{"id":"https://openalex.org/I189590672","display_name":"Kansas State University","ror":"https://ror.org/05p1j8758","country_code":"US","type":"education","lineage":["https://openalex.org/I189590672"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Faryad Darabi Sahneh","raw_affiliation_strings":["Kansas State University, Manhattan, KS, US","Dept. of Electr. & Comput. Eng., Kansas State Univ., Manhattan, KS, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kansas State University, Manhattan, KS, US","institution_ids":["https://openalex.org/I189590672"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Kansas State Univ., Manhattan, KS, USA","institution_ids":["https://openalex.org/I189590672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012657096","display_name":"Caterina Scoglio","orcid":"https://orcid.org/0000-0003-4486-9229","observed_orcids":["https://orcid.org/0000-0003-4486-9229"]},"institutions":[{"id":"https://openalex.org/I189590672","display_name":"Kansas State University","ror":"https://ror.org/05p1j8758","country_code":"US","type":"education","lineage":["https://openalex.org/I189590672"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Caterina Scoglio","raw_affiliation_strings":["Kansas State University, Manhattan, KS, US","Dept. of Electr. & Comput. Eng., Kansas State Univ., Manhattan, KS, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kansas State University, Manhattan, KS, US","institution_ids":["https://openalex.org/I189590672"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Kansas State Univ., Manhattan, KS, USA","institution_ids":["https://openalex.org/I189590672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110263648","display_name":"Fahmida N. Chowdhury","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1311060795","display_name":"U.S. National Science Foundation","ror":"https://ror.org/021nxhr62","country_code":"US","type":"government","lineage":["https://openalex.org/I1311060795"]},{"id":"https://openalex.org/I4210134327","display_name":"Directorate for Social, Behavioral & Economic Sciences","ror":"https://ror.org/03h7mcc28","country_code":"US","type":"government","lineage":["https://openalex.org/I1311060795","https://openalex.org/I4210134327"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fahmida N. Chowdhury","raw_affiliation_strings":["National Science Foundation, Arlington, VA, US","Directorate for Social, Behavioral & Econ. Sci., Nat. Sci. Found., Arlington, VA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Science Foundation, Arlington, VA, US","institution_ids":["https://openalex.org/I1311060795"]},{"raw_affiliation_string":"Directorate for Social, Behavioral & Econ. Sci., Nat. Sci. Found., Arlington, VA, USA","institution_ids":["https://openalex.org/I4210134327"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.4377,"has_fulltext":true,"cited_by_count":46,"citation_normalized_percentile":{"value":0.9607438,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"2307","last_page":"2312"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.7705000042915344,"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":0.7705000042915344,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.22789999842643738,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/epidemic-threshold","display_name":"epidemic threshold","score":1.0},{"id":"https://openalex.org/keywords/sis-model","display_name":"SIS epidemic model","score":0.8169999718666077},{"id":"https://openalex.org/keywords/network-coupling","display_name":"network coupling","score":0.6919999718666077},{"id":"https://openalex.org/keywords/spectral-radius","display_name":"spectral radius","score":0.906000018119812},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"adjacency matrix","score":0.7459999918937683},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"bifurcation theory","score":0.7670000195503235},{"id":"https://openalex.org/keywords/interconnection-network-topology","display_name":"interconnection topology","score":0.7360000014305115},{"id":"https://openalex.org/keywords/epidemic-control","display_name":"epidemic control","score":0.5299999713897705},{"id":"https://openalex.org/keywords/contact-networks","display_name":"contact networks","score":0.45500001311302185}],"concepts":[{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.7809845209121704},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.5972312688827515},{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.5950362682342529},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5749989748001099},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.5229107737541199},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.5173039436340332},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.5135979652404785},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5089099407196045},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4933454096317291},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4717826545238495},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.43814557790756226},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36462509632110596},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3052259087562561},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1670195460319519},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1583053171634674},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15326333045959473},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1507079303264618},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.13293567299842834},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/acc.2013.6580178","doi":"https://doi.org/10.1109/acc.2013.6580178","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580178","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1212.4194","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1212.4194","pdf_url":"https://arxiv.org/pdf/1212.4194","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},{"id":"mag:2951414671","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1212.4194.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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.1212.4194","doi":"https://doi.org/10.48550/arxiv.1212.4194","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1212.4194","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1212.4194","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1212.4194","pdf_url":"https://arxiv.org/pdf/1212.4194","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2016552728.pdf","grobid_xml":"https://content.openalex.org/works/W2016552728.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W114870970","https://openalex.org/W120418627","https://openalex.org/W1501825524","https://openalex.org/W1595344052","https://openalex.org/W1879056329","https://openalex.org/W1914027636","https://openalex.org/W1968164782","https://openalex.org/W1980392774","https://openalex.org/W2005641459","https://openalex.org/W2017990598","https://openalex.org/W2034903570","https://openalex.org/W2043793275","https://openalex.org/W2051600066","https://openalex.org/W2052838081","https://openalex.org/W2060045714","https://openalex.org/W2087247364","https://openalex.org/W2101267973","https://openalex.org/W2103848940","https://openalex.org/W2107100412","https://openalex.org/W2118820208","https://openalex.org/W2129004493","https://openalex.org/W2136525561","https://openalex.org/W2138425756","https://openalex.org/W2149527103","https://openalex.org/W2166996117","https://openalex.org/W2320448585","https://openalex.org/W2322204917","https://openalex.org/W2963189929","https://openalex.org/W3103141125"],"related_works":["https://openalex.org/W2067268428","https://openalex.org/W2009329059","https://openalex.org/W4401953494","https://openalex.org/W4406421089","https://openalex.org/W2593940606","https://openalex.org/W2592775921","https://openalex.org/W2060589765","https://openalex.org/W2963189929","https://openalex.org/W2048186046","https://openalex.org/W2488136915"],"abstract_inverted_index":{"In":[0,94],"epidemic":[1,21,26,46,106,133,180],"spreading":[2,100],"models,":[3],"if":[4],"the":[5,20,25,29,37,41,45,54,57,61,91,99,132,142,146,176],"infection":[6,143],"strength":[7,144],"is":[8,71,80],"higher":[9],"than":[10],"a":[11,32,66,76,103,139,161],"certain":[12],"critical":[13],"value":[14],"-":[15,23],"which":[16,87],"we":[17,97,130],"define":[18],"as":[19,138],"threshold":[22,47,134],"then":[24],"spreads":[27],"through":[28],"population.":[30],"For":[31],"single":[33],"arbitrary":[34],"graph":[35,128,155],"representing":[36],"contact":[38,62,92],"network":[39,111,137,149],"of":[40,56,60,102,112,135,141,145,153,179],"population":[42,77],"under":[43],"consideration,":[44],"turns":[48],"out":[49],"to":[50,53,74,164],"be":[51],"equal":[52],"inverse":[55],"spectral":[58,127],"radius":[59],"graph.":[63],"However,":[64],"in":[65,108],"real":[67],"world":[68],"scenario,":[69],"it":[70],"not":[72],"possible":[73],"isolate":[75],"completely:":[78],"there":[79],"always":[81],"some":[82],"interconnection":[83,118,169],"with":[84,90,116],"another":[85],"network,":[86],"partially":[88],"overlaps":[89],"network.":[93],"this":[95],"paper,":[96],"study":[98],"process":[101],"susceptible-infected-susceptible":[104],"(SIS)":[105],"model":[107],"an":[109],"interconnected":[110],"two":[113],"generic":[114,117],"graphs":[115],"and":[119,126,150,156,159,167,182],"different":[120],"epidemic-related":[121],"parameters.":[122],"Using":[123],"bifurcation":[124],"theory":[125],"theory,":[129],"find":[131],"one":[136],"function":[140],"other":[147],"coupled":[148],"adjacency":[151],"matrices":[152],"each":[154],"their":[157],"interconnection,":[158],"provide":[160],"quantitative":[162],"measure":[163],"distinguish":[165],"weak":[166],"strong":[168],"topology.":[170],"These":[171],"results":[172],"have":[173],"implications":[174],"for":[175],"broad":[177],"field":[178],"modeling":[181],"control.":[183]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}