{"id":"https://openalex.org/W2300084371","doi":"https://doi.org/10.1109/cdc.2016.7798804","title":"Improved bounds on the epidemic threshold of exact SIS models on complex networks","display_name":"Improved bounds on the epidemic threshold of exact SIS models on complex networks","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2300084371","doi":"https://doi.org/10.1109/cdc.2016.7798804","mag":"2300084371"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2016.7798804","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798804","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1603.05095","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005748450","display_name":"Navid Azizan","orcid":"https://orcid.org/0000-0002-4299-2963"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Navid Azizan Ruhi","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA"],"affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024812488","display_name":"Christos Thrampoulidis","orcid":"https://orcid.org/0000-0001-9053-9365"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christos Thrampoulidis","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA"],"affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002430773","display_name":"Babak Hassibi","orcid":"https://orcid.org/0000-0002-1375-5838"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Babak Hassibi","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA"],"affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005748450"],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":1.3542,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.81241571,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"3560","last_page":"3565"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9941999912261963,"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":0.9861000180244446,"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/adjacency-matrix","display_name":"Adjacency matrix","score":0.692821204662323},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6325477361679077},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6218786835670471},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6015254259109497},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5701417922973633},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.55887371301651},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.5424535870552063},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.5121936202049255},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.49597224593162537},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4520901143550873},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.43686628341674805},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3731623888015747},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33366310596466064},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18259698152542114},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1509423553943634},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11978527903556824},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.08914434909820557}],"concepts":[{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.692821204662323},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6325477361679077},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6218786835670471},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6015254259109497},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5701417922973633},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.55887371301651},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.5424535870552063},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.5121936202049255},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.49597224593162537},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4520901143550873},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.43686628341674805},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3731623888015747},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33366310596466064},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18259698152542114},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1509423553943634},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11978527903556824},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.08914434909820557},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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/cdc.2016.7798804","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798804","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1603.05095","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1603.05095","pdf_url":"https://arxiv.org/pdf/1603.05095","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":null,"raw_type":"text"},{"id":"pmh:oai:authors.library.caltech.edu:73309","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20170106-135044789","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"},{"id":"pmh:oai:repository.kaust.edu.sa:10754/623556","is_oa":false,"landing_page_url":"http://hdl.handle.net/10754/623556","pdf_url":null,"source":{"id":"https://openalex.org/S4306401596","display_name":"King Abdullah University of Science and Technology Repository (King Abdullah University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71920554","host_organization_name":"King Abdullah University of Science and Technology","host_organization_lineage":["https://openalex.org/I71920554"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1603.05095","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1603.05095","pdf_url":"https://arxiv.org/pdf/1603.05095","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":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being","score":0.8600000143051147}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W114870970","https://openalex.org/W196409072","https://openalex.org/W1483953177","https://openalex.org/W1544632947","https://openalex.org/W1592657892","https://openalex.org/W1878853999","https://openalex.org/W1926259878","https://openalex.org/W1964869462","https://openalex.org/W1973031742","https://openalex.org/W1989662868","https://openalex.org/W1998224119","https://openalex.org/W2008167229","https://openalex.org/W2056609785","https://openalex.org/W2109480656","https://openalex.org/W2146943142","https://openalex.org/W2320448585","https://openalex.org/W2471517265","https://openalex.org/W2529725662","https://openalex.org/W2963734869","https://openalex.org/W3099401524","https://openalex.org/W3123119789","https://openalex.org/W4293582735"],"related_works":["https://openalex.org/W2487162673","https://openalex.org/W2793211469","https://openalex.org/W2949152769","https://openalex.org/W4372354731","https://openalex.org/W2807634898","https://openalex.org/W1692008701","https://openalex.org/W2942366970","https://openalex.org/W2597588799","https://openalex.org/W4360593462","https://openalex.org/W2562400057"],"abstract_inverted_index":{"The":[0],"SIS":[1,34],"(susceptible-infected-susceptible)":[2],"epidemic":[3,43,202],"model":[4,35],"on":[5,144,160,197],"an":[6,63],"arbitrary":[7],"network,":[8],"without":[9],"making":[10],"approximations,":[11],"is":[12,72,77,83,90,97,107],"a":[13,22,68,133],"2":[14],"<sup":[15],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[16,104],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[17],"-state":[18],"Markov":[19,75],"chain":[20,76],"with":[21,193,200],"unique":[23],"absorbing":[24],"state":[25],"(the":[26],"all-healthy":[27],"state).":[28],"This":[29,116],"makes":[30],"analysis":[31],"of":[32,42,56,70,111,149,177,184],"the":[33,40,52,74,80,91,98,108,112,145,178,182,185,190,194],"and,":[36],"in":[37,127,132],"particular,":[38],"determining":[39],"threshold":[41,118,186],"spread":[44],"quite":[45],"challenging.":[46],"It":[47],"has":[48,119],"been":[49,120],"shown":[50,122],"that":[51,73,169],"exact":[53,146],"marginal":[54,147],"probabilities":[55,148,156],"infection":[57,92,155],"can":[58],"be":[59,125],"upper":[60,142],"bounded":[61],"by":[62,151,188],"n-dimensional":[64],"linear":[65],"time-invariant":[66],"system,":[67],"consequence":[69],"which":[71],"\u201cfast-mixing\u201d":[78],"when":[79,86],"LTI":[81],"system":[82],"stable,":[84],"i.e.":[85],"equation":[87],"(where":[88],"\u03b2":[89],"rate":[93],"per":[94],"link,":[95],"\u03b4":[96],"recovery":[99],"rate,":[100],"and":[101],"\u03bb":[102],"<sub":[103],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">max</sub>":[105],"(A)":[106],"largest":[109],"eigenvalue":[110,167],"network's":[113],"adjacency":[114],"matrix).":[115],"well-known":[117],"recently":[121],"not":[123],"to":[124],"tight":[126],"several":[128],"cases,":[129],"such":[130],"as":[131],"star":[134],"network.":[135],"In":[136],"this":[137,161],"paper,":[138],"we":[139,164],"provide":[140],"tighter":[141,166],"bounds":[143],"infection,":[150],"also":[152],"taking":[153],"pairwise":[154],"into":[157],"account.":[158],"Based":[159],"improved":[162],"bound,":[163],"derive":[165],"conditions":[168],"guarantee":[170],"fast":[171],"mixing":[172,175],"(i.e.,":[173],"logarithmic":[174],"time)":[176],"chain.":[179],"We":[180],"demonstrate":[181],"improvement":[183],"condition":[187],"comparing":[189],"new":[191],"bound":[192],"known":[195],"one":[196],"various":[198,201],"networks":[199],"parameters.":[203]},"counts_by_year":[{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}