{"id":"https://openalex.org/W2808391510","doi":"https://doi.org/10.1155/2019/6352657","title":"The Bass Diffusion Model on Finite Barabasi\u2010Albert Networks","display_name":"The Bass Diffusion Model on Finite Barabasi\u2010Albert Networks","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2808391510","doi":"https://doi.org/10.1155/2019/6352657","mag":"2808391510"},"language":"en","primary_location":{"id":"doi:10.1155/2019/6352657","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6352657","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/6352657.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2019/6352657.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"M. L. Bertotti","orcid":"https://orcid.org/0000-0001-6086-8395"},"institutions":[{"id":"https://openalex.org/I171543936","display_name":"Free University of Bozen-Bolzano","ror":"https://ror.org/012ajp527","country_code":"IT","type":"education","lineage":["https://openalex.org/I171543936"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"M. L. Bertotti","raw_affiliation_strings":["Free University of Bolzano-Bozen, Faculty of Science and Technology, 39100 Bolzano, Italy"],"affiliations":[{"raw_affiliation_string":"Free University of Bolzano-Bozen, Faculty of Science and Technology, 39100 Bolzano, Italy","institution_ids":["https://openalex.org/I171543936"]}]},{"author_position":"last","author":{"id":null,"display_name":"G. Modanese","orcid":"https://orcid.org/0000-0003-4302-2966"},"institutions":[{"id":"https://openalex.org/I171543936","display_name":"Free University of Bozen-Bolzano","ror":"https://ror.org/012ajp527","country_code":"IT","type":"education","lineage":["https://openalex.org/I171543936"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. Modanese","raw_affiliation_strings":["Free University of Bolzano-Bozen, Faculty of Science and Technology, 39100 Bolzano, Italy"],"affiliations":[{"raw_affiliation_string":"Free University of Bolzano-Bozen, Faculty of Science and Technology, 39100 Bolzano, Italy","institution_ids":["https://openalex.org/I171543936"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I171543936"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":2.058,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.87104623,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2019","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12659","display_name":"Innovation Diffusion and Forecasting","score":0.6610000133514404,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12659","display_name":"Innovation Diffusion and Forecasting","score":0.6610000133514404,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.21469999849796295,"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":0.05130000039935112,"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/assortativity","display_name":"Assortativity","score":0.8614000082015991},{"id":"https://openalex.org/keywords/uncorrelated","display_name":"Uncorrelated","score":0.588100016117096},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5767999887466431},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5457000136375427},{"id":"https://openalex.org/keywords/bass","display_name":"Bass (fish)","score":0.49889999628067017},{"id":"https://openalex.org/keywords/diffusion-process","display_name":"Diffusion process","score":0.49729999899864197},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.41350001096725464}],"concepts":[{"id":"https://openalex.org/C89694873","wikidata":"https://www.wikidata.org/wiki/Q4810299","display_name":"Assortativity","level":3,"score":0.8614000082015991},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5968000292778015},{"id":"https://openalex.org/C169345407","wikidata":"https://www.wikidata.org/wiki/Q8216221","display_name":"Uncorrelated","level":2,"score":0.588100016117096},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5767999887466431},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.565500020980835},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5457000136375427},{"id":"https://openalex.org/C2777182073","wikidata":"https://www.wikidata.org/wiki/Q1224135","display_name":"Bass (fish)","level":2,"score":0.49889999628067017},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.49729999899864197},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.41350001096725464},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.41260001063346863},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.3959999978542328},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.33160001039505005},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.3027999997138977},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.29760000109672546},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.289900004863739},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.2791999876499176},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2721000015735626},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.2703000009059906},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2662999927997589}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2019/6352657","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6352657","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/6352657.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1806.05959","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1806.05959","pdf_url":"https://arxiv.org/pdf/1806.05959","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:alma.39UBZ_INST:11235162490001241","is_oa":false,"landing_page_url":"https://www.hindawi.com/journals/complexity/2019/6352657/abs/","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:c0adf7fdb59941e594e690c328eeb49c","is_oa":true,"landing_page_url":"https://doaj.org/article/c0adf7fdb59941e594e690c328eeb49c","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/6352657","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6352657","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/6352657.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320325400","display_name":"Libera Universit\u00e0 di Bolzano","ror":"https://ror.org/012ajp527"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2808391510.pdf","grobid_xml":"https://content.openalex.org/works/W2808391510.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1662354194","https://openalex.org/W1878853999","https://openalex.org/W1932416503","https://openalex.org/W1985952539","https://openalex.org/W1992021819","https://openalex.org/W1992441697","https://openalex.org/W2008156351","https://openalex.org/W2008620264","https://openalex.org/W2011537561","https://openalex.org/W2013497788","https://openalex.org/W2013920226","https://openalex.org/W2023968886","https://openalex.org/W2033193852","https://openalex.org/W2037881439","https://openalex.org/W2038063928","https://openalex.org/W2040956707","https://openalex.org/W2059239694","https://openalex.org/W2067190946","https://openalex.org/W2073627497","https://openalex.org/W2096296558","https://openalex.org/W2129315144","https://openalex.org/W2136525561","https://openalex.org/W2136931666","https://openalex.org/W2143855192","https://openalex.org/W2148606196","https://openalex.org/W2154177180","https://openalex.org/W2296688149","https://openalex.org/W2411065520","https://openalex.org/W2556948900","https://openalex.org/W2792828486","https://openalex.org/W3103633829","https://openalex.org/W4238452917"],"related_works":[],"abstract_inverted_index":{"Using":[0],"a":[1,81,88,112,146,154,184,188],"heterogeneous":[2],"mean\u2010field":[3],"network":[4,189],"formulation":[5],"of":[6,20,27,91,97,115,127,139],"the":[7,17,25,28,41,57,62,95,98,118,125,128,136,140,151,159,162,166,181],"Bass":[8,160],"innovation":[9],"diffusion":[10,29,73,141,167],"model":[11,60],"and":[12,31,121,172],"recent":[13],"exact":[14],"results":[15,52],"on":[16,36,75,124,150,187],"degree":[18],"correlations":[19],"Barabasi\u2010Albert":[21,77],"networks,":[22],"we":[23],"compute":[24],"times":[26,74,168],"peak":[30],"compare":[32,50],"them":[33],"with":[34,53,61,190],"those":[35,54],"scale\u2010free":[37,43],"networks":[38,78,171,174],"which":[39],"have":[40],"same":[42],"exponent":[44],"but":[45],"different":[46],"assortativity":[47,99],"properties.":[48],"We":[49,131],"our":[51],"obtained":[55],"for":[56,169,179],"SIS":[58],"epidemic":[59],"spectral":[63],"method":[64],"applied":[65],"to":[66,87,103],"adjacency":[67],"matrices.":[68],"It":[69],"turns":[70],"out":[71],"that":[72,134],"finite":[76],"are":[79],"at":[80],"minimum.":[82],"This":[83],"may":[84],"be":[85],"due":[86],"little\u2010known":[89],"property":[90],"these":[92],"networks:":[93],"whereas":[94],"value":[96],"coefficient":[100],"is":[101,143,175],"close":[102],"zero,":[104],"they":[105],"look":[106],"disassortative":[107],"if":[108,135],"one":[109],"considers":[110],"only":[111],"bounded":[113],"range":[114,126],"degrees,":[116],"including":[117],"smallest":[119],"ones,":[120],"slightly":[122],"assortative":[123],"higher":[129],"degrees.":[130],"also":[132],"find":[133],"trickle\u2010down":[137],"character":[138],"process":[142],"enhanced":[144],"by":[145],"larger":[147],"initial":[148],"stimulus":[149],"hubs":[152],"(via":[153],"inhomogeneous":[155],"linear":[156],"term":[157],"in":[158,183],"model),":[161],"relative":[163],"difference":[164],"between":[165],"BA":[170],"uncorrelated":[173],"even":[176],"larger,":[177],"reaching,":[178],"instance,":[180],"34%":[182],"typical":[185],"case":[186],"10":[191],"4":[192],"nodes.":[193]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2018-06-21T00:00:00"}
