{"id":"https://openalex.org/W3172944165","doi":"https://doi.org/10.1109/tkde.2021.3088504","title":"Core Decomposition on Uncertain Graphs Revisited","display_name":"Core Decomposition on Uncertain Graphs Revisited","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3172944165","doi":"https://doi.org/10.1109/tkde.2021.3088504","mag":"3172944165"},"language":"en","primary_location":{"id":"doi:10.1109/tkde.2021.3088504","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2021.3088504","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Knowledge and Data Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030519392","display_name":"Qiangqiang Dai","orcid":"https://orcid.org/0000-0002-8569-6558"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]},{"id":"https://openalex.org/I202334528","display_name":"Beijing Electronic Science and Technology Institute","ror":"https://ror.org/01xdzh226","country_code":"CN","type":"education","lineage":["https://openalex.org/I202334528"]},{"id":"https://openalex.org/I4210117825","display_name":"Beijing Research Institute of Mechanical and Electrical Technology","ror":"https://ror.org/02bjnsn63","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210117825"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiangqiang Dai","raw_affiliation_strings":["School of Computer Science & Technology, Beijing Institute of Technology, 47833 Beijing, Beijing, China, (e-mail: qq_dai@126.com)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science & Technology, Beijing Institute of Technology, 47833 Beijing, Beijing, China, (e-mail: qq_dai@126.com)","institution_ids":["https://openalex.org/I125839683","https://openalex.org/I202334528","https://openalex.org/I4210117825"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100742464","display_name":"Rong-Hua Li","orcid":"https://orcid.org/0000-0001-8658-6599"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]},{"id":"https://openalex.org/I202334528","display_name":"Beijing Electronic Science and Technology Institute","ror":"https://ror.org/01xdzh226","country_code":"CN","type":"education","lineage":["https://openalex.org/I202334528"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ronghua Li","raw_affiliation_strings":["School of Computer Science & Technology, Beijing Institute of Technology, 47833 Beijing, Beijing, China, 100081 (e-mail: lironghuascut@gmail.com)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science & Technology, Beijing Institute of Technology, 47833 Beijing, Beijing, China, 100081 (e-mail: lironghuascut@gmail.com)","institution_ids":["https://openalex.org/I125839683","https://openalex.org/I202334528"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054991337","display_name":"Guoren Wang","orcid":"https://orcid.org/0000-0002-0181-8379"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]},{"id":"https://openalex.org/I202334528","display_name":"Beijing Electronic Science and Technology Institute","ror":"https://ror.org/01xdzh226","country_code":"CN","type":"education","lineage":["https://openalex.org/I202334528"]},{"id":"https://openalex.org/I4210117825","display_name":"Beijing Research Institute of Mechanical and Electrical Technology","ror":"https://ror.org/02bjnsn63","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210117825"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guoren Wang","raw_affiliation_strings":["School of Computer Science & Technology, Beijing Institute of Technology, 47833 Beijing, Beijing, China, (e-mail: wanggrbit@126.com)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science & Technology, Beijing Institute of Technology, 47833 Beijing, Beijing, China, (e-mail: wanggrbit@126.com)","institution_ids":["https://openalex.org/I125839683","https://openalex.org/I202334528","https://openalex.org/I4210117825"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101724957","display_name":"Rui Mao","orcid":"https://orcid.org/0000-0002-3645-5520"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Mao","raw_affiliation_strings":["College of Computer Science and Software Engineering, Shenzhen University, Shenzhen, Guangdong, China, (e-mail: mao@szu.edu.cn)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science and Software Engineering, Shenzhen University, Shenzhen, Guangdong, China, (e-mail: mao@szu.edu.cn)","institution_ids":["https://openalex.org/I180726961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061240612","display_name":"Zhiwei Zhang","orcid":"https://orcid.org/0000-0003-3482-6831"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiwei Zhang","raw_affiliation_strings":["School of Computer Science & Technology, Beijing Institute of Technology, 47833 Beijing, Beijing, China, (e-mail: cszwzhang@outlook.com)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science & Technology, Beijing Institute of Technology, 47833 Beijing, Beijing, China, (e-mail: cszwzhang@outlook.com)","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014346487","display_name":"Ye Yuan","orcid":"https://orcid.org/0000-0002-0247-9866"},"institutions":[{"id":"https://openalex.org/I202334528","display_name":"Beijing Electronic Science and Technology Institute","ror":"https://ror.org/01xdzh226","country_code":"CN","type":"education","lineage":["https://openalex.org/I202334528"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ye Yuan","raw_affiliation_strings":["Computer Science, Beijing Institute of Technology, 47833 Beijing, Beijing, China, (e-mail: yuanye@mail.neu.edu.cn)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science, Beijing Institute of Technology, 47833 Beijing, Beijing, China, (e-mail: yuanye@mail.neu.edu.cn)","institution_ids":["https://openalex.org/I202334528"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0549,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.79673075,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/correctness","display_name":"Correctness","score":0.6908984780311584},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.594390332698822},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.47701001167297363},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4459095895290375},{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.4369366765022278},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4323252737522125},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.43166351318359375},{"id":"https://openalex.org/keywords/modular-decomposition","display_name":"Modular decomposition","score":0.41951465606689453},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.41680917143821716},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38571852445602417},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.22348809242248535},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.10618129372596741}],"concepts":[{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.6908984780311584},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.594390332698822},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.47701001167297363},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4459095895290375},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.4369366765022278},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4323252737522125},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.43166351318359375},{"id":"https://openalex.org/C187407849","wikidata":"https://www.wikidata.org/wiki/Q6889712","display_name":"Modular decomposition","level":5,"score":0.41951465606689453},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.41680917143821716},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38571852445602417},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.22348809242248535},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.10618129372596741},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tkde.2021.3088504","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2021.3088504","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Knowledge and Data Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1676999057","https://openalex.org/W1951702208","https://openalex.org/W1971717360","https://openalex.org/W2029682635","https://openalex.org/W2057272970","https://openalex.org/W2058803838","https://openalex.org/W2066303519","https://openalex.org/W2071864549","https://openalex.org/W2080182143","https://openalex.org/W2084668738","https://openalex.org/W2101434765","https://openalex.org/W2118136127","https://openalex.org/W2133238553","https://openalex.org/W2134277721","https://openalex.org/W2134695286","https://openalex.org/W2137442080","https://openalex.org/W2139694815","https://openalex.org/W2148606255","https://openalex.org/W2228089378","https://openalex.org/W2244851978","https://openalex.org/W2314247963","https://openalex.org/W2328058578","https://openalex.org/W2432087854","https://openalex.org/W2440113929","https://openalex.org/W2725219117","https://openalex.org/W2742477721","https://openalex.org/W2750598393","https://openalex.org/W2767249079","https://openalex.org/W2795336911","https://openalex.org/W2799241431","https://openalex.org/W2893695676","https://openalex.org/W2911528866","https://openalex.org/W2925326765","https://openalex.org/W2928353730","https://openalex.org/W2949349735","https://openalex.org/W2949724410","https://openalex.org/W2952024205","https://openalex.org/W2962676535","https://openalex.org/W2963054764","https://openalex.org/W4230170035","https://openalex.org/W4235286830","https://openalex.org/W6637459119","https://openalex.org/W6760475047"],"related_works":["https://openalex.org/W2404647514","https://openalex.org/W1667647204","https://openalex.org/W4247536566","https://openalex.org/W2018477250","https://openalex.org/W3119814709","https://openalex.org/W4241418540","https://openalex.org/W1508895727","https://openalex.org/W2725786787","https://openalex.org/W4283160672","https://openalex.org/W2372780902"],"abstract_inverted_index":{"Core":[0],"decomposition":[1,19],"on":[2,62,124,196],"uncertain":[3,14,198],"graphs":[4],"is":[5,21,33,60,95],"a":[6,30,34,63,86,120,137],"fundamental":[7],"problem":[8,20,59],"in":[9,27,109],"graph":[10,15],"analysis.":[11],"Given":[12],"an":[13,44,125],"G,":[16,28],"the":[17,51,71,90,99,102,110,132,159,192],"core":[18],"to":[22,98,168],"determine":[23],"all":[24],"(k,":[25,31],"\\eta)-cores":[26],"where":[29],"\\eta)-core":[32],"maximal":[35],"subgraph":[36],"of":[37,101,147,188],"G":[38],"such":[39,85],"that":[40,84,180],"each":[41],"node":[42],"has":[43],"\\eta-degree":[45,92],"no":[46],"less":[47],"than":[48,191],"k":[49],"within":[50],"subgraph.":[52],"The":[53,177],"state-of-the-art":[54],"algorithm":[55,88,122,140],"for":[56],"solving":[57],"this":[58,116],"based":[61,123],"peeling":[64,87],"technique":[65,94],"which":[66],"iteratively":[67],"removes":[68],"nodes":[69],"with":[70,89,141],"smallest":[72],"\\eta-degrees":[73],"and":[74],"also":[75,135],"dynamically":[76],"updates":[77],"their":[78],"neighbors'":[79],"\\eta-degrees.":[80],"Unfortunately,":[81],"we":[82,118,134],"find":[83],"dynamical":[91,111],"updating":[93,112],"incorrect":[96],"due":[97],"inaccuracy":[100],"recursive":[103],"floating-point":[104,154],"number":[105,155],"division":[106,156],"operations":[107],"involved":[108],"procedure.":[113],"To":[114,129],"solve":[115],"problem,":[117],"propose":[119],"bottom-up":[121],"on-demand":[126],"computational":[127],"strategy.":[128],"further":[130],"improve":[131],"efficiency,":[133],"develop":[136],"more-efficient":[138],"top-down":[139],"several":[142],"nontrivial":[143],"optimization":[144],"techniques.":[145],"Both":[146],"our":[148,170,181],"algorithms":[149,171,182,195],"do":[150],"not":[151],"involve":[152],"any":[153],"operations,":[157],"thus":[158],"correctness":[160],"can":[161],"be":[162],"guaranteed.":[163],"We":[164],"conduct":[165],"extensive":[166],"experiments":[167],"evaluate":[169],"using":[172],"five":[173],"large":[174,197],"real-life":[175],"datasets.":[176],"results":[178],"show":[179],"are":[183],"at":[184],"least":[185],"three":[186],"orders":[187],"magnitude":[189],"faster":[190],"existing":[193],"exact":[194],"graphs.":[199]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}