{"id":"https://openalex.org/W4205884102","doi":"https://doi.org/10.1109/tkde.2021.3137955","title":"Higher-Order Truss Decomposition in Graphs","display_name":"Higher-Order Truss Decomposition in Graphs","publication_year":2021,"publication_date":"2021-12-23","ids":{"openalex":"https://openalex.org/W4205884102","doi":"https://doi.org/10.1109/tkde.2021.3137955"},"language":"en","primary_location":{"id":"doi:10.1109/tkde.2021.3137955","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2021.3137955","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/A5100752814","display_name":"Zi Chen","orcid":"https://orcid.org/0000-0001-5608-4555"},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zi Chen","raw_affiliation_strings":["Software Engineering Institute, East China Normal University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Software Engineering Institute, East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I66867065"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069580961","display_name":"Long Yuan","orcid":"https://orcid.org/0000-0001-8111-0401"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Long Yuan","raw_affiliation_strings":["School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101566937","display_name":"Li Han","orcid":"https://orcid.org/0000-0001-5797-2554"},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Han","raw_affiliation_strings":["Software Engineering Institute, East China Normal University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Software Engineering Institute, East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I66867065"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101227501","display_name":"Zhengping Qian","orcid":"https://orcid.org/0000-0002-0741-9918"},"institutions":[{"id":"https://openalex.org/I45928872","display_name":"Alibaba Group (China)","ror":"https://ror.org/00k642b80","country_code":"CN","type":"company","lineage":["https://openalex.org/I45928872"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengping Qian","raw_affiliation_strings":["Alibaba Group, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"Alibaba Group, Hangzhou, China","institution_ids":["https://openalex.org/I45928872"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100752814"],"corresponding_institution_ids":["https://openalex.org/I66867065"],"apc_list":null,"apc_paid":null,"fwci":2.363,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.89525407,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"35","issue":"4","first_page":"3966","last_page":"3978"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9994000196456909,"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":0.9994000196456909,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9847000241279602,"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":0.9839000105857849,"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/truss","display_name":"Truss","score":0.8649750351905823},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.8083421587944031},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5629948377609253},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35438618063926697},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32444190979003906},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20326191186904907},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.08519667387008667}],"concepts":[{"id":"https://openalex.org/C173534245","wikidata":"https://www.wikidata.org/wiki/Q1328068","display_name":"Truss","level":2,"score":0.8649750351905823},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.8083421587944031},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5629948377609253},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35438618063926697},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32444190979003906},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20326191186904907},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.08519667387008667},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tkde.2021.3137955","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2021.3137955","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":[{"id":"https://openalex.org/G1896541505","display_name":null,"funder_award_id":"2021M701214","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G8520818820","display_name":null,"funder_award_id":"61902184","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/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1586552957","https://openalex.org/W1842847600","https://openalex.org/W1970871468","https://openalex.org/W1975360581","https://openalex.org/W2013414394","https://openalex.org/W2016311778","https://openalex.org/W2022758681","https://openalex.org/W2023536175","https://openalex.org/W2023655578","https://openalex.org/W2042622609","https://openalex.org/W2042949485","https://openalex.org/W2070506828","https://openalex.org/W2084974221","https://openalex.org/W2106650313","https://openalex.org/W2116450608","https://openalex.org/W2125895010","https://openalex.org/W2144543704","https://openalex.org/W2147991930","https://openalex.org/W2148178939","https://openalex.org/W2148606255","https://openalex.org/W2152971731","https://openalex.org/W2180772693","https://openalex.org/W2217968126","https://openalex.org/W2231297807","https://openalex.org/W2297018065","https://openalex.org/W2432087854","https://openalex.org/W2576577998","https://openalex.org/W2591291103","https://openalex.org/W2604379690","https://openalex.org/W2753758798","https://openalex.org/W2774090050","https://openalex.org/W2774854434","https://openalex.org/W2911528866","https://openalex.org/W2937419751","https://openalex.org/W2942445691","https://openalex.org/W2949055953","https://openalex.org/W2985887891","https://openalex.org/W2997062749","https://openalex.org/W3008629102","https://openalex.org/W3009094743","https://openalex.org/W3012937529","https://openalex.org/W3020597450","https://openalex.org/W3030754506","https://openalex.org/W3101888373","https://openalex.org/W3101950588","https://openalex.org/W4251396722","https://openalex.org/W4255889623","https://openalex.org/W4312258136","https://openalex.org/W6761659004","https://openalex.org/W6769414217"],"related_works":["https://openalex.org/W4205884102","https://openalex.org/W347180939","https://openalex.org/W3046926816","https://openalex.org/W3091205391","https://openalex.org/W2332694326","https://openalex.org/W4249089511","https://openalex.org/W2913338188","https://openalex.org/W4307311521","https://openalex.org/W1989372642","https://openalex.org/W2105687903"],"abstract_inverted_index":{"<inline-formula><tex-math":[0,19,56,66,76,91,98,104,144,151],"notation=\"LaTeX\">$k$</tex-math></inline-formula>":[1,20,99,145],"-truss":[2,21,59,79],"model":[3,9,22,54],"is":[4],"a":[5,52,102,135],"typical":[6],"cohesive":[7],"subgraph":[8],"and":[10,120,125,180,190],"has":[11],"been":[12],"received":[13],"considerable":[14],"attention":[15],"recently.":[16],"However,":[17],"the":[18,25,42,62,75,83,90,114,140,149,157,169,183,187],"only":[23],"considers":[24,61],"direct":[26],"common":[27],"neighbors":[28],"of":[29,41,70,143,192],"an":[30,71],"edge,":[31],"which":[32,88],"restricts":[33],"its":[34],"ability":[35],"to":[36,147,167],"reveal":[37],"fine-grained":[38],"structure":[39,123],"information":[40,69],"graph.":[43],"Motivated":[44],"by":[45],"this,":[46],"in":[47,113,139],"this":[48,130],"paper,":[49],"we":[50,81,132,161],"propose":[51,134],"new":[53],"named":[55],"notation=\"LaTeX\">$(k,":[57,77,92,152],"\\tau)$</tex-math></inline-formula>":[58,78,93,153],"that":[60],"higher-order":[63,84],"neighborhood":[64],"(":[65],"notation=\"LaTeX\">$\\tau$</tex-math></inline-formula>":[67,105],"hop)":[68],"edge.":[72],"Based":[73,155],"on":[74,156,177],"model,":[80],"study":[82],"truss":[85,108],"decomposition":[86,109,137,159],"problem":[87],"computes":[89],"-trusses":[94],"for":[95],"all":[96],"possible":[97],"values":[100,146],"regarding":[101],"given":[103],".":[106],"Higher-order":[107],"can":[110],"be":[111],"used":[112],"applications":[115],"such":[116],"as":[117],"community":[118],"detection":[119],"search,":[121],"hierarchical":[122],"analysis,":[124],"graph":[126],"visualization.":[127],"To":[128],"address":[129],"problem,":[131],"first":[133],"bottom-up":[136,158],"paradigm":[138],"increasing":[141],"order":[142],"compute":[148],"corresponding":[150],"-truss.":[154],"paradigm,":[160],"further":[162],"devise":[163],"three":[164],"optimization":[165],"strategies":[166],"reduce":[168],"unnecessary":[170],"computation.":[171],"We":[172],"evaluate":[173],"our":[174,193],"proposed":[175,194],"algorithms":[176],"real":[178],"datasets":[179],"synthetic":[181],"datasets,":[182],"experimental":[184],"results":[185],"demonstrate":[186],"efficiency,":[188],"effectiveness":[189],"scalability":[191],"algorithms.":[195]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}