{"id":"https://openalex.org/W4415649775","doi":"https://doi.org/10.3390/a18110685","title":"Cover Edge-Based Novel Triangle Counting","display_name":"Cover Edge-Based Novel Triangle Counting","publication_year":2025,"publication_date":"2025-10-28","ids":{"openalex":"https://openalex.org/W4415649775","doi":"https://doi.org/10.3390/a18110685"},"language":"en","primary_location":{"id":"doi:10.3390/a18110685","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a18110685","pdf_url":null,"source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/a18110685","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076610730","display_name":"David A. Bader","orcid":"https://orcid.org/0000-0002-7380-5876"},"institutions":[{"id":"https://openalex.org/I118118575","display_name":"New Jersey Institute of Technology","ror":"https://ror.org/05e74xb87","country_code":"US","type":"education","lineage":["https://openalex.org/I118118575"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"David A. Bader","raw_affiliation_strings":["Department of Data Science, New Jersey Institute of Technology (NJIT), Newark, NJ 07102, USA"],"affiliations":[{"raw_affiliation_string":"Department of Data Science, New Jersey Institute of Technology (NJIT), Newark, NJ 07102, USA","institution_ids":["https://openalex.org/I118118575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065481171","display_name":"Fuhuan Li","orcid":null},"institutions":[{"id":"https://openalex.org/I118118575","display_name":"New Jersey Institute of Technology","ror":"https://ror.org/05e74xb87","country_code":"US","type":"education","lineage":["https://openalex.org/I118118575"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fuhuan Li","raw_affiliation_strings":["Department of Data Science, New Jersey Institute of Technology (NJIT), Newark, NJ 07102, USA"],"affiliations":[{"raw_affiliation_string":"Department of Data Science, New Jersey Institute of Technology (NJIT), Newark, NJ 07102, USA","institution_ids":["https://openalex.org/I118118575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100685313","display_name":"Zhihui Du","orcid":"https://orcid.org/0000-0002-8435-1611"},"institutions":[{"id":"https://openalex.org/I118118575","display_name":"New Jersey Institute of Technology","ror":"https://ror.org/05e74xb87","country_code":"US","type":"education","lineage":["https://openalex.org/I118118575"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhihui Du","raw_affiliation_strings":["Department of Data Science, New Jersey Institute of Technology (NJIT), Newark, NJ 07102, USA"],"affiliations":[{"raw_affiliation_string":"Department of Data Science, New Jersey Institute of Technology (NJIT), Newark, NJ 07102, USA","institution_ids":["https://openalex.org/I118118575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5094087153","display_name":"Palina Pauliuchenka","orcid":null},"institutions":[{"id":"https://openalex.org/I118118575","display_name":"New Jersey Institute of Technology","ror":"https://ror.org/05e74xb87","country_code":"US","type":"education","lineage":["https://openalex.org/I118118575"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Palina Pauliuchenka","raw_affiliation_strings":["Department of Data Science, New Jersey Institute of Technology (NJIT), Newark, NJ 07102, USA"],"affiliations":[{"raw_affiliation_string":"Department of Data Science, New Jersey Institute of Technology (NJIT), Newark, NJ 07102, USA","institution_ids":["https://openalex.org/I118118575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070173078","display_name":"Oliver Alvarado Rodriguez","orcid":null},"institutions":[{"id":"https://openalex.org/I118118575","display_name":"New Jersey Institute of Technology","ror":"https://ror.org/05e74xb87","country_code":"US","type":"education","lineage":["https://openalex.org/I118118575"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Oliver Alvarado Rodriguez","raw_affiliation_strings":["Department of Data Science, New Jersey Institute of Technology (NJIT), Newark, NJ 07102, USA"],"affiliations":[{"raw_affiliation_string":"Department of Data Science, New Jersey Institute of Technology (NJIT), Newark, NJ 07102, USA","institution_ids":["https://openalex.org/I118118575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040587523","display_name":"Anant Gupta","orcid":"https://orcid.org/0000-0001-9674-3789"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anant Gupta","raw_affiliation_strings":["Computer Science & Data Science, Rutgers University, New Brunswick, NJ 08901, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science & Data Science, Rutgers University, New Brunswick, NJ 08901, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5120169491","display_name":"Sai Vastav Minnal","orcid":null},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]},{"id":"https://openalex.org/I922845939","display_name":"Philadelphia University","ror":"https://ror.org/03zzmyz63","country_code":"US","type":"education","lineage":["https://openalex.org/I922845939"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sai Sri Vastav Minnal","raw_affiliation_strings":["Computer Science, University of Pennsylvania, Philadelphia, PA 19104, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science, University of Pennsylvania, Philadelphia, PA 19104, USA","institution_ids":["https://openalex.org/I79576946","https://openalex.org/I922845939"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107437012","display_name":"Valmik Nahata","orcid":"https://orcid.org/0000-0003-2162-7286"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Valmik Nahata","raw_affiliation_strings":["Machine Learning and Neural Computation, University of California, San Diego, CA 92093, USA"],"affiliations":[{"raw_affiliation_string":"Machine Learning and Neural Computation, University of California, San Diego, CA 92093, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015889400","display_name":"Anya Ganeshan","orcid":null},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anya Ganeshan","raw_affiliation_strings":["Operations Research & Computer Science, Columbia University, New York, NY 10027, USA"],"affiliations":[{"raw_affiliation_string":"Operations Research & Computer Science, Columbia University, New York, NY 10027, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040418556","display_name":"Ahmet G\u00fcndo\u011fdu","orcid":"https://orcid.org/0000-0002-8333-3083"},"institutions":[{"id":"https://openalex.org/I16269868","display_name":"Santa Clara University","ror":"https://ror.org/03ypqe447","country_code":"US","type":"education","lineage":["https://openalex.org/I16269868"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ahmet Cemal Gundogdu","raw_affiliation_strings":["Computer Science & Entrepreneurship, Santa Clara University, Santa Clara, CA 95053, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science & Entrepreneurship, Santa Clara University, Santa Clara, CA 95053, USA","institution_ids":["https://openalex.org/I16269868"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054173849","display_name":"Jason Lew","orcid":null},"institutions":[{"id":"https://openalex.org/I118118575","display_name":"New Jersey Institute of Technology","ror":"https://ror.org/05e74xb87","country_code":"US","type":"education","lineage":["https://openalex.org/I118118575"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jason Lew","raw_affiliation_strings":["Department of Data Science, New Jersey Institute of Technology (NJIT), Newark, NJ 07102, USA"],"affiliations":[{"raw_affiliation_string":"Department of Data Science, New Jersey Institute of Technology (NJIT), Newark, NJ 07102, USA","institution_ids":["https://openalex.org/I118118575"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":11,"corresponding_author_ids":["https://openalex.org/A5076610730"],"corresponding_institution_ids":["https://openalex.org/I118118575"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24306283,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"11","first_page":"685","last_page":"685"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.5092999935150146,"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":0.5092999935150146,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.322299987077713,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.04749999940395355,"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/benchmarking","display_name":"Benchmarking","score":0.6133000254631042},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5325999855995178},{"id":"https://openalex.org/keywords/listing","display_name":"Listing (finance)","score":0.45260000228881836},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4499000012874603},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4496000111103058},{"id":"https://openalex.org/keywords/clustering-coefficient","display_name":"Clustering coefficient","score":0.4275999963283539},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.41179999709129333}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7398999929428101},{"id":"https://openalex.org/C86251818","wikidata":"https://www.wikidata.org/wiki/Q816754","display_name":"Benchmarking","level":2,"score":0.6133000254631042},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5325999855995178},{"id":"https://openalex.org/C2779820595","wikidata":"https://www.wikidata.org/wiki/Q798505","display_name":"Listing (finance)","level":2,"score":0.45260000228881836},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4499000012874603},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4496000111103058},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42980000376701355},{"id":"https://openalex.org/C22047676","wikidata":"https://www.wikidata.org/wiki/Q898680","display_name":"Clustering coefficient","level":3,"score":0.4275999963283539},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.41179999709129333},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.3864000141620636},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.375900000333786},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3467999994754791},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3330000042915344},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3172999918460846},{"id":"https://openalex.org/C43126263","wikidata":"https://www.wikidata.org/wiki/Q128751","display_name":"Source code","level":2,"score":0.2840999960899353},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.27959999442100525},{"id":"https://openalex.org/C2989134064","wikidata":"https://www.wikidata.org/wiki/Q288510","display_name":"Execution time","level":2,"score":0.2727000117301941},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.2630999982357025},{"id":"https://openalex.org/C62692426","wikidata":"https://www.wikidata.org/wiki/Q816319","display_name":"Depth-first search","level":3,"score":0.26010000705718994},{"id":"https://openalex.org/C145108525","wikidata":"https://www.wikidata.org/wiki/Q656154","display_name":"Xeon","level":2,"score":0.25209999084472656}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/a18110685","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a18110685","pdf_url":null,"source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:59701ae294e143bd8e17efc2c181c458","is_oa":true,"landing_page_url":"https://doaj.org/article/59701ae294e143bd8e17efc2c181c458","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 18, Iss 11, p 685 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/a18110685","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a18110685","pdf_url":null,"source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2159738212","display_name":null,"funder_award_id":"CCF-2453324","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G218203647","display_name":null,"funder_award_id":"OAC-2402560","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8832492031","display_name":null,"funder_award_id":"CCF-2109988","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1482680420","https://openalex.org/W1489509891","https://openalex.org/W1582397847","https://openalex.org/W1967066104","https://openalex.org/W1991858502","https://openalex.org/W2016311778","https://openalex.org/W2019724001","https://openalex.org/W2055245094","https://openalex.org/W2112090702","https://openalex.org/W2126359798","https://openalex.org/W2730240540","https://openalex.org/W2765635219","https://openalex.org/W2766251751","https://openalex.org/W2767203711","https://openalex.org/W2786841533","https://openalex.org/W2804905035","https://openalex.org/W2902741896","https://openalex.org/W2902906695","https://openalex.org/W2903237845","https://openalex.org/W3116253690","https://openalex.org/W3116971926","https://openalex.org/W3175360619","https://openalex.org/W4308090265","https://openalex.org/W4390188839","https://openalex.org/W4390189048","https://openalex.org/W4390575692","https://openalex.org/W4401170210"],"related_works":[],"abstract_inverted_index":{"Counting":[0],"and":[1,24,65,69,86,92,117,125],"listing":[2],"triangles":[3],"in":[4,10,89],"graphs":[5],"is":[6,49,134],"a":[7,32,53,79,90],"fundamental":[8],"task":[9],"network":[11],"analysis,":[12],"supporting":[13],"applications":[14],"such":[15,122],"as":[16,123],"community":[17],"detection,":[18],"clustering":[19],"coefficient":[20],"computation,":[21],"k-truss":[22],"decomposition,":[23],"triangle":[25,40],"centrality.":[26],"We":[27,76],"introduce":[28],"the":[29,98,111],"cover-edge":[30,47],"set,":[31],"novel":[33],"concept":[34],"that":[35],"eliminates":[36],"unnecessary":[37],"edges":[38],"during":[39],"enumeration,":[41],"thereby":[42],"improving":[43],"efficiency.":[44],"This":[45],"compact":[46],"set":[48],"rapidly":[50],"constructed":[51],"using":[52],"breadth-first":[54],"search":[55],"(BFS)":[56],"strategy.":[57],"Using":[58],"this":[59],"concept,":[60],"we":[61],"develop":[62],"both":[63],"sequential":[64,85],"parallel":[66,87],"triangle-counting":[67],"algorithms":[68,88],"conduct":[70],"comprehensive":[71],"comparisons":[72],"with":[73],"state-of-the-art":[74],"methods.":[75],"also":[77],"design":[78],"benchmarking":[80],"framework":[81],"to":[82],"evaluate":[83],"our":[84],"systematic":[91],"reproducible":[93],"manner.":[94],"Extensive":[95],"experiments":[96],"on":[97,136],"latest":[99],"Intel":[100],"Xeon":[101],"8480+":[102],"processor":[103],"reveal":[104],"clear":[105],"performance":[106],"differences":[107],"among":[108],"algorithms,":[109],"demonstrate":[110],"benefits":[112],"of":[113],"various":[114],"optimization":[115],"strategies,":[116],"show":[118],"how":[119],"graph":[120],"characteristics,":[121],"diameter":[124],"degree":[126],"distribution,":[127],"affect":[128],"algorithm":[129],"performance.":[130],"Our":[131],"source":[132],"code":[133],"available":[135],"GitHub.":[137]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-29T00:00:00"}
