{"id":"https://openalex.org/W2113407082","doi":"https://doi.org/10.1007/s00493-004-0025-8","title":"Triangle Factors In Sparse Pseudo-Random Graphs","display_name":"Triangle Factors In Sparse Pseudo-Random Graphs","publication_year":2004,"publication_date":"2004-07-01","ids":{"openalex":"https://openalex.org/W2113407082","doi":"https://doi.org/10.1007/s00493-004-0025-8","mag":"2113407082"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-004-0025-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-004-0025-8","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"COMBINATORICA","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/A5008556299","display_name":"Michael Krivelevich","orcid":"https://orcid.org/0000-0003-2357-4982"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Michael Krivelevich*","raw_affiliation_strings":["Department of Mathematics, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, 69978, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, 69978, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103543870","display_name":"Benni Sudakov\u2020","orcid":null},"institutions":[{"id":"https://openalex.org/I40036882","display_name":"Institute for Advanced Study","ror":"https://ror.org/00f809463","country_code":"US","type":"facility","lineage":["https://openalex.org/I40036882"]},{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Benni Sudakov\u2020","raw_affiliation_strings":["Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA","Institute for Advanced Study, Princeton, NJ, 08540, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Institute for Advanced Study, Princeton, NJ, 08540, USA","institution_ids":["https://openalex.org/I40036882"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068960247","display_name":"Tibor Szab\u00f3","orcid":"https://orcid.org/0000-0003-0599-0624"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Tibor Szab\u00f3\u2021","raw_affiliation_strings":["Department of Computer Science, ETH Z\u00fcrich, 8092, Z\u00fcrich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, ETH Z\u00fcrich, 8092, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008556299"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":2.0865,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.85616102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"24","issue":"3","first_page":"403","last_page":"426"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9022229313850403},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8374056816101074},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.7273375988006592},{"id":"https://openalex.org/keywords/sublinear-function","display_name":"Sublinear function","score":0.6227689981460571},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5440601110458374},{"id":"https://openalex.org/keywords/random-regular-graph","display_name":"Random regular graph","score":0.5349223613739014},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.534736156463623},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47830846905708313},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.47198182344436646},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.45074254274368286},{"id":"https://openalex.org/keywords/statement","display_name":"Statement (logic)","score":0.45004308223724365},{"id":"https://openalex.org/keywords/regular-graph","display_name":"Regular graph","score":0.43294376134872437},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.1777280867099762},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.15757426619529724},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.14289414882659912},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.13086578249931335}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9022229313850403},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8374056816101074},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.7273375988006592},{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.6227689981460571},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5440601110458374},{"id":"https://openalex.org/C4255713","wikidata":"https://www.wikidata.org/wiki/Q7291988","display_name":"Random regular graph","level":5,"score":0.5349223613739014},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.534736156463623},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47830846905708313},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.47198182344436646},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.45074254274368286},{"id":"https://openalex.org/C2777026412","wikidata":"https://www.wikidata.org/wiki/Q2684591","display_name":"Statement (logic)","level":2,"score":0.45004308223724365},{"id":"https://openalex.org/C123482549","wikidata":"https://www.wikidata.org/wiki/Q826467","display_name":"Regular graph","level":5,"score":0.43294376134872437},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.1777280867099762},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.15757426619529724},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.14289414882659912},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.13086578249931335},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00493-004-0025-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-004-0025-8","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"COMBINATORICA","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1578099820","https://openalex.org/W1623354552","https://openalex.org/W1639593279","https://openalex.org/W1998400388","https://openalex.org/W2005616548","https://openalex.org/W2010512224","https://openalex.org/W2011438991","https://openalex.org/W2015922523","https://openalex.org/W2027584441","https://openalex.org/W2038200513","https://openalex.org/W2044544094","https://openalex.org/W2055787252","https://openalex.org/W2068871408","https://openalex.org/W2094126876","https://openalex.org/W2336890593","https://openalex.org/W2901284226","https://openalex.org/W2912057363","https://openalex.org/W2983896310"],"related_works":["https://openalex.org/W2404979123","https://openalex.org/W3197032895","https://openalex.org/W2092565550","https://openalex.org/W3195999307","https://openalex.org/W4386437560","https://openalex.org/W2167789929","https://openalex.org/W4245919572","https://openalex.org/W3123563708","https://openalex.org/W2104600050","https://openalex.org/W2546477829"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}