{"id":"https://openalex.org/W988817357","doi":"https://doi.org/10.1007/s00493-011-2610-y","title":"The number of K m,m -free graphs","display_name":"The number of K m,m -free graphs","publication_year":2011,"publication_date":"2011-03-01","ids":{"openalex":"https://openalex.org/W988817357","doi":"https://doi.org/10.1007/s00493-011-2610-y","mag":"988817357"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-011-2610-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-011-2610-y","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/A5108264183","display_name":"J\u00f3zsef Balogh","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J\u00f3zsef Balogh","raw_affiliation_strings":["Department of Mathematics, University of California, San Diego 9500 Gilman Drive, La Jolla, CA, 92093, USA","Department of Mathematics, University of Illinois, 1409 W. Green Street, Urbana, IL, 61801, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, San Diego 9500 Gilman Drive, La Jolla, CA, 92093, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Department of Mathematics, University of Illinois, 1409 W. Green Street, Urbana, IL, 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026232768","display_name":"Wojciech Samotij","orcid":"https://orcid.org/0000-0002-0484-4169"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wojciech Samotij","raw_affiliation_strings":["Department of Mathematics, University of Illinois, Urbana, IL, 61801, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Illinois, Urbana, IL, 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5108264183"],"corresponding_institution_ids":["https://openalex.org/I157725225","https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":3.585,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.9201995,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"31","issue":"2","first_page":"131","last_page":"150"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9934999942779541,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9828000068664551,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.9091622829437256},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8442099094390869},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7256770730018616},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6063696146011353},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.6057156920433044},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6043026447296143},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.44970083236694336},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41360992193222046}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.9091622829437256},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8442099094390869},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7256770730018616},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6063696146011353},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6057156920433044},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6043026447296143},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.44970083236694336},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41360992193222046},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00493-011-2610-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-011-2610-y","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.298.7021","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.298.7021","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uiuc.edu/~jobal/cikk/Kmmrevised.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1444168583","https://openalex.org/W1595409123","https://openalex.org/W1966546617","https://openalex.org/W1990114124","https://openalex.org/W1992935756","https://openalex.org/W1995077491","https://openalex.org/W2006135590","https://openalex.org/W2009852526","https://openalex.org/W2024244453","https://openalex.org/W2029810714","https://openalex.org/W2035530079","https://openalex.org/W2035763891","https://openalex.org/W2040218501","https://openalex.org/W2047564915","https://openalex.org/W2052770391","https://openalex.org/W2054018639","https://openalex.org/W2062102322","https://openalex.org/W2079092774","https://openalex.org/W2093276208","https://openalex.org/W2099986052","https://openalex.org/W2111007781","https://openalex.org/W2121207392","https://openalex.org/W2153478982","https://openalex.org/W2157071288","https://openalex.org/W2899702797","https://openalex.org/W2971268466","https://openalex.org/W4236586398","https://openalex.org/W4245585741"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2080136900","https://openalex.org/W2372768926","https://openalex.org/W2999799752","https://openalex.org/W2567825307","https://openalex.org/W2054458431","https://openalex.org/W2115167491","https://openalex.org/W3013576436"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}