{"id":"https://openalex.org/W1483027031","doi":"https://doi.org/10.1007/978-1-4614-7254-4_15","title":"A Bound of the Cardinality of Families Not Containing $$\\Delta $$ -Systems","display_name":"A Bound of the Cardinality of Families Not Containing $$\\Delta $$ -Systems","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1483027031","doi":"https://doi.org/10.1007/978-1-4614-7254-4_15","mag":"1483027031"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4614-7254-4_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4614-7254-4_15","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Mathematics of Paul Erd\u0151s II","raw_type":"book-chapter"},"type":"book-chapter","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/A5080894223","display_name":"Alexandr Kostochka","orcid":"https://orcid.org/0000-0002-6363-3804"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I183874917","display_name":"Urbana University","ror":"https://ror.org/04kp3hw27","country_code":"US","type":"education","lineage":["https://openalex.org/I183874917"]}],"countries":["RU","US"],"is_corresponding":true,"raw_author_name":"Alexandr V. Kostochka","raw_affiliation_strings":["Department of Mathematics, Urbana, USA","Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Urbana, USA","institution_ids":["https://openalex.org/I183874917"]},{"raw_affiliation_string":"Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia","institution_ids":["https://openalex.org/I1313323035"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080894223"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I183874917"],"apc_list":null,"apc_paid":null,"fwci":7.1721,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.95996732,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"199","last_page":"206"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11567","display_name":"semigroups and automata theory","score":0.9911999702453613,"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/T11797","display_name":"graph theory and CDMA systems","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.7815457582473755},{"id":"https://openalex.org/keywords/genealogy","display_name":"Genealogy","score":0.4604544937610626},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4102194905281067},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40927475690841675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30663004517555237},{"id":"https://openalex.org/keywords/history","display_name":"History","score":0.27416306734085083},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.07077404856681824}],"concepts":[{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.7815457582473755},{"id":"https://openalex.org/C53553401","wikidata":"https://www.wikidata.org/wiki/Q47307","display_name":"Genealogy","level":1,"score":0.4604544937610626},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4102194905281067},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40927475690841675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30663004517555237},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.27416306734085083},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.07077404856681824}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4614-7254-4_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4614-7254-4_15","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Mathematics of Paul Erd\u0151s II","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2016341899","https://openalex.org/W2327285180"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2002177687","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
