{"id":"https://openalex.org/W2037390311","doi":"https://doi.org/10.1002/(sici)1097-0118(199603)21:3<351::aid-jgt11>3.0.co;2-k","title":"Graphs omitting a finite set of cycles","display_name":"Graphs omitting a finite set of cycles","publication_year":1996,"publication_date":"1996-03-01","ids":{"openalex":"https://openalex.org/W2037390311","doi":"https://doi.org/10.1002/(sici)1097-0118(199603)21:3<351::aid-jgt11>3.0.co;2-k","mag":"2037390311"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0118(199603)21:3<351::aid-jgt11>3.0.co;2-k","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199603)21:3<351::aid-jgt11>3.0.co;2-k","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","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/A5049042749","display_name":"Gregory Cherlin","orcid":null},"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":true,"raw_author_name":"Gregory Cherlin","raw_affiliation_strings":["Department of Mathematics, Rutgers University, Busch Campus, New Brunswick, NJ 08903"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rutgers University, Busch Campus, New Brunswick, NJ 08903","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111391538","display_name":"Niandong Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I79060951","display_name":"East Stroudsburg University","ror":"https://ror.org/05atz9219","country_code":"US","type":"education","lineage":["https://openalex.org/I79060951"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Niandong Shi","raw_affiliation_strings":["Department of Mathematics, East Stroudsburg University, East Stroudsburg, PA 18301"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, East Stroudsburg University, East Stroudsburg, PA 18301","institution_ids":["https://openalex.org/I79060951"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049042749"],"corresponding_institution_ids":["https://openalex.org/I102322142"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":2.7761,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.89452496,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"21","issue":"3","first_page":"351","last_page":"355"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9993000030517578,"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/T11567","display_name":"semigroups and automata theory","score":0.9883999824523926,"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/mathematics","display_name":"Mathematics","score":0.882986307144165},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7602927684783936},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5055322647094727},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5049439072608948},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49146568775177},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.48699647188186646},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4856504201889038},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4516843259334564},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.057627707719802856}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.882986307144165},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7602927684783936},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5055322647094727},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5049439072608948},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49146568775177},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.48699647188186646},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4856504201889038},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4516843259334564},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.057627707719802856},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1097-0118(199603)21:3<351::aid-jgt11>3.0.co;2-k","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199603)21:3<351::aid-jgt11>3.0.co;2-k","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W1976691234","https://openalex.org/W4287664878","https://openalex.org/W4299524164","https://openalex.org/W2951535879","https://openalex.org/W2142539551"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2],"for":[3],"C":[4,20],"a":[5,12],"finite":[6],"set":[7],"of":[8,23,28,37],"cycles,":[9],"there":[10],"is":[11],"universal":[13],"C-free":[14],"graph":[15],"if":[16,19],"and":[17,45],"only":[18],"consists":[21],"precisely":[22],"all":[24],"the":[25],"odd":[26],"cycles":[27],"order":[29],"less":[30],"than":[31],"same":[32],"specified":[33],"bound.":[34],"The":[35],"sufficiency":[36],"this":[38],"condition":[39],"was":[40],"proved":[41],"by":[42],"Komj\u00e1th,":[43],"Mekler,":[44],"Pach":[46],"(Israel":[47],"J.":[48],"Math":[49],"64":[50],"(1988),":[51],"158\u2013168).":[52],"\u00a9":[53],"1996":[54],"John":[55],"Wiley":[56],"&":[57],"Sons,":[58],"Inc.":[59]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2013,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}