{"id":"https://openalex.org/W2013926401","doi":"https://doi.org/10.1002/jgt.3190060405","title":"Bounds for the ramsey number of a disconnected graph versus any graph","display_name":"Bounds for the ramsey number of a disconnected graph versus any graph","publication_year":1982,"publication_date":"1982-12-01","ids":{"openalex":"https://openalex.org/W2013926401","doi":"https://doi.org/10.1002/jgt.3190060405","mag":"2013926401"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190060405","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190060405","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/A5077689134","display_name":"Ronald J. Gould","orcid":"https://orcid.org/0000-0003-0040-9511"},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ronald J. Gould","raw_affiliation_strings":["Emory University Atlanta, GA","Emory university, Atlanta, GA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Emory University Atlanta, GA","institution_ids":["https://openalex.org/I150468666"]},{"raw_affiliation_string":"Emory university, Atlanta, GA","institution_ids":["https://openalex.org/I150468666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060263835","display_name":"Michael S. Jacobson","orcid":"https://orcid.org/0000-0003-2220-8622"},"institutions":[{"id":"https://openalex.org/I142740786","display_name":"University of Louisville","ror":"https://ror.org/01ckdn478","country_code":"US","type":"education","lineage":["https://openalex.org/I142740786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael S. Jacobson","raw_affiliation_strings":["University of Louisville Louisville, KY","University of Louisville, Louisville, KY;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Louisville Louisville, KY","institution_ids":["https://openalex.org/I142740786"]},{"raw_affiliation_string":"University of Louisville, Louisville, KY;","institution_ids":["https://openalex.org/I142740786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.7698,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.61813187,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"6","issue":"4","first_page":"413","last_page":"417"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9976000189781189,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.996399998664856,"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/ramseys-theorem","display_name":"Ramsey's theorem","score":0.9397200345993042},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8733432292938232},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.835587203502655},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5995908975601196},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48579907417297363},{"id":"https://openalex.org/keywords/triangle-free-graph","display_name":"Triangle-free graph","score":0.4654558300971985},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.41786640882492065},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.31786203384399414},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.18122360110282898},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.04691717028617859}],"concepts":[{"id":"https://openalex.org/C44115641","wikidata":"https://www.wikidata.org/wiki/Q918099","display_name":"Ramsey's theorem","level":3,"score":0.9397200345993042},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8733432292938232},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.835587203502655},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5995908975601196},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48579907417297363},{"id":"https://openalex.org/C114727528","wikidata":"https://www.wikidata.org/wiki/Q7840044","display_name":"Triangle-free graph","level":5,"score":0.4654558300971985},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.41786640882492065},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.31786203384399414},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.18122360110282898},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.04691717028617859}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/jgt.3190060405","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190060405","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2007801688","https://openalex.org/W2103032535","https://openalex.org/W2104145910","https://openalex.org/W2119959018","https://openalex.org/W2319553246","https://openalex.org/W6892254184"],"related_works":["https://openalex.org/W2349109195","https://openalex.org/W2069797780","https://openalex.org/W2891286913","https://openalex.org/W4297965885","https://openalex.org/W1966595665","https://openalex.org/W2582950667","https://openalex.org/W3037609754","https://openalex.org/W2078360221","https://openalex.org/W190077873","https://openalex.org/W4226451695"],"abstract_inverted_index":{"Abstract":[0],"Bounds":[1],"are":[2,48],"determined":[3],"for":[4],"the":[5,9,21,25,35,60,74,86],"Ramsey":[6,22,37,46],"number":[7,23,38,61],"of":[8,11,24,33,62,64,77,85,88],"union":[10],"graphs":[12],"versus":[13,27],"a":[14,78],"fixed":[15],"graph":[16],"H":[17,28,71,89],",":[18,90],"based":[19],"on":[20],"components":[26,63],".":[29,55,94],"For":[30],"certain":[31],"unions":[32],"graphs,":[34],"exact":[36],"is":[39,59,73],"determined.":[40],"From":[41],"these":[42],"formulas,":[43],"some":[44],"new":[45],"numbers":[47],"indicated.":[49],"In":[50],"particular,":[51],"if":[52],"magnified":[53,92],"image":[54,93],"Where":[56],"k":[57],"i":[58,66],"order":[65,76],"and":[67],"t":[68],"1":[69],"(":[70],")":[72],"minimum":[75],"color":[79],"class":[80],"over":[81],"all":[82],"critical":[83],"colorings":[84],"vertices":[87],"then":[91]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-23T06:36:01.041984","created_date":"2025-10-10T00:00:00"}