{"id":"https://openalex.org/W2033761742","doi":"https://doi.org/10.1002/jgt.20517","title":"Constrained Ramsey numbers for rainbow matching","display_name":"Constrained Ramsey numbers for rainbow matching","publication_year":2010,"publication_date":"2010-11-12","ids":{"openalex":"https://openalex.org/W2033761742","doi":"https://doi.org/10.1002/jgt.20517","mag":"2033761742"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.20517","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.20517","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/A5022659483","display_name":"Allan Lo","orcid":"https://orcid.org/0000-0001-9767-2863"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]},{"id":"https://openalex.org/I4210153325","display_name":"Institute of Mathematical Statistics","ror":"https://ror.org/043f04882","country_code":"US","type":"other","lineage":["https://openalex.org/I4210153325"]}],"countries":["GB","US"],"is_corresponding":true,"raw_author_name":"Allan Siu Lun Lo","raw_affiliation_strings":["Department of pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge CB3 0WB, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge CB3 0WB, U.K","institution_ids":["https://openalex.org/I241749","https://openalex.org/I4210153325"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022659483"],"corresponding_institution_ids":["https://openalex.org/I241749","https://openalex.org/I4210153325"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.1230714,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"67","issue":"2","first_page":"91","last_page":"95"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9976999759674072,"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":0.9937999844551086,"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":0.9041890501976013},{"id":"https://openalex.org/keywords/rainbow","display_name":"Rainbow","score":0.8760865926742554},{"id":"https://openalex.org/keywords/monochromatic-color","display_name":"Monochromatic color","score":0.8398302793502808},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7334361672401428},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.6003373265266418},{"id":"https://openalex.org/keywords/ramseys-theorem","display_name":"Ramsey's theorem","score":0.5040892362594604},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4898979067802429},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.48503178358078003},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42790675163269043},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.1808454990386963},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.14177247881889343},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06525412201881409}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.9041890501976013},{"id":"https://openalex.org/C2776558979","wikidata":"https://www.wikidata.org/wiki/Q1052","display_name":"Rainbow","level":2,"score":0.8760865926742554},{"id":"https://openalex.org/C40833965","wikidata":"https://www.wikidata.org/wiki/Q6901438","display_name":"Monochromatic color","level":2,"score":0.8398302793502808},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7334361672401428},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.6003373265266418},{"id":"https://openalex.org/C44115641","wikidata":"https://www.wikidata.org/wiki/Q918099","display_name":"Ramsey's theorem","level":3,"score":0.5040892362594604},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4898979067802429},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.48503178358078003},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42790675163269043},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.1808454990386963},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.14177247881889343},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06525412201881409},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/jgt.20517","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.20517","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":11,"referenced_works":["https://openalex.org/W1965316657","https://openalex.org/W1989935425","https://openalex.org/W1999618770","https://openalex.org/W2042340160","https://openalex.org/W2056303343","https://openalex.org/W2066486518","https://openalex.org/W2095689360","https://openalex.org/W2106970948","https://openalex.org/W2137197373","https://openalex.org/W2152184602","https://openalex.org/W4249335099"],"related_works":["https://openalex.org/W2265564422","https://openalex.org/W4323065312","https://openalex.org/W2951614720","https://openalex.org/W4301078840","https://openalex.org/W4298879913","https://openalex.org/W1567601720","https://openalex.org/W2516261732","https://openalex.org/W2979696626","https://openalex.org/W2784505015","https://openalex.org/W4298162909"],"abstract_inverted_index":{"The":[0,29],"Ramsey":[1,31],"number":[2,11,32,44,55],"Rk(G)":[3],"of":[4,18,27,35,51,56,62,68],"a":[5,24,59,65,82],"graph":[6],"G":[7,38,63],"is":[8,41,81],"the":[9,36,42],"minimum":[10,43],"N,":[12,45],"such":[13,46],"that":[14,47,72],"any":[15,48,54],"edge":[16,49],"coloring":[17,50],"KN":[19,52],"with":[20,53],"k":[21],"colors":[22,57],"contains":[23,58],"monochromatic":[25,60],"copy":[26,61,67],"G.":[28],"constrained":[30],"f(G,":[33,90],"T)":[34],"graphs":[37,88],"and":[39],"T":[40,80],"or":[64],"rainbow":[66],"T.":[69],"We":[70],"show":[71],"these":[73],"two":[74],"quantities":[75],"are":[76],"closely":[77],"related":[78],"when":[79],"matching.":[83],"Namely,":[84],"for":[85,96],"almost":[86],"all":[87],"G,":[89],"tK2)":[91],"=":[92],"Rt":[93],"\u2212":[94],"1(G)":[95],"t\u22652.":[97],"\u00a9":[98],"2010":[99],"Wiley":[100],"Periodicals,":[101],"Inc.":[102],"J":[103],"Graph":[104],"Theory":[105],"67:91-95,":[106],"2011":[107]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
