{"id":"https://openalex.org/W2050616133","doi":"https://doi.org/10.1002/jgt.20527","title":"On a generalization of Rubin's theorem","display_name":"On a generalization of Rubin's theorem","publication_year":2011,"publication_date":"2011-01-27","ids":{"openalex":"https://openalex.org/W2050616133","doi":"https://doi.org/10.1002/jgt.20527","mag":"2050616133"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.20527","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.20527","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/A5013987744","display_name":"D. A. Shabanov","orcid":"https://orcid.org/0000-0002-1851-569X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Dmitry A. Shabanov","raw_affiliation_strings":["Faculty of Mechanics and Mathematics Department of Probability Theory Moscow Lomosonov State University, Moscow","Faculty of Mechanics and Mathematics Department of Probability Theory Moscow Lomosonov State University, Moscow#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mechanics and Mathematics Department of Probability Theory Moscow Lomosonov State University, Moscow","institution_ids":[]},{"raw_affiliation_string":"Faculty of Mechanics and Mathematics Department of Probability Theory Moscow Lomosonov State University, Moscow#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5013987744"],"corresponding_institution_ids":[],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":2.1034,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.84806147,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"67","issue":"3","first_page":"226","last_page":"234"},"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":0.9994000196456909,"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/T11476","display_name":"Graph theory and applications","score":0.9994000196456909,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8419129848480225},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6841910481452942},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6528803110122681},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5772672891616821},{"id":"https://openalex.org/keywords/extremal-graph-theory","display_name":"Extremal graph theory","score":0.5197876691818237},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43714267015457153},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.17816081643104553},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.13217693567276},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09342652559280396}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8419129848480225},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6841910481452942},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6528803110122681},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5772672891616821},{"id":"https://openalex.org/C12595997","wikidata":"https://www.wikidata.org/wiki/Q739245","display_name":"Extremal graph theory","level":5,"score":0.5197876691818237},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43714267015457153},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.17816081643104553},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.13217693567276},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09342652559280396}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/jgt.20527","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.20527","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":11,"referenced_works":["https://openalex.org/W1989403727","https://openalex.org/W2014373569","https://openalex.org/W2022556973","https://openalex.org/W2039241885","https://openalex.org/W2048314545","https://openalex.org/W2064829457","https://openalex.org/W2102928439","https://openalex.org/W2130108851","https://openalex.org/W2139181956","https://openalex.org/W2151422544","https://openalex.org/W2951825534"],"related_works":["https://openalex.org/W3162204513","https://openalex.org/W2189572292","https://openalex.org/W2735923117","https://openalex.org/W32000569","https://openalex.org/W2090340868","https://openalex.org/W1519450246","https://openalex.org/W2021252948","https://openalex.org/W3183510330","https://openalex.org/W4300888684","https://openalex.org/W3083876857"],"abstract_inverted_index":{"The":[0,40],"work":[1],"is":[2],"devoted":[3],"to":[4],"the":[5,11,15,32,35,43,50],"calculation":[6],"of":[7,10,14,46],"asymptotic":[8],"value":[9],"choice":[12],"number":[13],"complete":[16],"r-partite":[17],"graph":[18],"Km*":[19],"r":[20,52],"=":[21,38,53],"Km,":[22],"\u2026,":[23],"m":[24],"with":[25],"equal":[26],"part":[27],"size":[28],"m.":[29],"We":[30],"obtained":[31],"asymptotics":[33],"in":[34],"case":[36,51],"lnr":[37],"o(lnm).":[39],"proof":[41],"generalizes":[42],"classical":[44],"result":[45],"A.L.":[47],"Rubin":[48],"for":[49],"2.":[54],"\u00a9":[55],"2010":[56],"Wiley":[57],"Periodicals,":[58],"Inc.":[59],"J":[60],"Graph":[61],"Theory":[62],"67:":[63,66],"226\u2013234,":[64],"2011":[65,68],"226-234,":[67]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}
