{"id":"https://openalex.org/W4237066631","doi":"https://doi.org/10.1002/(sici)1097-0118(199707)25:3<185::aid-jgt2>3.0.co;2-h","title":"Star partitions of graphs","display_name":"Star partitions of graphs","publication_year":1997,"publication_date":"1997-07-01","ids":{"openalex":"https://openalex.org/W4237066631","doi":"https://doi.org/10.1002/(sici)1097-0118(199707)25:3<185::aid-jgt2>3.0.co;2-h"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0118(199707)25:3<185::aid-jgt2>3.0.co;2-h","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199707)25:3<185::aid-jgt2>3.0.co;2-h","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/A5061720168","display_name":"Yoshimi Egawa","orcid":null},"institutions":[{"id":"https://openalex.org/I161296585","display_name":"Tokyo University of Science","ror":"https://ror.org/05sj3n476","country_code":"JP","type":"education","lineage":["https://openalex.org/I161296585"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Y. Egawa","raw_affiliation_strings":["Department of Applied Mathematics Science University of Tokyo Kagurazaka, Shinjuku Tokyo 162, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics Science University of Tokyo Kagurazaka, Shinjuku Tokyo 162, Japan","institution_ids":["https://openalex.org/I161296585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062422841","display_name":"Mikio Kan\u014d","orcid":"https://orcid.org/0000-0002-7545-0327"},"institutions":[{"id":"https://openalex.org/I65143321","display_name":"Hitachi (Japan)","ror":"https://ror.org/02exqgm79","country_code":"JP","type":"company","lineage":["https://openalex.org/I65143321"]},{"id":"https://openalex.org/I6178835","display_name":"Ibaraki University","ror":"https://ror.org/00sjd5653","country_code":"JP","type":"education","lineage":["https://openalex.org/I6178835"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"M. Kano","raw_affiliation_strings":["Department of Computer and Information Sciences Ibaraki University Hitachi 316, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Sciences Ibaraki University Hitachi 316, Japan","institution_ids":["https://openalex.org/I6178835","https://openalex.org/I65143321"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044955882","display_name":"Alexander Kelmans","orcid":null},"institutions":[{"id":"https://openalex.org/I200399037","display_name":"University of Puerto Rico System","ror":"https://ror.org/02yg0nm07","country_code":"PR","type":"education","lineage":["https://openalex.org/I200399037"]},{"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":["PR","US"],"is_corresponding":false,"raw_author_name":"Alexander K. Kelmans","raw_affiliation_strings":["Rutcor, Rutgers University, New Brunswick, NJ 08903 and Department of Mathematics, University of Puerto Rico San Juan, PR 00931"],"affiliations":[{"raw_affiliation_string":"Rutcor, Rutgers University, New Brunswick, NJ 08903 and Department of Mathematics, University of Puerto Rico San Juan, PR 00931","institution_ids":["https://openalex.org/I200399037","https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061720168"],"corresponding_institution_ids":["https://openalex.org/I161296585"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.39131263,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"25","issue":"3","first_page":"185","last_page":"190"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9987999796867371,"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":0.9983000159263611,"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"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9973999857902527,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8627611398696899},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7731250524520874},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5596616268157959},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5395978689193726},{"id":"https://openalex.org/keywords/stars","display_name":"Stars","score":0.517468273639679},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4557149410247803},{"id":"https://openalex.org/keywords/star","display_name":"Star (game theory)","score":0.4495781362056732},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08834049105644226},{"id":"https://openalex.org/keywords/astrophysics","display_name":"Astrophysics","score":0.05613601207733154}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8627611398696899},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7731250524520874},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5596616268157959},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5395978689193726},{"id":"https://openalex.org/C150846664","wikidata":"https://www.wikidata.org/wiki/Q7602306","display_name":"Stars","level":2,"score":0.517468273639679},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4557149410247803},{"id":"https://openalex.org/C2780897414","wikidata":"https://www.wikidata.org/wiki/Q7600592","display_name":"Star (game theory)","level":2,"score":0.4495781362056732},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08834049105644226},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.05613601207733154},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1097-0118(199707)25:3<185::aid-jgt2>3.0.co;2-h","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199707)25:3<185::aid-jgt2>3.0.co;2-h","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":0,"referenced_works":[],"related_works":["https://openalex.org/W182374993","https://openalex.org/W120075840","https://openalex.org/W3017839092","https://openalex.org/W2044702560","https://openalex.org/W2887397322","https://openalex.org/W2326808910","https://openalex.org/W3106145554","https://openalex.org/W2883752394","https://openalex.org/W1515478314","https://openalex.org/W4239616847"],"abstract_inverted_index":{"Let":[0],"G":[1],"be":[2],"a":[3,21],"graph":[4],"and":[5,36],"n":[6],"\u2265":[7],"2":[8],"an":[9,60],"integer.":[10],"We":[11],"prove":[12],"that":[13,28,54],"the":[14,52],"following":[15],"are":[16],"equivalent:":[17],"(i)":[18],"there":[19],"is":[20,59],"partition":[22],"(V1,\u2026,Vm)":[23],"of":[24,33,42,56],"V":[25],"(G)":[26],"such":[27],"each":[29,55],"Vi":[30],"induces":[31],"one":[32],"stars":[34],"K1,1,\u2026,K1,n,":[35],"(ii)":[37],"for":[38],"every":[39],"subset":[40],"S":[41,45],"V(G),":[43],"G\\":[44],"has":[46],"at":[47],"most":[48],"n|S|":[49],"components":[50],"with":[51],"property":[53],"their":[57],"blocks":[58],"odd":[61],"order":[62],"complete":[63],"graph.":[64],"\u00a9":[65],"1997":[66,77],"John":[67],"Wiley":[68],"&":[69],"Sons,":[70],"Inc.":[71],"J":[72],"Graph":[73],"Theory":[74],"25:":[75],"185\u2013190,":[76]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}