{"id":"https://openalex.org/W2735666268","doi":"https://doi.org/10.1155/2019/8247419","title":"Maximum Independent Sets Partition of (<i>n</i>, <i>k</i>)\u2010Star Graphs","display_name":"Maximum Independent Sets Partition of (<i>n</i>, <i>k</i>)\u2010Star Graphs","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2735666268","doi":"https://doi.org/10.1155/2019/8247419","mag":"2735666268"},"language":"en","primary_location":{"id":"doi:10.1155/2019/8247419","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/8247419","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/8247419.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2019/8247419.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007859977","display_name":"Fu-Tao Hu","orcid":"https://orcid.org/0000-0002-4719-5146"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Fu-Tao Hu","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei, 230601"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, 230601","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007859977"],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00359321,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2019","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10829","display_name":"Interconnection Networks and Systems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/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"}}],"keywords":[{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.713302731513977},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6631039381027222},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6388808488845825},{"id":"https://openalex.org/keywords/star","display_name":"Star (game theory)","score":0.597265899181366},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3377952575683594},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06303432583808899}],"concepts":[{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.713302731513977},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6631039381027222},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6388808488845825},{"id":"https://openalex.org/C2780897414","wikidata":"https://www.wikidata.org/wiki/Q7600592","display_name":"Star (game theory)","level":2,"score":0.597265899181366},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3377952575683594},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06303432583808899}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2019/8247419","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/8247419","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/8247419.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:31163f876b754d3d9b485454eb204cbf","is_oa":true,"landing_page_url":"https://doaj.org/article/31163f876b754d3d9b485454eb204cbf","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/8247419","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/8247419","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/8247419.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3703625069","display_name":null,"funder_award_id":"11401004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5176088256","display_name":null,"funder_award_id":"1708085MA01","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2735666268.pdf","grobid_xml":"https://content.openalex.org/works/W2735666268.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W122310638","https://openalex.org/W604158355","https://openalex.org/W1578760407","https://openalex.org/W1999761254","https://openalex.org/W2007132697","https://openalex.org/W2008268599","https://openalex.org/W2009757938","https://openalex.org/W2009913380","https://openalex.org/W2022265150","https://openalex.org/W2026666225","https://openalex.org/W2036055324","https://openalex.org/W2060330282","https://openalex.org/W2073003370","https://openalex.org/W2094971017","https://openalex.org/W2104852618","https://openalex.org/W2117454844","https://openalex.org/W2118797705","https://openalex.org/W2150082598","https://openalex.org/W2166582984"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"The":[0,13],"(":[1,42,63,86],"n":[2,43,64,87],",":[3,44,65,88],"k":[4,45,66,89],")\u2010star":[5,46,67,90],"graph":[6,21,27,47],"is":[7],"a":[8,20,57],"very":[9],"important":[10,24],"computer":[11],"modelling.":[12],"independent":[14,59,80],"number":[15,18,81,84],"and":[16,82],"chromatic":[17,83],"of":[19,36,40,62,78,85],"are":[22],"two":[23,38],"parameters":[25,39],"in":[26],"theory.":[28],"However,":[29],"we":[30,55,71],"have":[31],"not":[32],"known":[33],"the":[34,41,75,79],"values":[35],"these":[37],"since":[48],"it":[49],"was":[50],"proposed.":[51],"In":[52],"this":[53],"paper,":[54],"show":[56],"maximum":[58],"sets":[60],"partition":[61],"graph.":[68,91],"From":[69],"that,":[70],"can":[72],"immediately":[73],"deduce":[74],"exact":[76],"value":[77]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2017-07-21T00:00:00"}