{"id":"https://openalex.org/W2905723504","doi":"https://doi.org/10.1142/s0129626418500172","title":"Fractional Matching Preclusion for (<i>n</i>,<i>k</i>)-Star Graphs","display_name":"Fractional Matching Preclusion for (<i>n</i>,<i>k</i>)-Star Graphs","publication_year":2018,"publication_date":"2018-12-01","ids":{"openalex":"https://openalex.org/W2905723504","doi":"https://doi.org/10.1142/s0129626418500172","mag":"2905723504"},"language":"en","primary_location":{"id":"doi:10.1142/s0129626418500172","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129626418500172","pdf_url":null,"source":{"id":"https://openalex.org/S18360026","display_name":"Parallel Processing Letters","issn_l":"0129-6264","issn":["0129-6264","1793-642X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Processing Letters","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/A5051268709","display_name":"Tianlong Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I116265982","display_name":"Qinghai University","ror":"https://ror.org/05h33bt13","country_code":"CN","type":"education","lineage":["https://openalex.org/I116265982"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianlong Ma","raw_affiliation_strings":["Department of Basic Research, Qinghai University, Xining, Qinghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Basic Research, Qinghai University, Xining, Qinghai, China","institution_ids":["https://openalex.org/I116265982"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103286474","display_name":"Yaping Mao","orcid":"https://orcid.org/0000-0001-9134-237X"},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yaping Mao","raw_affiliation_strings":["School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai, China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069246449","display_name":"Eddie Cheng","orcid":"https://orcid.org/0000-0003-4526-7983"},"institutions":[{"id":"https://openalex.org/I177721651","display_name":"Oakland University","ror":"https://ror.org/01ythxj32","country_code":"US","type":"education","lineage":["https://openalex.org/I177721651"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eddie Cheng","raw_affiliation_strings":["Department of Mathematics and Statistics, Oakland University, Rochester, MI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Oakland University, Rochester, MI, USA","institution_ids":["https://openalex.org/I177721651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084663148","display_name":"Jinling Wang","orcid":"https://orcid.org/0000-0003-3224-5558"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinling Wang","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang, China","institution_ids":["https://openalex.org/I96908189"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5103286474"],"corresponding_institution_ids":["https://openalex.org/I20616075"],"apc_list":null,"apc_paid":null,"fwci":1.1072,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.81154027,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"28","issue":"04","first_page":"1850017","last_page":"1850017"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9970999956130981,"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":0.9843000173568726,"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/combinatorics","display_name":"Combinatorics","score":0.8608121871948242},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7874281406402588},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.6202366352081299},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4680860638618469},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46641644835472107},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.46335604786872864},{"id":"https://openalex.org/keywords/3-dimensional-matching","display_name":"3-dimensional matching","score":0.41589030623435974},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.26407933235168457}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8608121871948242},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7874281406402588},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6202366352081299},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4680860638618469},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46641644835472107},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.46335604786872864},{"id":"https://openalex.org/C72545166","wikidata":"https://www.wikidata.org/wiki/Q10866593","display_name":"3-dimensional matching","level":4,"score":0.41589030623435974},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.26407933235168457},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129626418500172","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129626418500172","pdf_url":null,"source":{"id":"https://openalex.org/S18360026","display_name":"Parallel Processing Letters","issn_l":"0129-6264","issn":["0129-6264","1793-642X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G2375868830","display_name":null,"funder_award_id":"11601254","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1561272249","https://openalex.org/W1578760407","https://openalex.org/W1626629448","https://openalex.org/W1981565664","https://openalex.org/W1985061810","https://openalex.org/W2007968776","https://openalex.org/W2009913380","https://openalex.org/W2020288150","https://openalex.org/W2026666225","https://openalex.org/W2036055324","https://openalex.org/W2042641331","https://openalex.org/W2177887280","https://openalex.org/W2264766799","https://openalex.org/W2530372149","https://openalex.org/W2781705660","https://openalex.org/W4232896595","https://openalex.org/W4245743540"],"related_works":["https://openalex.org/W1725047827","https://openalex.org/W3131597004","https://openalex.org/W779479123","https://openalex.org/W4298031576","https://openalex.org/W1518546215","https://openalex.org/W2183261757","https://openalex.org/W2372768926","https://openalex.org/W3092062451","https://openalex.org/W2798321768","https://openalex.org/W2579720493"],"abstract_inverted_index":{"The":[0,44,70],"matching":[1,39,122],"preclusion":[2,40,123],"number":[3,10,41,56,83,106,110],"of":[4,11,37,51,57,78,84,125],"a":[5,17,29,66,95],"graph":[6,18,64,93],"is":[7,53,80],"the":[8,35,54,62,81,91,104,108,118],"minimum":[9,55,82],"edges":[12,58,87],"whose":[13,59,88],"deletion":[14,60,89],"results":[15],"in":[16,42],"that":[19],"has":[20],"neither":[21],"perfect":[22,26,68,97],"matchings":[23],"nor":[24],"almost":[25],"matchings.":[27],"As":[28],"generalization,":[30],"Liu":[31,33],"and":[32,107],"introduced":[34],"concept":[36],"fractional":[38,67,96,120],"2017.":[43],"Fractional":[45,71],"Matching":[46,73],"Preclusion":[47,74],"Number":[48,75],"(FMP":[49],"number)":[50,77],"G":[52,79],"leaves":[61,90],"resulting":[63,92],"without":[65,94],"matching.":[69,98],"Strong":[72],"(FSMP":[76],"vertices":[85],"and/or":[86],"In":[99,115],"this":[100],"paper,":[101],"we":[102],"obtain":[103],"FMP":[105],"FSMP":[109],"for":[111],"(n,":[112],"k)-star":[113],"graphs.":[114],"addition,":[116],"all":[117],"optimal":[119],"strong":[121],"sets":[124],"these":[126],"graphs":[127],"are":[128],"categorized.":[129]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
