{"id":"https://openalex.org/W4381616628","doi":"https://doi.org/10.1142/s021926592350010x","title":"Tight Toughness, Isolated Toughness and Binding Number Bounds for the [1,n]-Factors and the {K2,Ci\u22654}-Factors","display_name":"Tight Toughness, Isolated Toughness and Binding Number Bounds for the [1,n]-Factors and the {K2,Ci\u22654}-Factors","publication_year":2023,"publication_date":"2023-06-22","ids":{"openalex":"https://openalex.org/W4381616628","doi":"https://doi.org/10.1142/s021926592350010x"},"language":"en","primary_location":{"id":"doi:10.1142/s021926592350010x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021926592350010x","pdf_url":null,"source":{"id":"https://openalex.org/S63112013","display_name":"Journal of Interconnection Networks","issn_l":"0219-2659","issn":["0219-2659","1793-6713"],"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":"Journal of Interconnection Networks","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/A5100927768","display_name":"Xiao Xu","orcid":null},"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":false,"raw_author_name":"Xiao Xu","raw_affiliation_strings":["School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, P. R. China","School of Mathematics and Statistics, Qinghai Normal, University, Xining, Qinghai 810008, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, P. R. China","institution_ids":["https://openalex.org/I20616075"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Qinghai Normal, University, Xining, Qinghai 810008, P. R. China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104133249","display_name":"Zhuoma Gao","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":true,"raw_author_name":"Zhuoma Gao","raw_affiliation_strings":["College of Mathematics and Physics, Qinghai University, Xining, Qinghai 810016, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Physics, Qinghai University, Xining, Qinghai 810016, P. R. China","institution_ids":["https://openalex.org/I116265982"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026540169","display_name":"Lei Meng","orcid":"https://orcid.org/0000-0002-3426-8828"},"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":false,"raw_author_name":"Lei Meng","raw_affiliation_strings":["Network Information Management Center, Qinghai Normal University, Xining, Qinghai 810008, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Network Information Management Center, Qinghai Normal University, Xining, Qinghai 810008, P. R. China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064671532","display_name":"Qinghe Tong","orcid":"https://orcid.org/0000-0002-4983-7931"},"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":false,"raw_author_name":"Qinghe Tong","raw_affiliation_strings":["School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, P. R. China","School of Mathematics and Statistics, Qinghai Normal, University, Xining, Qinghai 810008, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, P. R. China","institution_ids":["https://openalex.org/I20616075"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Qinghai Normal, University, Xining, Qinghai 810008, P. R. China","institution_ids":["https://openalex.org/I20616075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5104133249"],"corresponding_institution_ids":["https://openalex.org/I116265982"],"apc_list":null,"apc_paid":null,"fwci":0.1727,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50599698,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"24","issue":"01","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9890999794006348,"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":0.9890999794006348,"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":0.9692999720573425,"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/T12534","display_name":"Protein Degradation and Inhibitors","score":0.9624999761581421,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6881140470504761},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5875645875930786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5457044839859009},{"id":"https://openalex.org/keywords/toughness","display_name":"Toughness","score":0.4456087052822113},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3759263753890991},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.09072256088256836},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.047506481409072876}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6881140470504761},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5875645875930786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5457044839859009},{"id":"https://openalex.org/C99595764","wikidata":"https://www.wikidata.org/wiki/Q486802","display_name":"Toughness","level":2,"score":0.4456087052822113},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3759263753890991},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.09072256088256836},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.047506481409072876}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021926592350010x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021926592350010x","pdf_url":null,"source":{"id":"https://openalex.org/S63112013","display_name":"Journal of Interconnection Networks","issn_l":"0219-2659","issn":["0219-2659","1793-6713"],"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":"Journal of Interconnection Networks","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":20,"referenced_works":["https://openalex.org/W1767780339","https://openalex.org/W1975099798","https://openalex.org/W1988845443","https://openalex.org/W1989046128","https://openalex.org/W2001069232","https://openalex.org/W2022902271","https://openalex.org/W2049446912","https://openalex.org/W2082659364","https://openalex.org/W2105800562","https://openalex.org/W2133657109","https://openalex.org/W2335389215","https://openalex.org/W2500673151","https://openalex.org/W2607117956","https://openalex.org/W2619803636","https://openalex.org/W2944187207","https://openalex.org/W3008761226","https://openalex.org/W3153213849","https://openalex.org/W4232896595","https://openalex.org/W4233263631","https://openalex.org/W4244361083"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,8,14,21,25,30,35,46,50,77,81],"see":[2,9,15,22,26,31,36,47,51,78,82],"text]":[3,16,23,27,48],"be":[4],"an":[5],"integer.":[6],"The":[7],"text]-factor":[10,37],"of":[11,75],"a":[12,18,39,85],"graph":[13],"is":[17,38,44],"spanning":[19],"subgraph":[20,40],"if":[24],"for":[28,84],"all":[29],"text],":[32],"and":[33,68,80],"the":[34,58,73,76],"whose":[41],"each":[42],"component":[43],"either":[45],"or":[49],"text].":[52],"In":[53],"this":[54],"paper,":[55],"we":[56],"give":[57],"lower":[59],"bounds":[60],"with":[61],"regard":[62],"to":[63,71],"tight":[64],"toughness,":[65],"isolated":[66],"toughness":[67],"binding":[69],"number":[70],"guarantee":[72],"existence":[74],"text]-factors":[79,83],"graph.":[86]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
