{"id":"https://openalex.org/W3104438296","doi":"https://doi.org/10.1007/s12190-020-01462-0","title":"Toughness and isolated toughness conditions for $$P_{\\ge 3}$$-factor uniform graphs","display_name":"Toughness and isolated toughness conditions for $$P_{\\ge 3}$$-factor uniform graphs","publication_year":2020,"publication_date":"2020-11-19","ids":{"openalex":"https://openalex.org/W3104438296","doi":"https://doi.org/10.1007/s12190-020-01462-0","mag":"3104438296"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-020-01462-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-020-01462-0","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","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/A5009047078","display_name":"Hongbo Hua","orcid":"https://orcid.org/0000-0001-7152-466X"},"institutions":[{"id":"https://openalex.org/I4210153869","display_name":"Huai'an University","ror":"https://ror.org/0555ezg60","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210153869"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongbo Hua","raw_affiliation_strings":["Faculty of Mathematics and Physics, Huaiyin Institute of Technology, 223003, Huai\u2019an, People\u2019s Republic of China","Faculty of Mathematics and Physics, Huaiyin Institute of Technology, 223003, Huai'an, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-7152-466X","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Physics, Huaiyin Institute of Technology, 223003, Huai\u2019an, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210153869"]},{"raw_affiliation_string":"Faculty of Mathematics and Physics, Huaiyin Institute of Technology, 223003, Huai'an, People's Republic of China","institution_ids":["https://openalex.org/I4210153869"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5009047078"],"corresponding_institution_ids":["https://openalex.org/I4210153869"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":0.65,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.76348448,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"66","issue":"1-2","first_page":"809","last_page":"821"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9987000226974487,"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":0.9987000226974487,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9829000234603882,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9765999913215637,"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":0.749853789806366},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6810120344161987},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5363060235977173},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4830768406391144},{"id":"https://openalex.org/keywords/toughness","display_name":"Toughness","score":0.4577447772026062},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.41316545009613037},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.3369981050491333},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.12190669775009155},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.09551388025283813}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.749853789806366},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6810120344161987},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5363060235977173},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4830768406391144},{"id":"https://openalex.org/C99595764","wikidata":"https://www.wikidata.org/wiki/Q486802","display_name":"Toughness","level":2,"score":0.4577447772026062},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.41316545009613037},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.3369981050491333},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.12190669775009155},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.09551388025283813}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-020-01462-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-020-01462-0","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.44999998807907104}],"awards":[{"id":"https://openalex.org/G1361844235","display_name":null,"funder_award_id":"11571135","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8884323844","display_name":null,"funder_award_id":"11971011","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"},{"id":"https://openalex.org/F4320327794","display_name":"Qinglan Project of Jiangsu Province of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1963596676","https://openalex.org/W1975099798","https://openalex.org/W1983119025","https://openalex.org/W2012966668","https://openalex.org/W2037953913","https://openalex.org/W2048484904","https://openalex.org/W2356765972","https://openalex.org/W2607117956","https://openalex.org/W2984793906"],"related_works":["https://openalex.org/W4400122416","https://openalex.org/W3193236920","https://openalex.org/W4213419526","https://openalex.org/W2226543729","https://openalex.org/W1858680408","https://openalex.org/W4298172984","https://openalex.org/W4383602045","https://openalex.org/W2350445681","https://openalex.org/W3215173006","https://openalex.org/W1984128946"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}