{"id":"https://openalex.org/W4400513378","doi":"https://doi.org/10.61091/ars159-01","title":"On Fractional ID-\\((g,f)\\)-factor-critical Covered Graphs","display_name":"On Fractional ID-\\((g,f)\\)-factor-critical Covered Graphs","publication_year":2024,"publication_date":"2024-06-30","ids":{"openalex":"https://openalex.org/W4400513378","doi":"https://doi.org/10.61091/ars159-01"},"language":"en","primary_location":{"id":"doi:10.61091/ars159-01","is_oa":true,"landing_page_url":"http://dx.doi.org/10.61091/ars159-01","pdf_url":"https://combinatorialpress.com/article/ars/on-fractional-id-gf-factor-critical-covered-graphs.pdf","source":{"id":"https://openalex.org/S73158690","display_name":"Ars Combinatoria","issn_l":"0381-7032","issn":["0381-7032","2817-5204"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4323439501","host_organization_name":"Charles Babbage Research Centre","host_organization_lineage":["https://openalex.org/P4323439501"],"host_organization_lineage_names":["Charles Babbage Research Centre"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Combinatoria","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://combinatorialpress.com/article/ars/on-fractional-id-gf-factor-critical-covered-graphs.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101764220","display_name":"Sizhong Zhou","orcid":"https://orcid.org/0000-0003-2093-2158"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sizhong Zhou","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101764220"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12365457,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"159","issue":"1","first_page":"03","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994999766349792,"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":0.9994999766349792,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.996999979019165,"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":0.9945999979972839,"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/mathematics","display_name":"Mathematics","score":0.8058071136474609},{"id":"https://openalex.org/keywords/factor","display_name":"Factor (programming language)","score":0.5623893737792969},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3393166661262512},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08812418580055237},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.029621392488479614}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8058071136474609},{"id":"https://openalex.org/C2781039887","wikidata":"https://www.wikidata.org/wiki/Q1391724","display_name":"Factor (programming language)","level":2,"score":0.5623893737792969},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3393166661262512},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08812418580055237},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.029621392488479614}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.61091/ars159-01","is_oa":true,"landing_page_url":"http://dx.doi.org/10.61091/ars159-01","pdf_url":"https://combinatorialpress.com/article/ars/on-fractional-id-gf-factor-critical-covered-graphs.pdf","source":{"id":"https://openalex.org/S73158690","display_name":"Ars Combinatoria","issn_l":"0381-7032","issn":["0381-7032","2817-5204"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4323439501","host_organization_name":"Charles Babbage Research Centre","host_organization_lineage":["https://openalex.org/P4323439501"],"host_organization_lineage_names":["Charles Babbage Research Centre"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Combinatoria","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.61091/ars159-01","is_oa":true,"landing_page_url":"http://dx.doi.org/10.61091/ars159-01","pdf_url":"https://combinatorialpress.com/article/ars/on-fractional-id-gf-factor-critical-covered-graphs.pdf","source":{"id":"https://openalex.org/S73158690","display_name":"Ars Combinatoria","issn_l":"0381-7032","issn":["0381-7032","2817-5204"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4323439501","host_organization_name":"Charles Babbage Research Centre","host_organization_lineage":["https://openalex.org/P4323439501"],"host_organization_lineage_names":["Charles Babbage Research Centre"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Combinatoria","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3829033658","display_name":null,"funder_award_id":"ZR2023MA078","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G5703611615","display_name":null,"funder_award_id":"333 Project","funder_id":"https://openalex.org/F4320321605","funder_display_name":"Government of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321605","display_name":"Government of Jiangsu Province","ror":"https://ror.org/004svx814"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400513378.pdf","grobid_xml":"https://content.openalex.org/works/W4400513378.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"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":{"A":[0,73,94],"graph":[1,9,46],"\\(G\\)":[2,17],"is":[3,57],"called":[4],"a":[5,27,38,45,49],"fractional":[6,28,50,76,101],"ID-\\((g,f)\\)-factor-critical":[7,51],"covered":[8,52],"if":[10],"for":[11,19,44,97],"any":[12],"independent":[13],"set":[14],"\\(I\\)":[15],"of":[16,60,80,105],"and":[18,63,83,88],"every":[20],"edge":[21],"\\(e":[22],"\\in":[23],"E(G-I)\\),":[24],"\\(G-I\\)":[25],"has":[26],"\\((g,f)\\)-factor":[29],"\\(h\\)":[30],"such":[31],"that":[32],"\\(h(e)":[33],"=":[34],"1\\).":[35],"We":[36],"give":[37],"sufficient":[39],"condition":[40,43,96],"using":[41],"degree":[42,95],"to":[47,99],"be":[48,100],"graph.":[53],"Our":[54],"main":[55],"result":[56,66,74,91],"an":[58],"extension":[59],"Zhou,":[61,68],"Bian,":[62,70],"Wu\u2019s":[64],"previous":[65,90],"[S.":[67],"Q.":[69],"J.":[71],"Wu,":[72],"on":[75],"ID-\\(k\\)-factor-critical":[77],"graphs,":[78],"Journal":[79,104],"Combinatorial":[81,84],"Mathematics":[82],"Computing":[85],"87(2013)":[86],"229\u2013236]":[87],"Yashima\u2019s":[89],"[T.":[92],"Yashima,":[93],"graphs":[98],"ID-\\([a,b]\\)-factor-critical,":[102],"Australasian":[103],"Combinatorics":[106],"65(2016)":[107],"191\u2013199].":[108]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}