{"id":"https://openalex.org/W4405461240","doi":"https://doi.org/10.1007/s00373-024-02872-8","title":"On Fan\u2019s Conjecture About 4-Flow","display_name":"On Fan\u2019s Conjecture About 4-Flow","publication_year":2024,"publication_date":"2024-12-17","ids":{"openalex":"https://openalex.org/W4405461240","doi":"https://doi.org/10.1007/s00373-024-02872-8"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-024-02872-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-024-02872-8","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","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/A5102520035","display_name":"Deping Song","orcid":"https://orcid.org/0009-0001-7831-1461"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Deping Song","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang Normal University, Jinhua, 321004, China"],"raw_orcid":"https://orcid.org/0009-0001-7831-1461","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang Normal University, Jinhua, 321004, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023425805","display_name":"Shuang Li","orcid":"https://orcid.org/0000-0002-5650-8060"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuang Li","raw_affiliation_strings":["Laboratory of Mathematics and Complex (System Ministry of Education), School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Complex (System Ministry of Education), School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100411516","display_name":"Xiao Wang","orcid":"https://orcid.org/0000-0003-2335-8075"},"institutions":[{"id":"https://openalex.org/I4210101072","display_name":"Shangluo University","ror":"https://ror.org/01a56n213","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210101072"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao Wang","raw_affiliation_strings":["College of Mathematics and Computer Application, Shangluo University, Shangluo, 726000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Application, Shangluo University, Shangluo, 726000, China","institution_ids":["https://openalex.org/I4210101072"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102520035"],"corresponding_institution_ids":["https://openalex.org/I135237710"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3457,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66493708,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"41","issue":"1","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":0.9997000098228455,"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":0.9997000098228455,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9944999814033508,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.991599977016449,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8819499015808105},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7592117786407471},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.72538161277771},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6023300290107727},{"id":"https://openalex.org/keywords/cubic-graph","display_name":"Cubic graph","score":0.5535335540771484},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.461574912071228},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4292263388633728},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3528846502304077},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18619805574417114},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.11137935519218445},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.07559636235237122}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8819499015808105},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7592117786407471},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.72538161277771},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6023300290107727},{"id":"https://openalex.org/C100500283","wikidata":"https://www.wikidata.org/wiki/Q1374495","display_name":"Cubic graph","level":5,"score":0.5535335540771484},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.461574912071228},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4292263388633728},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3528846502304077},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18619805574417114},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.11137935519218445},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.07559636235237122},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-024-02872-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-024-02872-8","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2959211430","display_name":null,"funder_award_id":"2024JC-YBMS-062","funder_id":"https://openalex.org/F4320324173","funder_display_name":"Natural Science Foundation of Shaanxi Province"},{"id":"https://openalex.org/G6151969155","display_name":null,"funder_award_id":"12271438","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8953843838","display_name":null,"funder_award_id":"22SKY111","funder_id":"https://openalex.org/F4320324822","funder_display_name":"Shangluo University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324173","display_name":"Natural Science Foundation of Shaanxi Province","ror":null},{"id":"https://openalex.org/F4320324822","display_name":"Shangluo University","ror":"https://ror.org/01a56n213"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1563416066","https://openalex.org/W2051565157","https://openalex.org/W2073039945","https://openalex.org/W2074695934","https://openalex.org/W2082180692","https://openalex.org/W2314361409","https://openalex.org/W2563294730","https://openalex.org/W3084987570","https://openalex.org/W4232896595","https://openalex.org/W4304777363"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4232403550","https://openalex.org/W623607250","https://openalex.org/W4245429118","https://openalex.org/W4205110281","https://openalex.org/W4212927854","https://openalex.org/W4211151614","https://openalex.org/W4244798043","https://openalex.org/W4361866086","https://openalex.org/W2037002007"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}