{"id":"https://openalex.org/W4200273090","doi":"https://doi.org/10.1007/s00373-021-02429-z","title":"The Sharp Upper Bounds on the $$A_{\\alpha }$$-Spectral Radius of $$C_4$$-Free Graphs and Halin Graphs","display_name":"The Sharp Upper Bounds on the $$A_{\\alpha }$$-Spectral Radius of $$C_4$$-Free Graphs and Halin Graphs","publication_year":2021,"publication_date":"2021-12-15","ids":{"openalex":"https://openalex.org/W4200273090","doi":"https://doi.org/10.1007/s00373-021-02429-z"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-021-02429-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-021-02429-z","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/A5110222159","display_name":"Shu-Guang Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I4210141689","display_name":"Yancheng Teachers University","ror":"https://ror.org/042k5fe81","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210141689"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shu-Guang Guo","raw_affiliation_strings":["School of Mathematics and Statistics, Yancheng Teachers University, Yancheng, 224002, Jiangsu, People\u2019s Republic of China","School of Mathematics and Statistics, Yancheng Teachers University, Yancheng, 224002, Jiangsu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Yancheng Teachers University, Yancheng, 224002, Jiangsu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210141689"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Yancheng Teachers University, Yancheng, 224002, Jiangsu, People's Republic of China","institution_ids":["https://openalex.org/I4210141689"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022325814","display_name":"Rong Zhang","orcid":"https://orcid.org/0000-0002-9872-2954"},"institutions":[{"id":"https://openalex.org/I4210141689","display_name":"Yancheng Teachers University","ror":"https://ror.org/042k5fe81","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210141689"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rong Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Yancheng Teachers University, Yancheng, 224002, Jiangsu, People\u2019s Republic of China","School of Mathematics and Statistics, Yancheng Teachers University, Yancheng, 224002, Jiangsu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Yancheng Teachers University, Yancheng, 224002, Jiangsu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210141689"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Yancheng Teachers University, Yancheng, 224002, Jiangsu, People's Republic of China","institution_ids":["https://openalex.org/I4210141689"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110222159"],"corresponding_institution_ids":["https://openalex.org/I4210141689"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.6824,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.84871576,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"38","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":1.0,"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9958000183105469,"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":0.9954000115394592,"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/combinatorics","display_name":"Combinatorics","score":0.900498628616333},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8711475133895874},{"id":"https://openalex.org/keywords/spectral-radius","display_name":"Spectral radius","score":0.7545013427734375},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.7046912908554077},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.47415608167648315},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.43823152780532837},{"id":"https://openalex.org/keywords/alpha","display_name":"Alpha (finance)","score":0.4234235882759094},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41667401790618896},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3614279329776764},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09266874194145203},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08103790879249573}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.900498628616333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8711475133895874},{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.7545013427734375},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.7046912908554077},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.47415608167648315},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.43823152780532837},{"id":"https://openalex.org/C64943373","wikidata":"https://www.wikidata.org/wiki/Q2651003","display_name":"Alpha (finance)","level":4,"score":0.4234235882759094},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41667401790618896},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3614279329776764},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09266874194145203},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08103790879249573},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"score":0.0},{"id":"https://openalex.org/C49453240","wikidata":"https://www.wikidata.org/wiki/Q1592163","display_name":"Construct validity","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-021-02429-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-021-02429-z","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/G6130244532","display_name":null,"funder_award_id":"12171222","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G950299693","display_name":null,"funder_award_id":"12071411","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W855190808","https://openalex.org/W1676972809","https://openalex.org/W1976377840","https://openalex.org/W1989610127","https://openalex.org/W2031135577","https://openalex.org/W2093082792","https://openalex.org/W2431754965","https://openalex.org/W2580704452","https://openalex.org/W2605487759","https://openalex.org/W2792150548","https://openalex.org/W2794355847","https://openalex.org/W2887052616","https://openalex.org/W2963258333","https://openalex.org/W2963484794","https://openalex.org/W2963489786","https://openalex.org/W2998040610","https://openalex.org/W3001427629","https://openalex.org/W3021831764","https://openalex.org/W3134249740","https://openalex.org/W4205281255","https://openalex.org/W4229629829","https://openalex.org/W4253574313"],"related_works":["https://openalex.org/W2916099937","https://openalex.org/W3212511551","https://openalex.org/W1977164446","https://openalex.org/W2551731678","https://openalex.org/W3013964802","https://openalex.org/W2619587099","https://openalex.org/W3140753826","https://openalex.org/W4297821226","https://openalex.org/W2982430984","https://openalex.org/W2369247774"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
