{"id":"https://openalex.org/W1971843236","doi":"https://doi.org/10.1142/s1793830911001152","title":"TWO SHARP UPPER BOUNDS FOR THE SIGNLESS LAPLACIAN SPECTRAL RADIUS OF GRAPHS","display_name":"TWO SHARP UPPER BOUNDS FOR THE SIGNLESS LAPLACIAN SPECTRAL RADIUS OF GRAPHS","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W1971843236","doi":"https://doi.org/10.1142/s1793830911001152","mag":"1971843236"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830911001152","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830911001152","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and Applications","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/A5045270019","display_name":"Yahong Chen","orcid":"https://orcid.org/0000-0003-3258-8032"},"institutions":[{"id":"https://openalex.org/I3129496460","display_name":"Lishui University","ror":"https://ror.org/0418kp584","country_code":"CN","type":"education","lineage":["https://openalex.org/I3129496460"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"YA-HONG CHEN","raw_affiliation_strings":["Teacher Education College, Lishui University, Lishui, Zhejiang 323000, P. R. China"],"affiliations":[{"raw_affiliation_string":"Teacher Education College, Lishui University, Lishui, Zhejiang 323000, P. R. China","institution_ids":["https://openalex.org/I3129496460"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024644860","display_name":"Rong-Ying Pan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210092223","display_name":"Suzhou Vocational University","ror":"https://ror.org/00hn8pj83","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092223"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"RONG-YING PAN","raw_affiliation_strings":["Suzhou Vocational University Suzhou, Jiangsu 210000, P. R. China"],"affiliations":[{"raw_affiliation_string":"Suzhou Vocational University Suzhou, Jiangsu 210000, P. R. China","institution_ids":["https://openalex.org/I4210092223"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100376227","display_name":"Xiao\u2010Dong Zhang","orcid":"https://orcid.org/0000-0003-0783-051X"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"XIAO-DONG ZHANG","raw_affiliation_strings":["Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, 200240, P. R. China","DEPARTMENT OF MATHEMATICS; SHANGHAI JIAO TONG UNIVERSITY; 800 DONGCHUAN ROAD; SHANGHAI; 200240; P. R. CHINA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, 200240, P. R. China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"DEPARTMENT OF MATHEMATICS; SHANGHAI JIAO TONG UNIVERSITY; 800 DONGCHUAN ROAD; SHANGHAI; 200240; P. R. CHINA","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045270019"],"corresponding_institution_ids":["https://openalex.org/I3129496460"],"apc_list":null,"apc_paid":null,"fwci":1.13411674,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.74619547,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"03","issue":"02","first_page":"185","last_page":"191"},"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.996399998664856,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9872000217437744,"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/spectral-radius","display_name":"Spectral radius","score":0.8697748184204102},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7989351749420166},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.7688450813293457},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6762646436691284},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6629803776741028},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.598726749420166},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5296642184257507},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5005016326904297},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.4904308021068573},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.464760422706604},{"id":"https://openalex.org/keywords/degree-matrix","display_name":"Degree matrix","score":0.4482451379299164},{"id":"https://openalex.org/keywords/graph-energy","display_name":"Graph energy","score":0.4215260148048401},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37733161449432373},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.30075061321258545},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22789061069488525},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.09567323327064514},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.0930456817150116},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07348108291625977},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06869068741798401}],"concepts":[{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.8697748184204102},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7989351749420166},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.7688450813293457},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6762646436691284},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6629803776741028},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.598726749420166},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5296642184257507},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5005016326904297},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.4904308021068573},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.464760422706604},{"id":"https://openalex.org/C162199024","wikidata":"https://www.wikidata.org/wiki/Q3085391","display_name":"Degree matrix","level":5,"score":0.4482451379299164},{"id":"https://openalex.org/C78913703","wikidata":"https://www.wikidata.org/wiki/Q5597087","display_name":"Graph energy","level":5,"score":0.4215260148048401},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37733161449432373},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.30075061321258545},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22789061069488525},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.09567323327064514},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0930456817150116},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07348108291625977},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06869068741798401},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830911001152","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830911001152","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1963972604","https://openalex.org/W1966432171","https://openalex.org/W1999545720","https://openalex.org/W2021533461","https://openalex.org/W2029834907","https://openalex.org/W2039063640","https://openalex.org/W2044994579","https://openalex.org/W2066315387","https://openalex.org/W2068332510","https://openalex.org/W2080062770","https://openalex.org/W2084318911","https://openalex.org/W2105462195","https://openalex.org/W4232112990"],"related_works":["https://openalex.org/W3033749614","https://openalex.org/W4318995835","https://openalex.org/W2575552581","https://openalex.org/W2093045827","https://openalex.org/W2963150133","https://openalex.org/W2748456403","https://openalex.org/W2105661768","https://openalex.org/W4291014512","https://openalex.org/W2361349031","https://openalex.org/W4283838100"],"abstract_inverted_index":{"The":[0],"signless":[1,55],"Laplacian":[2,56],"matrix":[3,33],"of":[4,10,30,34],"a":[5,22,35],"graph":[6],"is":[7],"the":[8,27,31,54,60],"sum":[9],"its":[11],"degree":[12],"diagonal":[13],"and":[14,40],"adjacency":[15,32],"matrices.":[16],"In":[17],"this":[18,38],"paper,":[19],"we":[20],"present":[21],"sharp":[23,50],"upper":[24,51,66],"bound":[25,67],"for":[26,53],"spectral":[28,57],"radius":[29],"graph.":[36],"Then":[37],"result":[39],"other":[41],"known":[42],"results":[43],"are":[44,68],"used":[45],"to":[46],"obtain":[47],"two":[48],"new":[49],"bounds":[52],"radius.":[58],"Moreover,":[59],"extremal":[61],"graphs":[62],"which":[63],"attain":[64],"an":[65],"characterized.":[69]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
