{"id":"https://openalex.org/W3082073217","doi":"https://doi.org/10.1051/ro/2020093","title":"Distance spectral radius of series-reduced trees with parameters","display_name":"Distance spectral radius of series-reduced trees with parameters","publication_year":2020,"publication_date":"2020-09-02","ids":{"openalex":"https://openalex.org/W3082073217","doi":"https://doi.org/10.1051/ro/2020093","mag":"3082073217"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2020093","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2020093","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/01/ro200186.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/01/ro200186.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081570475","display_name":"Yuyuan Deng","orcid":null},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuyuan Deng","raw_affiliation_strings":["School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P.R. China","institution_ids":["https://openalex.org/I187400657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040941897","display_name":"Dangui Li","orcid":null},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dangui Li","raw_affiliation_strings":["School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P.R. China","institution_ids":["https://openalex.org/I187400657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075690334","display_name":"Hongying Lin","orcid":"https://orcid.org/0000-0001-5750-1015"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongying Lin","raw_affiliation_strings":["School of Mathematics, South China University of Technology, Guangzhou 510641, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, South China University of Technology, Guangzhou 510641, P.R. China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049887684","display_name":"Bo Zhou","orcid":"https://orcid.org/0000-0001-7321-9554"},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Zhou","raw_affiliation_strings":["School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P.R. China","institution_ids":["https://openalex.org/I187400657"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3665,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57582483,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"55","issue":null,"first_page":"S2561","last_page":"S2574"},"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9901999831199646,"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/distance-matrix","display_name":"Distance matrix","score":0.875760555267334},{"id":"https://openalex.org/keywords/spectral-radius","display_name":"Spectral radius","score":0.8045071363449097},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7907860279083252},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7447699904441833},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7416844367980957},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6169155240058899},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.529952883720398},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5156816244125366},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.4844101071357727},{"id":"https://openalex.org/keywords/distance-matrices-in-phylogeny","display_name":"Distance matrices in phylogeny","score":0.4818771779537201},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.44096407294273376},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.4196379780769348},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4106101989746094},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41013944149017334},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2506640553474426},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17548754811286926},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07222446799278259}],"concepts":[{"id":"https://openalex.org/C111208986","wikidata":"https://www.wikidata.org/wiki/Q901698","display_name":"Distance matrix","level":2,"score":0.875760555267334},{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.8045071363449097},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7907860279083252},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7447699904441833},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7416844367980957},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6169155240058899},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.529952883720398},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5156816244125366},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.4844101071357727},{"id":"https://openalex.org/C5349765","wikidata":"https://www.wikidata.org/wiki/Q5282866","display_name":"Distance matrices in phylogeny","level":2,"score":0.4818771779537201},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.44096407294273376},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.4196379780769348},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4106101989746094},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41013944149017334},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2506640553474426},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17548754811286926},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07222446799278259},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1051/ro/2020093","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2020093","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/01/ro200186.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:edpsciences.org:dkey/10.1051/ro/2020093","is_oa":true,"landing_page_url":"https://www.rairo-ro.org/10.1051/ro/2020093/pdf","pdf_url":"https://www.rairo-ro.org/10.1051/ro/2020093/pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1051/ro/2020093","raw_type":"Text"},{"id":"pmh:oai:numdam.org:RO_2021__55_S1_S2561_0","is_oa":false,"landing_page_url":"https://www.numdam.org/articles/10.1051/ro/2020093/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1051/ro/2020093","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2020093","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/01/ro200186.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1438034998","display_name":null,"funder_award_id":"No. 11671156","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4960214153","display_name":null,"funder_award_id":"11671156","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3082073217.pdf","grobid_xml":"https://content.openalex.org/works/W3082073217.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1528326162","https://openalex.org/W1749144997","https://openalex.org/W1980852274","https://openalex.org/W1984863212","https://openalex.org/W1989875658","https://openalex.org/W1998035585","https://openalex.org/W2010541377","https://openalex.org/W2027197459","https://openalex.org/W2050745284","https://openalex.org/W2059494849","https://openalex.org/W2062331061","https://openalex.org/W2075167911","https://openalex.org/W2094856097","https://openalex.org/W2116617159","https://openalex.org/W2136506615","https://openalex.org/W2146626860","https://openalex.org/W2187237208","https://openalex.org/W2295877208","https://openalex.org/W2347020202","https://openalex.org/W2529166148","https://openalex.org/W2593779793","https://openalex.org/W2771387978","https://openalex.org/W2778065461","https://openalex.org/W2785506964","https://openalex.org/W2949912983","https://openalex.org/W2963609423","https://openalex.org/W2995997386","https://openalex.org/W3006488477","https://openalex.org/W3016902131"],"related_works":["https://openalex.org/W3166728817","https://openalex.org/W2962954592","https://openalex.org/W1803810968","https://openalex.org/W4312222278","https://openalex.org/W2050745284","https://openalex.org/W2116617159","https://openalex.org/W2146626860","https://openalex.org/W1984863212","https://openalex.org/W2613198330","https://openalex.org/W2771387978"],"abstract_inverted_index":{"For":[0],"a":[1,10,53],"connected":[2],"graph":[3],"G":[4,30,37,47],",":[5,17],"the":[6,14,21,39,43,75],"distance":[7,22,33,44,76],"matrix":[8,12,45],"is":[9,20,38,52],"real-symmetric":[11],"where":[13],"(":[15],"u":[16,25],"v":[18,28],")-entry":[19],"between":[23],"vertex":[24,27,60],"and":[26,61,88,91,99],"in":[29],".":[31,48],"The":[32],"spectral":[34,77],"radius":[35,78],"of":[36,42,46,101],"largest":[40],"eigenvalue":[41],"A":[49],"series-reduced":[50,71,83,94],"tree":[51,54],"with":[55,85,96],"at":[56,67],"least":[57,68],"one":[58],"internal":[59,63],"all":[62,82,93],"vertices":[64],"having":[65],"degree":[66,90],"three.":[69],"Those":[70],"trees":[72,84,95],"that":[73],"maximize":[74],"are":[79],"determined":[80],"over":[81,92],"fixed":[86,97],"order":[87,98],"maximum":[89],"number":[100],"leaves,":[102],"respectively.":[103]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}