{"id":"https://openalex.org/W2094589501","doi":"https://doi.org/10.1137/s089547989528586x","title":"On the Spectral Radius of (0,1)-Matrices with 1\u2019s in Prescribed Positions","display_name":"On the Spectral Radius of (0,1)-Matrices with 1\u2019s in Prescribed Positions","publication_year":1996,"publication_date":"1996-07-01","ids":{"openalex":"https://openalex.org/W2094589501","doi":"https://doi.org/10.1137/s089547989528586x","mag":"2094589501"},"language":"en","primary_location":{"id":"doi:10.1137/s089547989528586x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s089547989528586x","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis 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/A5061925223","display_name":"Richard A. Brualdi","orcid":"https://orcid.org/0000-0002-0841-7375"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Richard A. Brualdi","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5079148649","display_name":"Suk-Geun Hwang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Suk-Geun Hwang","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061925223"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0117,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.77290421,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"3","first_page":"489","last_page":"508"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9958000183105469,"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/spectral-radius","display_name":"Spectral radius","score":0.9069941639900208},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8940625786781311},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.7387412190437317},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.6337689161300659},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6064404249191284},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5275107026100159},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5268039703369141},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.4321726858615875},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4215216040611267},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2772730588912964},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.19678956270217896},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14179089665412903},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09759140014648438}],"concepts":[{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.9069941639900208},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8940625786781311},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.7387412190437317},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.6337689161300659},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6064404249191284},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5275107026100159},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5268039703369141},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.4321726858615875},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4215216040611267},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2772730588912964},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.19678956270217896},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14179089665412903},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09759140014648438},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s089547989528586x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s089547989528586x","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis 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":8,"referenced_works":["https://openalex.org/W1500921805","https://openalex.org/W1990694373","https://openalex.org/W1999229680","https://openalex.org/W2016493597","https://openalex.org/W2081551124","https://openalex.org/W2087749018","https://openalex.org/W2119351511","https://openalex.org/W4299798129"],"related_works":["https://openalex.org/W2107559391","https://openalex.org/W2278418704","https://openalex.org/W2350512268","https://openalex.org/W1529195008","https://openalex.org/W2070323717","https://openalex.org/W2380260145","https://openalex.org/W2034395027","https://openalex.org/W3157489721","https://openalex.org/W2028994362","https://openalex.org/W351236607"],"abstract_inverted_index":{"Let":[0],"n":[1,12,14,32],"and":[2,22,37,42],"d":[3,10,43,65],"be":[4],"positive":[5],"integers":[6],"with":[7,78],"$1":[8],"\\leq":[9,11,48,84],"(":[13],"-":[15],"1":[16],")/2$.":[17],"We":[18],"investigate":[19],"the":[20,59,74,88],"maximum":[21,60,79],"minimum":[23,89],"spectral":[24,61,80,90],"radii":[25],"of":[26,30,54,76],"a":[27],"(0,":[28],"1)-matrix":[29],"order":[31],"that":[33,57,71],"has":[34],"1\u2019s":[35],"on":[36],"below":[38],"its":[39],"main":[40],"diagonal":[41],"additional":[44],"1\u2019s.":[45],"If":[46],"$d":[47,83],"4$":[49],"we":[50,66,86],"determine":[51,87],"all":[52],"matrices":[53,77],"this":[55],"type":[56],"have":[58],"radius.":[62,81,91],"For":[63,82],"general":[64],"prove":[67],"an":[68],"asymptotic":[69],"result":[70],"severely":[72],"limits":[73],"structure":[75],"n$,":[85]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
