{"id":"https://openalex.org/W2234105203","doi":"https://doi.org/10.1137/16m1056791","title":"Similarity-First Search: A New Algorithm with Application to Robinsonian Matrix Recognition","display_name":"Similarity-First Search: A New Algorithm with Application to Robinsonian Matrix Recognition","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2234105203","doi":"https://doi.org/10.1137/16m1056791","mag":"2234105203"},"language":"en","primary_location":{"id":"doi:10.1137/16m1056791","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1056791","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"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 Discrete Mathematics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1601.03521","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047819350","display_name":"Monique Laurent","orcid":"https://orcid.org/0000-0001-8474-2121"},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Monique Laurent","raw_affiliation_strings":["[Centrum Wiskunde & Informatica]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[Centrum Wiskunde & Informatica]","institution_ids":["https://openalex.org/I1341640284"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006614160","display_name":"Matteo Seminaroti","orcid":null},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Matteo Seminaroti","raw_affiliation_strings":["[Centrum Wiskunde & Informatica]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[Centrum Wiskunde & Informatica]","institution_ids":["https://openalex.org/I1341640284"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4786,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.63746826,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"31","issue":"3","first_page":"1765","last_page":"1800"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9983999729156494,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9983999729156494,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9980999827384949,"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/T11476","display_name":"Graph theory and applications","score":0.9977999925613403,"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/combinatorics","display_name":"Combinatorics","score":0.6724251508712769},{"id":"https://openalex.org/keywords/row","display_name":"Row","score":0.6117743253707886},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6028249263763428},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5937539339065552},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.5741755962371826},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5659796595573425},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5376618504524231},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5350275039672852},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5244398713111877},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.4662413001060486},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.43334415555000305},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.41567185521125793},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3761640191078186},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27910739183425903},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15434551239013672},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.13662514090538025}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6724251508712769},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.6117743253707886},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6028249263763428},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5937539339065552},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.5741755962371826},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5659796595573425},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5376618504524231},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5350275039672852},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5244398713111877},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.4662413001060486},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.43334415555000305},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.41567185521125793},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3761640191078186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27910739183425903},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15434551239013672},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.13662514090538025},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1137/16m1056791","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1056791","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"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 Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:tilburguniversity.edu:openaire_cris_publications/6a7b07cd-5e60-4a1e-b0e4-4dd2d1b54f27","is_oa":false,"landing_page_url":"https://research.tilburguniversity.edu/en/publications/6a7b07cd-5e60-4a1e-b0e4-4dd2d1b54f27","pdf_url":null,"source":{"id":"https://openalex.org/S4406923027","display_name":"Tilburg University Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Laurent, M & Seminaroti, M 2017, 'Similarity-first search : A new algorithm with application to Robinsonian matrix recognition', SIAM Journal on Discrete Mathematics, vol. 31, no. 3, pp. 1765\u20131800. https://doi.org/10.1137/16M1056791","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:1601.03521","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.03521","pdf_url":"https://arxiv.org/pdf/1601.03521","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},{"id":"pmh:oai:cwi.nl:25210","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/25210","pdf_url":"https://ir.cwi.nl/pub/25210/1601.03521v1.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"info:eu-repo/semantics/other"},{"id":"mag:2234105203","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1601.03521","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:uvt:oai:tilburguniversity.edu:publications/8468be57-ed46-400c-9c0e-7d316f21f8c8","is_oa":true,"landing_page_url":"https://research.tilburguniversity.edu/en/publications/8468be57-ed46-400c-9c0e-7d316f21f8c8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/workingpaper"},{"id":"pmh:cwi:oai:cwi.nl:26776","is_oa":false,"landing_page_url":"https://ir.cwi.nl/pub/26776","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Discrete Mathematics, 31(3), 1765 - 1800","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:tiu:tiutis:8468be57-ed46-400c-9c0e-7d316f21f8c8","is_oa":false,"landing_page_url":"https://repository.tilburguniversity.edu/bitstreams/f8655c74-8044-46e6-b2e2-599200cc04aa/download","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"preprint"},{"id":"doi:10.48550/arxiv.1601.03521","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1601.03521","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1601.03521","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.03521","pdf_url":"https://arxiv.org/pdf/1601.03521","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2234105203.pdf","grobid_xml":"https://content.openalex.org/works/W2234105203.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W603817806","https://openalex.org/W615760884","https://openalex.org/W1547869399","https://openalex.org/W1567301058","https://openalex.org/W1631636474","https://openalex.org/W1949523763","https://openalex.org/W1990242495","https://openalex.org/W1994466493","https://openalex.org/W1996697881","https://openalex.org/W1998389851","https://openalex.org/W2000138132","https://openalex.org/W2006935644","https://openalex.org/W2021111619","https://openalex.org/W2024491681","https://openalex.org/W2037583329","https://openalex.org/W2040277794","https://openalex.org/W2054897957","https://openalex.org/W2068361557","https://openalex.org/W2086423153","https://openalex.org/W2086738178","https://openalex.org/W2099116730","https://openalex.org/W2103562949","https://openalex.org/W2133120537","https://openalex.org/W2137818934","https://openalex.org/W2161426837","https://openalex.org/W2167573667","https://openalex.org/W2193295754","https://openalex.org/W2312474531","https://openalex.org/W2327481224","https://openalex.org/W2590904539","https://openalex.org/W2953051110","https://openalex.org/W4229688926"],"related_works":["https://openalex.org/W2963971420","https://openalex.org/W2064911240","https://openalex.org/W1890233125","https://openalex.org/W3149702735","https://openalex.org/W1571645901","https://openalex.org/W2152290683","https://openalex.org/W2605384476","https://openalex.org/W2538469359","https://openalex.org/W2024353273","https://openalex.org/W3138324024","https://openalex.org/W1541190831","https://openalex.org/W2963047374","https://openalex.org/W2053834570","https://openalex.org/W1499899505","https://openalex.org/W1600504757","https://openalex.org/W2913012475","https://openalex.org/W2949614607","https://openalex.org/W1638908329","https://openalex.org/W3037420592","https://openalex.org/W103713639"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,10,47,68,90],"new":[3,48,108,117],"efficient":[4],"combinatorial":[5,121],"algorithm":[6,70,85,99,110],"for":[7,102],"recognizing":[8,103],"if":[9,17],"given":[11],"symmetric":[12],"matrix":[13,131],"is":[14,111],"Robinsonian,":[15],"i.e.,":[16],"its":[18],"rows":[19,33],"and":[20,34,63,114],"columns":[21,35],"can":[22,86],"be":[23,87],"simultaneously":[24],"reordered":[25],"so":[26],"that":[27],"entries":[28],"are":[29],"monotone":[30],"nondecreasing":[31],"in":[32,67,138],"when":[36],"moving":[37],"toward":[38],"the":[39,42,96,120],"diagonal.":[40],"As":[41],"main":[43],"ingredient":[44],"we":[45,65],"introduce":[46],"algorithm,":[49],"named":[50],"Similarity-First":[51],"Search":[52],"(SFS),":[53],"which":[54,64],"extends":[55],"lexicographic":[56],"breadth-first":[57],"search":[58],"(Lex-BFS)":[59],"to":[60,71,80,92],"weighted":[61,93],"graphs":[62,94],"use":[66],"multisweep":[69],"recognize":[72],"Robinsonian":[73,76,124],"matrices.":[74,125],"Since":[75],"binary":[77],"matrices":[78],"correspond":[79],"unit":[81,104],"interval":[82,105],"graphs,":[83],"our":[84],"seen":[88],"as":[89],"generalization":[91],"of":[95,100,123],"3-sweep":[97],"Lex-BFS":[98],"Corneil":[101],"graphs.":[106],"This":[107],"recognition":[109],"extremely":[112],"simple":[113],"it":[115,136],"exploits":[116],"insight":[118],"on":[119],"structure":[122],"For":[126],"an":[127],"$n\\times":[128],"n$":[129],"nonnegative":[130],"with":[132,142],"$m$":[133],"nonzero":[134],"entries,":[135],"terminates":[137],"$n-1$":[139],"SFS":[140],"sweeps,":[141],"overall":[143],"running":[144],"time":[145],"$O(n^2":[146],"+nm\\log":[147],"n)$.":[148]},"counts_by_year":[{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2022-08-17T00:00:00"}