{"id":"https://openalex.org/W2267408218","doi":"https://doi.org/10.3390/a10030074","title":"The Isomorphic Version of Brualdi\u2019s and Sanderson\u2019s Nestedness","display_name":"The Isomorphic Version of Brualdi\u2019s and Sanderson\u2019s Nestedness","publication_year":2017,"publication_date":"2017-06-27","ids":{"openalex":"https://openalex.org/W2267408218","doi":"https://doi.org/10.3390/a10030074","mag":"2267408218"},"language":"en","primary_location":{"id":"doi:10.3390/a10030074","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a10030074","pdf_url":"https://www.mdpi.com/1999-4893/10/3/74/pdf?version=1498568496","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/10/3/74/pdf?version=1498568496","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Annabell Berger","orcid":null},"institutions":[{"id":"https://openalex.org/I68956291","display_name":"Martin Luther University Halle-Wittenberg","ror":"https://ror.org/05gqaka33","country_code":"DE","type":"education","lineage":["https://openalex.org/I68956291"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Annabell Berger","raw_affiliation_strings":["Department of Computer Science, Martin-Luther University, 06120 Halle-Wittenberg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Martin-Luther University, 06120 Halle-Wittenberg, Germany","institution_ids":["https://openalex.org/I68956291"]}]},{"author_position":"last","author":{"id":null,"display_name":"Berit Schreck","orcid":null},"institutions":[{"id":"https://openalex.org/I68956291","display_name":"Martin Luther University Halle-Wittenberg","ror":"https://ror.org/05gqaka33","country_code":"DE","type":"education","lineage":["https://openalex.org/I68956291"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Berit Schreck","raw_affiliation_strings":["Department of Computer Science, Martin-Luther University, 06120 Halle-Wittenberg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Martin-Luther University, 06120 Halle-Wittenberg, Germany","institution_ids":["https://openalex.org/I68956291"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I68956291"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.3542,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.51057184,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"10","issue":"3","first_page":"74","last_page":"74"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.4708000123500824,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.4708000123500824,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11798","display_name":"Optimal Experimental Design Methods","score":0.10440000146627426,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.03880000114440918,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nestedness","display_name":"Nestedness","score":0.9350000023841858},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.8445000052452087},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.6653000116348267},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6158000230789185},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6103000044822693},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.5881999731063843}],"concepts":[{"id":"https://openalex.org/C2780267512","wikidata":"https://www.wikidata.org/wiki/Q6997828","display_name":"Nestedness","level":3,"score":0.9350000023841858},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.8445000052452087},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6704000234603882},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6689000129699707},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6653000116348267},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6158000230789185},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6103000044822693},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.5881999731063843},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5419999957084656},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5187000036239624},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.4934000074863434},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.421099990606308},{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.38909998536109924},{"id":"https://openalex.org/C14166107","wikidata":"https://www.wikidata.org/wiki/Q253829","display_name":"Net (polyhedron)","level":2,"score":0.2874000072479248},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2797999978065491},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.2662000060081482}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/a10030074","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a10030074","pdf_url":"https://www.mdpi.com/1999-4893/10/3/74/pdf?version=1498568496","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1602.02536","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1602.02536","pdf_url":"https://arxiv.org/pdf/1602.02536","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:mdpi.com:/1999-4893/10/3/74/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a10030074","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms; Volume 10; Issue 3; Pages: 74","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a10030074","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a10030074","pdf_url":"https://www.mdpi.com/1999-4893/10/3/74/pdf?version=1498568496","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2267408218.pdf","grobid_xml":"https://content.openalex.org/works/W2267408218.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W621643794","https://openalex.org/W1586029166","https://openalex.org/W2008788144","https://openalex.org/W2015706867","https://openalex.org/W2027566319","https://openalex.org/W2038913120","https://openalex.org/W2122184339","https://openalex.org/W2157274337","https://openalex.org/W2168793216","https://openalex.org/W2321171884","https://openalex.org/W4240416043","https://openalex.org/W6632295583"],"related_works":[],"abstract_inverted_index":{"The":[0],"discrepancy":[1,89,125],"BR":[2,58],"for":[3],"an":[4,91],"m":[5],"\u00d7":[6],"n":[7,101],"0,":[8],"1-matrix":[9],"from":[10],"Brualdi":[11],"and":[12,119],"Sanderson":[13],"in":[14,30,90,121],"1998":[15],"is":[16],"defined":[17],"as":[18,114],"the":[19,34,87,128],"minimum":[20,88,102],"number":[21],"of":[22,45,63],"1":[23,47],"s":[24,48],"that":[25,123],"need":[26],"to":[27,33,36,78,98,132],"be":[28,71],"shifted":[29],"each":[31,42],"row":[32,43],"left":[35],"achieve":[37],"its":[38],"Ferrers":[39],"matrix,":[40],"i.e.,":[41],"consists":[44],"consecutive":[46,51],"followed":[49],"by":[50,117,130],"0":[52],"s.":[53],"For":[54],"ecological":[55,111],"bipartite":[56],"networks,":[57],"describes":[59],"a":[60,84,96,115],"nested":[61],"set":[62],"relationships.":[64],"Since":[65],"two":[66],"different":[67,75,79],"labelled":[68],"networks":[69],"can":[70,126],"isomorphic,":[72],"but":[73],"possess":[74],"discrepancies":[76],"due":[77],"adjacency":[80],"matrices,":[81],"we":[82],"define":[83],"metric":[85],"determining":[86],"isomorphic":[92],"class.":[93],"We":[94,107],"give":[95],"reduction":[97],"k":[99],"\u2264":[100],"weighted":[103],"perfect":[104],"matching":[105],"problems.":[106],"show":[108],"on":[109],"289":[110],"matrices":[112],"(given":[113],"benchmark":[116],"Atmar":[118],"Patterson":[120],"1995)":[122],"classical":[124],"underestimate":[127],"nestedness":[129],"up":[131],"30%.":[133]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2016-06-24T00:00:00"}