{"id":"https://openalex.org/W2105142714","doi":"https://doi.org/10.1215/00294527-1731371","title":"Reducts of the Random Bipartite Graph","display_name":"Reducts of the Random Bipartite Graph","publication_year":2012,"publication_date":"2012-12-14","ids":{"openalex":"https://openalex.org/W2105142714","doi":"https://doi.org/10.1215/00294527-1731371","mag":"2105142714"},"language":"en","primary_location":{"id":"doi:10.1215/00294527-1731371","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-1731371","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-54/issue-1/Reducts-of-the-Random-Bipartite-Graph/10.1215/00294527-1731371.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-54/issue-1/Reducts-of-the-Random-Bipartite-Graph/10.1215/00294527-1731371.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Yun Lu","orcid":null},"institutions":[{"id":"https://openalex.org/I2132711","display_name":"Kutztown University","ror":"https://ror.org/056veft20","country_code":"US","type":"education","lineage":["https://openalex.org/I2132711"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yun Lu","raw_affiliation_strings":["Department of Mathematics Kutztown University of Pennsylvania Kutztown, Pennsylvania 19530 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Kutztown University of Pennsylvania Kutztown, Pennsylvania 19530 USA","institution_ids":["https://openalex.org/I2132711"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I2132711"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16482583,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"54","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.8411999940872192,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.8411999940872192,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10849","display_name":"Finite Group Theory Research","score":0.03579999879002571,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.01810000091791153,"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/bipartite-graph","display_name":"Bipartite graph","score":0.7340999841690063},{"id":"https://openalex.org/keywords/reduct","display_name":"Reduct","score":0.6922000050544739},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.6506999731063843},{"id":"https://openalex.org/keywords/edge-transitive-graph","display_name":"Edge-transitive graph","score":0.5496000051498413},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.447299987077713},{"id":"https://openalex.org/keywords/permutation-group","display_name":"Permutation group","score":0.4194999933242798},{"id":"https://openalex.org/keywords/random-permutation","display_name":"Random permutation","score":0.39149999618530273}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8234999775886536},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7340999841690063},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.717199981212616},{"id":"https://openalex.org/C69177213","wikidata":"https://www.wikidata.org/wiki/Q12880812","display_name":"Reduct","level":3,"score":0.6922000050544739},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.6506999731063843},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5504999756813049},{"id":"https://openalex.org/C200597783","wikidata":"https://www.wikidata.org/wiki/Q4391289","display_name":"Edge-transitive graph","level":5,"score":0.5496000051498413},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.447299987077713},{"id":"https://openalex.org/C92957085","wikidata":"https://www.wikidata.org/wiki/Q1412905","display_name":"Permutation group","level":3,"score":0.4194999933242798},{"id":"https://openalex.org/C200985842","wikidata":"https://www.wikidata.org/wiki/Q3375503","display_name":"Random permutation","level":3,"score":0.39149999618530273},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.387800008058548},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.36579999327659607},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.35670000314712524},{"id":"https://openalex.org/C134119311","wikidata":"https://www.wikidata.org/wiki/Q913598","display_name":"Complete bipartite graph","level":4,"score":0.31700000166893005},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.27480000257492065},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.27239999175071716},{"id":"https://openalex.org/C2777404646","wikidata":"https://www.wikidata.org/wiki/Q1057968","display_name":"Finite group","level":3,"score":0.2696000039577484},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.259799987077713}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1215/00294527-1731371","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-1731371","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-54/issue-1/Reducts-of-the-Random-Bipartite-Graph/10.1215/00294527-1731371.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1101.1947","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1101.1947","pdf_url":"https://arxiv.org/pdf/1101.1947","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:CULeuclid:euclid.ndjfl/1355494521","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.ndjfl/1355494521","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.742.4838","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.742.4838","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1101.1947.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1215/00294527-1731371","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-1731371","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-54/issue-1/Reducts-of-the-Random-Bipartite-Graph/10.1215/00294527-1731371.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2105142714.pdf","grobid_xml":"https://content.openalex.org/works/W2105142714.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W2050095135","https://openalex.org/W2055173775","https://openalex.org/W2084048686","https://openalex.org/W2100984870","https://openalex.org/W2157624263","https://openalex.org/W2164778133","https://openalex.org/W4229940828"],"related_works":[],"abstract_inverted_index":{"Let":[0],"\u0393":[1,34,49,56,68,91],"be":[2],"the":[3,18,31,40,45,60,70],"random":[4],"bipartite":[5],"graph,":[6],"a":[7,24,77,85],"countable":[8],"graph":[9],"with":[10],"two":[11,71],"infinite":[12],"sides,":[13,19],"edges":[14,22],"randomly":[15],"distributed":[16],"between":[17],"but":[20],"no":[21],"within":[23],"side.":[25],"In":[26],"this":[27],"paper,":[28],"we":[29],"investigate":[30],"reducts":[32],"of":[33,62,67,80],"that":[35],"preserve":[36],"sides.":[37,72],"We":[38],"classify":[39],"closed":[41],"permutation":[42],"subgroups":[43],"containing":[44],"group":[46,61],"Aut":[47,54],"(":[48,55],")":[50,57],"\u2217":[51,58],",":[52],"where":[53],"is":[59],"all":[63],"isomorphisms":[64],"and":[65,82,84],"anti-isomorphisms":[66],"preserving":[69],"Our":[73],"results":[74],"rely":[75],"on":[76],"combinatorial":[78],"theorem":[79],"Ne\u0161et\u0159il":[81],"R\u00f6dl":[83],"strong":[86],"finite":[87],"submodel":[88],"property":[89],"for":[90],".":[92]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
