{"id":"https://openalex.org/W2038169558","doi":"https://doi.org/10.1016/0012-365x(89)90272-0","title":"Enumeration of injective partial transformations","display_name":"Enumeration of injective partial transformations","publication_year":1989,"publication_date":"1989-01-01","ids":{"openalex":"https://openalex.org/W2038169558","doi":"https://doi.org/10.1016/0012-365x(89)90272-0","mag":"2038169558"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(89)90272-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(89)90272-0","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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/A5081940106","display_name":"David Borwein","orcid":null},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"David Borwein","raw_affiliation_strings":["Department of Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B7","The Univ. of W. Ontario, Ont., Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B7","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"The Univ. of W. Ontario, Ont., Canada#TAB#","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045635981","display_name":"S. A. Rankin","orcid":null},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Stuart Rankin","raw_affiliation_strings":["Department of Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B7","The Univ. of W. Ontario, Ont., Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B7","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"The Univ. of W. Ontario, Ont., Canada#TAB#","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037205558","display_name":"Lex E. Renner","orcid":null},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Lex Renner","raw_affiliation_strings":["Department of Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B7","The Univ. of W. Ontario, Ont., Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B7","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"The Univ. of W. Ontario, Ont., Canada#TAB#","institution_ids":["https://openalex.org/I125749732"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5081940106"],"corresponding_institution_ids":["https://openalex.org/I125749732"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":1.2586,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.82374009,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"73","issue":"3","first_page":"291","last_page":"296"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9781000018119812,"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/T12504","display_name":"Mathematics and Applications","score":0.9781000018119812,"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/enumeration","display_name":"Enumeration","score":0.9588693380355835},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8718010783195496},{"id":"https://openalex.org/keywords/injective-function","display_name":"Injective function","score":0.8545001745223999},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5740501284599304},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3930744230747223}],"concepts":[{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.9588693380355835},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8718010783195496},{"id":"https://openalex.org/C128107574","wikidata":"https://www.wikidata.org/wiki/Q182003","display_name":"Injective function","level":2,"score":0.8545001745223999},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5740501284599304},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3930744230747223}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(89)90272-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(89)90272-0","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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":2,"referenced_works":["https://openalex.org/W2062464706","https://openalex.org/W6809015089"],"related_works":["https://openalex.org/W108845024","https://openalex.org/W4300125793","https://openalex.org/W2578985712","https://openalex.org/W2406961474","https://openalex.org/W2143566611","https://openalex.org/W2013740965","https://openalex.org/W588267724","https://openalex.org/W4297743441","https://openalex.org/W2952598754","https://openalex.org/W2026779193"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}