{"id":"https://openalex.org/W4388638992","doi":"https://doi.org/10.1142/s0218196723500674","title":"A census of small Schurian association schemes","display_name":"A census of small Schurian association schemes","publication_year":2023,"publication_date":"2023-11-13","ids":{"openalex":"https://openalex.org/W4388638992","doi":"https://doi.org/10.1142/s0218196723500674"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196723500674","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s0218196723500674","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","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/A5051490800","display_name":"Jesse Lansdown","orcid":"https://orcid.org/0000-0002-8087-1329"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]},{"id":"https://openalex.org/I185492890","display_name":"University of Canterbury","ror":"https://ror.org/03y7q9t39","country_code":"NZ","type":"education","lineage":["https://openalex.org/I185492890"]}],"countries":["AU","NZ"],"is_corresponding":true,"raw_author_name":"Jesse Lansdown","raw_affiliation_strings":["Centre for the Mathematics of Symmetry and Computation, Department of Mathematics and Statistics, The University of Western Australia, Crawley, WA 6009, Australia","School of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand"],"raw_orcid":"https://orcid.org/0000-0002-8087-1329","affiliations":[{"raw_affiliation_string":"Centre for the Mathematics of Symmetry and Computation, Department of Mathematics and Statistics, The University of Western Australia, Crawley, WA 6009, Australia","institution_ids":["https://openalex.org/I177877127"]},{"raw_affiliation_string":"School of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5051490800"],"corresponding_institution_ids":["https://openalex.org/I177877127","https://openalex.org/I185492890"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2433847,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"01","first_page":"23","last_page":"33"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.4747999906539917,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.4747999906539917,"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"}},{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.4542999863624573,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.012000000104308128,"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/transitive-relation","display_name":"Transitive relation","score":0.860205888748169},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.768768310546875},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.7395939826965332},{"id":"https://openalex.org/keywords/transitive-closure","display_name":"Transitive closure","score":0.6575912237167358},{"id":"https://openalex.org/keywords/association-scheme","display_name":"Association scheme","score":0.6021355986595154},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.5129103660583496},{"id":"https://openalex.org/keywords/association","display_name":"Association (psychology)","score":0.5080811977386475},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4912335276603699},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4710780680179596},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.4209522008895874},{"id":"https://openalex.org/keywords/census","display_name":"Census","score":0.4101528227329254},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.378216415643692},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.16706669330596924},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14237761497497559},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.08544057607650757},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.07197296619415283}],"concepts":[{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.860205888748169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.768768310546875},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7395939826965332},{"id":"https://openalex.org/C128896722","wikidata":"https://www.wikidata.org/wiki/Q1501387","display_name":"Transitive closure","level":2,"score":0.6575912237167358},{"id":"https://openalex.org/C73361133","wikidata":"https://www.wikidata.org/wiki/Q4810150","display_name":"Association scheme","level":2,"score":0.6021355986595154},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.5129103660583496},{"id":"https://openalex.org/C142853389","wikidata":"https://www.wikidata.org/wiki/Q744778","display_name":"Association (psychology)","level":2,"score":0.5080811977386475},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4912335276603699},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4710780680179596},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.4209522008895874},{"id":"https://openalex.org/C52130261","wikidata":"https://www.wikidata.org/wiki/Q39825","display_name":"Census","level":3,"score":0.4101528227329254},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.378216415643692},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.16706669330596924},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14237761497497559},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.08544057607650757},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.07197296619415283},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196723500674","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s0218196723500674","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W107799590","https://openalex.org/W165726963","https://openalex.org/W1974562197","https://openalex.org/W1976677460","https://openalex.org/W1990600049","https://openalex.org/W1992464555","https://openalex.org/W2019843285","https://openalex.org/W2024772532","https://openalex.org/W2050853307","https://openalex.org/W2060900584","https://openalex.org/W2158987517","https://openalex.org/W2494852246","https://openalex.org/W2963049162","https://openalex.org/W3006556965","https://openalex.org/W3157785825","https://openalex.org/W3174685863","https://openalex.org/W4213243275","https://openalex.org/W4214545389"],"related_works":["https://openalex.org/W1553139688","https://openalex.org/W2371151875","https://openalex.org/W2136009070","https://openalex.org/W2362009423","https://openalex.org/W2391133415","https://openalex.org/W2012063573","https://openalex.org/W1982015164","https://openalex.org/W203725150","https://openalex.org/W4230967508","https://openalex.org/W1499233953"],"abstract_inverted_index":{"Using":[0],"the":[1,15,26,39,56],"classification":[2,73],"of":[3,6,19,29,42,50,58,62,71],"transitive":[4,27,60],"groups":[5,28],"degree":[7,30,63],"n,":[8,21,64],"for":[9,65],"[Formula:":[10,66],"see":[11,67],"text],":[12],"we":[13,37,54],"classify":[14],"Schurian":[16],"association":[17,44],"schemes":[18],"order":[20],"and":[22,46],"as":[23,77],"a":[24,48,78],"consequence,":[25],"n":[31],"that":[32],"are":[33,74],"2-closed.":[34],"In":[35],"addition,":[36],"compute":[38,55],"character":[40],"table":[41],"each":[43,59],"scheme":[45],"provide":[47],"census":[49],"important":[51],"properties.":[52],"Finally,":[53],"2-closure":[57],"group":[61],"text].":[68],"The":[69],"results":[70],"this":[72],"made":[75],"available":[76],"supplementary":[79],"database.":[80]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}