{"id":"https://openalex.org/W4250654443","doi":"https://doi.org/10.37236/1674","title":"Homogeneous Permutations","display_name":"Homogeneous Permutations","publication_year":2002,"publication_date":"2002-10-31","ids":{"openalex":"https://openalex.org/W4250654443","doi":"https://doi.org/10.37236/1674"},"language":"en","primary_location":{"id":"doi:10.37236/1674","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1674","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v9i2r2/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v9i2r2/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048639170","display_name":"Peter J\u200e. Cameron","orcid":"https://orcid.org/0000-0003-3130-9505"},"institutions":[{"id":"https://openalex.org/I166337079","display_name":"Queen Mary University of London","ror":"https://ror.org/026zzn846","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I166337079"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Peter J. Cameron","raw_affiliation_strings":["School of Mathematical Sciences Queen Mary, University of London Mile End Road, London E1 4NS, U.K"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences Queen Mary, University of London Mile End Road, London E1 4NS, U.K","institution_ids":["https://openalex.org/I166337079"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048639170"],"corresponding_institution_ids":["https://openalex.org/I166337079"],"apc_list":null,"apc_paid":null,"fwci":0.5839,"has_fulltext":true,"cited_by_count":40,"citation_normalized_percentile":{"value":0.69352205,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"9","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9940000176429749,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9940000176429749,"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":0.9659000039100647,"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/T12504","display_name":"Mathematics and Applications","score":0.9605000019073486,"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/mathematics","display_name":"Mathematics","score":0.8721903562545776},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7908540368080139},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.783903181552887},{"id":"https://openalex.org/keywords/parity-of-a-permutation","display_name":"Parity of a permutation","score":0.646969199180603},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.6353004574775696},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6203204393386841},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.5642408132553101},{"id":"https://openalex.org/keywords/singleton","display_name":"Singleton","score":0.5415336489677429},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.5281776785850525},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.5215758681297302},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5187392830848694},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.48367008566856384},{"id":"https://openalex.org/keywords/derangement","display_name":"Derangement","score":0.4512934386730194},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44220080971717834},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.4399517774581909},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.2638125419616699},{"id":"https://openalex.org/keywords/cyclic-permutation","display_name":"Cyclic permutation","score":0.21455639600753784},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08778136968612671}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8721903562545776},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7908540368080139},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.783903181552887},{"id":"https://openalex.org/C64137656","wikidata":"https://www.wikidata.org/wiki/Q1064405","display_name":"Parity of a permutation","level":4,"score":0.646969199180603},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.6353004574775696},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6203204393386841},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.5642408132553101},{"id":"https://openalex.org/C117354338","wikidata":"https://www.wikidata.org/wiki/Q1165112","display_name":"Singleton","level":3,"score":0.5415336489677429},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.5281776785850525},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5215758681297302},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5187392830848694},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.48367008566856384},{"id":"https://openalex.org/C38298161","wikidata":"https://www.wikidata.org/wiki/Q1207920","display_name":"Derangement","level":2,"score":0.4512934386730194},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44220080971717834},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.4399517774581909},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.2638125419616699},{"id":"https://openalex.org/C77670614","wikidata":"https://www.wikidata.org/wiki/Q212130","display_name":"Cyclic permutation","level":3,"score":0.21455639600753784},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08778136968612671},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2779234561","wikidata":"https://www.wikidata.org/wiki/Q11995","display_name":"Pregnancy","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.37236/1674","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1674","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v9i2r2/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.16.7172","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.16.7172","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.maths.qmw.ac.uk/~pjc/preprints/hp.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.4.1866","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.4.1866","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/Volume_9/PostScriptfiles/v9i2r2.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.58.603","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.58.603","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/Volume_9/PDF/v9i2r2.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.641.521","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.641.521","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.maths.qmul.ac.uk/~pjc/preprints/parper.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/1674","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1674","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v9i2r2/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4250654443.pdf","grobid_xml":"https://content.openalex.org/works/W4250654443.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1520018394","https://openalex.org/W1547479063","https://openalex.org/W1996739125","https://openalex.org/W2042215812","https://openalex.org/W2057150193","https://openalex.org/W2062984219","https://openalex.org/W4229866260","https://openalex.org/W4246139540"],"related_works":["https://openalex.org/W2981502814","https://openalex.org/W2338752714","https://openalex.org/W2950462327","https://openalex.org/W2053104190","https://openalex.org/W2993287469","https://openalex.org/W3134656815","https://openalex.org/W2009658434","https://openalex.org/W2913306542","https://openalex.org/W1998320900","https://openalex.org/W4250654443"],"abstract_inverted_index":{"There":[0],"are":[1,20,72],"just":[2],"five":[3],"Fra\u00efss\u00e9":[4],"classes":[5],"of":[6,13,15,30,43,51],"permutations":[7,14],"(apart":[8],"from":[9],"the":[10,21,46,66],"trivial":[11],"class":[12],"a":[16,57],"singleton":[17],"set);":[18],"these":[19,31],"identity":[22],"permutations,":[23,25,44,71],"reversing":[24],"composites":[26],"(in":[27],"either":[28],"order)":[29],"two":[32],"classes,":[33],"and":[34,45,55,65],"all":[35],"permutations.":[36],"The":[37],"paper":[38],"also":[39,73],"discusses":[40],"infinite":[41],"generalisations":[42],"connection":[47],"with":[48,62],"Fra\u00efss\u00e9's":[49],"theory":[50],"countable":[52],"homogeneous":[53],"structures,":[54],"states":[56],"few":[58],"open":[59],"problems.":[60],"Links":[61],"enumeration":[63],"results,":[64],"analogous":[67],"result":[68],"for":[69],"circular":[70],"described.":[74]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-10-10T00:00:00"}