{"id":"https://openalex.org/W1582062132","doi":"https://doi.org/10.37236/3606","title":"Switching in One-Factorisations of Complete Graphs","display_name":"Switching in One-Factorisations of Complete Graphs","publication_year":2014,"publication_date":"2014-06-09","ids":{"openalex":"https://openalex.org/W1582062132","doi":"https://doi.org/10.37236/3606","mag":"1582062132"},"language":"en","primary_location":{"id":"doi:10.37236/3606","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3606","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i2p49/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":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i2p49/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055721632","display_name":"Petteri Kaski","orcid":"https://orcid.org/0009-0002-3069-7753"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Petteri Kaski","raw_affiliation_strings":["Aalto University"],"affiliations":[{"raw_affiliation_string":"Aalto University","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113704533","display_name":"Andr\u00e9 de Souza Medeiros","orcid":null},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Andr\u00e9 de Souza Medeiros","raw_affiliation_strings":["Aalto University"],"affiliations":[{"raw_affiliation_string":"Aalto University","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113802837","display_name":"Patric R.J. \u00d6sterg\u00e5rd","orcid":null},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Patric R.J. \u00d6sterg\u00e5rd","raw_affiliation_strings":["Aalto University"],"affiliations":[{"raw_affiliation_string":"Aalto University","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019627457","display_name":"Ian M. Wanless","orcid":"https://orcid.org/0000-0001-8085-0387"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]},{"id":"https://openalex.org/I2801239119","display_name":"Australian Regenerative Medicine Institute","ror":"https://ror.org/02qa5kg76","country_code":"AU","type":"facility","lineage":["https://openalex.org/I2801037857","https://openalex.org/I2801239119","https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ian M. Wanless","raw_affiliation_strings":["Monash University","Monash university"],"affiliations":[{"raw_affiliation_string":"Monash University","institution_ids":["https://openalex.org/I2801239119","https://openalex.org/I56590836"]},{"raw_affiliation_string":"Monash university","institution_ids":["https://openalex.org/I2801239119"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5055721632"],"corresponding_institution_ids":["https://openalex.org/I9927081"],"apc_list":null,"apc_paid":null,"fwci":0.8513,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.76249068,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"21","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8271886110305786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7731325626373291},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5942493677139282},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4068422019481659},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37251460552215576}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8271886110305786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7731325626373291},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5942493677139282},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4068422019481659},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37251460552215576}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/3606","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3606","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i2p49/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":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/3606","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3606","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i2p49/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":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2566623832","display_name":null,"funder_award_id":"252083","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"},{"id":"https://openalex.org/G303365407","display_name":null,"funder_award_id":"256287","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"},{"id":"https://openalex.org/G6198503367","display_name":null,"funder_award_id":"132122","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"}],"funders":[{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"},{"id":"https://openalex.org/F4320321394","display_name":"Aalto-Yliopisto","ror":"https://ror.org/020hwjq30"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1582062132.pdf","grobid_xml":"https://content.openalex.org/works/W1582062132.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1482309519","https://openalex.org/W1563415799","https://openalex.org/W1595495936","https://openalex.org/W1982890265","https://openalex.org/W1984904218","https://openalex.org/W1990600049","https://openalex.org/W2007240170","https://openalex.org/W2020002518","https://openalex.org/W2054660610","https://openalex.org/W2056965013","https://openalex.org/W2059891919","https://openalex.org/W2062620269","https://openalex.org/W2064550979","https://openalex.org/W2081836846","https://openalex.org/W2086303573","https://openalex.org/W2105475350","https://openalex.org/W2161224948","https://openalex.org/W2200399671","https://openalex.org/W2603486134","https://openalex.org/W2767223821","https://openalex.org/W2947205044","https://openalex.org/W2951091481","https://openalex.org/W4206488788","https://openalex.org/W4256191952","https://openalex.org/W6685003369","https://openalex.org/W6813781103"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W3111310291"],"abstract_inverted_index":{"We":[0,40,80,101],"define":[1],"two":[2],"types":[3],"of":[4,8,36,38,44,58,75,112],"switchings":[5],"between":[6,33],"one-factorisations":[7,37,74],"complete":[9],"graphs,":[10,47],"called":[11],"factor-switching":[12,115],"and":[13,19,55,94],"vertex-switching.":[14],"For":[15,114],"each":[16,21,59],"switching":[17,27,46,99],"operation":[18],"for":[20,65,73,77,123],"$n\\le":[22],"12$,":[23],"we":[24,67],"build":[25],"a":[26,86],"graph":[28],"that":[29,71,82,107],"records":[30],"the":[31,56,104,116,125],"transformations":[32],"isomorphism":[34],"classes":[35],"$K_{n}$.":[39],"establish":[41],"various":[42],"parameters":[43],"our":[45],"including":[48],"order,":[49],"size,":[50],"degree":[51],"sequence,":[52],"clique":[53],"number":[54],"radius":[57],"component.As":[60],"well":[61],"as":[62],"computing":[63],"data":[64],"$n\\le12$,":[66],"demonstrate":[68],"several":[69],"properties":[70],"hold":[72],"$K_{n}$":[76],"general":[78],"$n$.":[79],"show":[81],"such":[83],"factorisations":[84],"have":[85],"parity":[87],"which":[88],"is":[89],"not":[90],"changed":[91],"by":[92],"factor-switching,":[93],"this":[95],"leads":[96],"to":[97,131],"disconnected":[98],"graphs.":[100],"also":[102],"characterise":[103],"isolated":[105,117,126],"vertices":[106,118,127],"arise":[108],"from":[109],"an":[110],"absence":[111],"switchings.":[113],"are":[119,128],"perfect":[120],"one-factorisations,":[121],"while":[122],"vertex-switching":[124],"closely":[129],"related":[130],"atomic":[132],"Latin":[133],"squares.":[134]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}