{"id":"https://openalex.org/W2106122702","doi":"https://doi.org/10.37236/1731","title":"Skolem-type Difference Sets for Cycle Systems","display_name":"Skolem-type Difference Sets for Cycle Systems","publication_year":2003,"publication_date":"2003-10-06","ids":{"openalex":"https://openalex.org/W2106122702","doi":"https://doi.org/10.37236/1731","mag":"2106122702"},"language":"en","primary_location":{"id":"doi:10.37236/1731","is_oa":false,"landing_page_url":"https://doi.org/10.37236/1731","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077673866","display_name":"Darryn Bryant","orcid":"https://orcid.org/0000-0002-1605-5343"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Darryn Bryant","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036565636","display_name":"Heather Gavlas","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Heather Gavlas","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5111648433","display_name":"Alan C. H. Ling","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alan C. H. Ling","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5077673866"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.832,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.90677924,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"10","issue":"1","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/T11130","display_name":"Coding theory and cryptography","score":0.9847999811172485,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10849","display_name":"Finite Group Theory Research","score":0.9265000224113464,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8558980226516724},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.7215062379837036},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6897286176681519},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.660254955291748},{"id":"https://openalex.org/keywords/mod","display_name":"Mod","score":0.48751136660575867},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3624236285686493}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8558980226516724},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.7215062379837036},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6897286176681519},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.660254955291748},{"id":"https://openalex.org/C29231244","wikidata":"https://www.wikidata.org/wiki/Q865493","display_name":"Mod","level":2,"score":0.48751136660575867},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3624236285686493},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.37236/1731","is_oa":false,"landing_page_url":"https://doi.org/10.37236/1731","pdf_url":null,"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:10.1.1.3.6348","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.3.6348","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_10/PostScriptfiles/v10i1r38.ps","raw_type":"text"},{"id":"pmh:oai:espace.library.uq.edu.au:UQ:64803","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402388","display_name":"Queensland's institutional digital repository (The University of Queensland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I165143802","host_organization_name":"The University of Queensland","host_organization_lineage":["https://openalex.org/I165143802"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","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":11,"referenced_works":["https://openalex.org/W1541637185","https://openalex.org/W1971207419","https://openalex.org/W2007349912","https://openalex.org/W2016639777","https://openalex.org/W2027066471","https://openalex.org/W2038942113","https://openalex.org/W2068457180","https://openalex.org/W2336848484","https://openalex.org/W2529747660","https://openalex.org/W2530363278","https://openalex.org/W2750674362"],"related_works":["https://openalex.org/W2138239764","https://openalex.org/W2792682067","https://openalex.org/W2317128564","https://openalex.org/W1985324828","https://openalex.org/W4233721905","https://openalex.org/W1978042415","https://openalex.org/W2791901507","https://openalex.org/W4247832110","https://openalex.org/W1966940491","https://openalex.org/W1976382291"],"abstract_inverted_index":{"Cyclic":[0],"$m$-cycle":[1,66],"systems":[2],"of":[3,37,63,68],"order":[4],"$v$":[5],"are":[6],"constructed":[7],"for":[8,60,70],"all":[9,13,44,71,75],"$m\\geq":[10,72],"3$,":[11,73],"and":[12,49,57,74],"$v\\equiv":[14,76],"1(\\hbox{mod":[15],"}2m)$.":[16,78],"This":[17],"result":[18],"has":[19],"been":[20],"settled":[21],"previously":[22],"by":[23],"several":[24],"authors.":[25],"In":[26],"this":[27],"paper,":[28],"we":[29],"provide":[30],"a":[31,35,38,64],"different":[32],"solution,":[33],"as":[34],"consequence":[36],"more":[39],"general":[40],"result,":[41],"which":[42,50],"handles":[43],"cases":[45],"using":[46],"similar":[47],"methods":[48],"also":[51],"allows":[52],"us":[53],"to":[54],"prove":[55],"necessary":[56],"sufficient":[58],"conditions":[59],"the":[61],"existence":[62],"cyclic":[65],"system":[67],"$K_v-F$":[69],"2(\\hbox{mod":[77]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
