{"id":"https://openalex.org/W2046608700","doi":"https://doi.org/10.1017/s0963548301004734","title":"4-Cycle Group-Divisible Designs with Two Associate Classes","display_name":"4-Cycle Group-Divisible Designs with Two Associate Classes","publication_year":2001,"publication_date":"2001-07-01","ids":{"openalex":"https://openalex.org/W2046608700","doi":"https://doi.org/10.1017/s0963548301004734","mag":"2046608700"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548301004734","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548301004734","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","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/A5008893362","display_name":"Hung\u2010Lin Fu","orcid":"https://orcid.org/0000-0001-7218-3043"},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"H. L. FU","raw_affiliation_strings":["Department of Applied Mathematics, National Chiao Tung University, Hsin Chu, Taiwan, Republic of China (e-mail:","Department of Applied Mathematics, National Chiao Tung University, Hsin Chu, Taiwan, Republic of China (e-mail: hlfu@math.nctu.edu.tw)#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, National Chiao Tung University, Hsin Chu, Taiwan, Republic of China (e-mail:","institution_ids":["https://openalex.org/I148366613"]},{"raw_affiliation_string":"Department of Applied Mathematics, National Chiao Tung University, Hsin Chu, Taiwan, Republic of China (e-mail: hlfu@math.nctu.edu.tw)#TAB#","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091292004","display_name":"C. A. Rodger","orcid":"https://orcid.org/0000-0002-7324-0465"},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]},{"id":"https://openalex.org/I2799411422","display_name":"Center for Discrete Mathematics and Theoretical Computer Science","ror":"https://ror.org/00k551w06","country_code":"US","type":"facility","lineage":["https://openalex.org/I102322142","https://openalex.org/I118347220","https://openalex.org/I1283103587","https://openalex.org/I1311060795","https://openalex.org/I20089843","https://openalex.org/I2799411422","https://openalex.org/I4210107353"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. A. RODGER","raw_affiliation_strings":["Department of Discrete and Statistical Sciences, 120 Math Annex, Auburn University, Alabama 36849-5307, USA (e-mail:","Department of Discrete and Statistical Sciences, 120 Math Annex, Auburn University, Alabama 36849-5307, USA (e-mail: rodgec1@mail.auburn.edu)#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Discrete and Statistical Sciences, 120 Math Annex, Auburn University, Alabama 36849-5307, USA (e-mail:","institution_ids":["https://openalex.org/I2799411422"]},{"raw_affiliation_string":"Department of Discrete and Statistical Sciences, 120 Math Annex, Auburn University, Alabama 36849-5307, USA (e-mail: rodgec1@mail.auburn.edu)#TAB#","institution_ids":["https://openalex.org/I82497590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008893362"],"corresponding_institution_ids":["https://openalex.org/I148366613"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.12518162,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"10","issue":"4","first_page":"317","last_page":"343"},"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":0.9966999888420105,"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":0.992900013923645,"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/group","display_name":"Group (periodic table)","score":0.7543461918830872},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4627767503261566},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4305347502231598},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41948097944259644},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4069754481315613},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.350320041179657},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.058537423610687256}],"concepts":[{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.7543461918830872},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4627767503261566},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4305347502231598},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41948097944259644},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4069754481315613},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.350320041179657},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.058537423610687256},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548301004734","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548301004734","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1534899308","https://openalex.org/W1963501983","https://openalex.org/W1965494169","https://openalex.org/W1971207419","https://openalex.org/W1992397972","https://openalex.org/W2014311315","https://openalex.org/W2025231306","https://openalex.org/W2061067501","https://openalex.org/W2061372647","https://openalex.org/W2069903885","https://openalex.org/W2316633991","https://openalex.org/W2327206095","https://openalex.org/W2529747660"],"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/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"investigate":[4],"a":[5],"partitioning":[6],"problem,":[7],"setting":[8],"the":[9,23],"existence":[10],"problem":[11],"for":[12],"all":[13],"group-divisible":[14],"designs":[15],"with":[16],"first":[17],"and":[18],"second":[19],"associates":[20],"in":[21],"which":[22],"blocks":[24],"are":[25],"4-cycles.":[26]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
