{"id":"https://openalex.org/W1651530065","doi":"https://doi.org/10.37236/1776","title":"Class-Uniformly Resolvable Group Divisible Structures I: Resolvable Group Divisible Designs","display_name":"Class-Uniformly Resolvable Group Divisible Structures I: Resolvable Group Divisible Designs","publication_year":2004,"publication_date":"2004-03-25","ids":{"openalex":"https://openalex.org/W1651530065","doi":"https://doi.org/10.37236/1776","mag":"1651530065"},"language":"en","primary_location":{"id":"doi:10.37236/1776","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1776","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r23/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":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":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r23/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074187003","display_name":"Peter Danziger","orcid":null},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]},{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Peter Danziger","raw_affiliation_strings":["School of Mathematics and Statistics Carleton University 1125 Colonel By Dr. Ottawa ON K1S 5B6, Canada","Department of Mathematics, Physics and Computer Science Ryerson Polytechnic University Toronto, ON M5B 2K3, Canada"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics Carleton University 1125 Colonel By Dr. Ottawa ON K1S 5B6, Canada","institution_ids":["https://openalex.org/I67031392"]},{"raw_affiliation_string":"Department of Mathematics, Physics and Computer Science Ryerson Polytechnic University Toronto, ON M5B 2K3, Canada","institution_ids":["https://openalex.org/I530967"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010712874","display_name":"Brett Stevens","orcid":"https://orcid.org/0000-0003-4336-1773"},"institutions":[{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]},{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Brett Stevens","raw_affiliation_strings":["School of Mathematics and Statistics Carleton University 1125 Colonel By Dr. Ottawa ON K1S 5B6, Canada","Department of Mathematics, Physics and Computer Science Ryerson Polytechnic University Toronto, ON M5B 2K3, Canada"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics Carleton University 1125 Colonel By Dr. Ottawa ON K1S 5B6, Canada","institution_ids":["https://openalex.org/I67031392"]},{"raw_affiliation_string":"Department of Mathematics, Physics and Computer Science Ryerson Polytechnic University Toronto, ON M5B 2K3, Canada","institution_ids":["https://openalex.org/I530967"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074187003"],"corresponding_institution_ids":["https://openalex.org/I530967","https://openalex.org/I67031392"],"apc_list":null,"apc_paid":null,"fwci":0.6583,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.69419018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"11","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":0.9998999834060669,"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":0.9998999834060669,"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":0.9973000288009644,"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":0.9746999740600586,"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":0.8773411512374878},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.7225962281227112},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6814796328544617},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6367610692977905},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.597160816192627},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.5000782012939453},{"id":"https://openalex.org/keywords/block-size","display_name":"Block size","score":0.4851704239845276},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4171915054321289},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0719495415687561}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8773411512374878},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.7225962281227112},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6814796328544617},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6367610692977905},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.597160816192627},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.5000782012939453},{"id":"https://openalex.org/C41431624","wikidata":"https://www.wikidata.org/wiki/Q1053357","display_name":"Block size","level":3,"score":0.4851704239845276},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4171915054321289},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0719495415687561},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/1776","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1776","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r23/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":null,"license_id":null,"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:10.37236/1776","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1776","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r23/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":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":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.75}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322675","display_name":"Mitacs","ror":"https://ror.org/00cjrc276"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1651530065.pdf","grobid_xml":"https://content.openalex.org/works/W1651530065.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W164275096","https://openalex.org/W1519765522","https://openalex.org/W1965142549","https://openalex.org/W1969803456","https://openalex.org/W1992114298","https://openalex.org/W1992447251","https://openalex.org/W1994320152","https://openalex.org/W2045390756","https://openalex.org/W2048303366","https://openalex.org/W2072583682","https://openalex.org/W2086211490","https://openalex.org/W2126337683","https://openalex.org/W2912680787","https://openalex.org/W4252586268","https://openalex.org/W4255471281"],"related_works":["https://openalex.org/W2077189200","https://openalex.org/W2393136772","https://openalex.org/W768788828","https://openalex.org/W4386229429","https://openalex.org/W2035025044","https://openalex.org/W3016449295","https://openalex.org/W53339341","https://openalex.org/W2917815002","https://openalex.org/W2484416673","https://openalex.org/W2618349488"],"abstract_inverted_index":{"We":[0,30,43,60],"consider":[1],"Class-Uniformly":[2],"Resolvable":[3],"Group":[4],"Divisible":[5],"Designs":[6],"(CURGDD),":[7],"which":[8,15],"are":[9],"resolvable":[10],"group":[11],"divisible":[12],"designs":[13],"in":[14],"each":[16,28],"of":[17,25,27,40,56,64],"the":[18,22,32,54],"resolution":[19],"classes":[20],"has":[21],"same":[23],"number":[24,39,63],"blocks":[26],"size.":[29],"derive":[31],"fully":[33],"general":[34,46],"necessary":[35],"conditions":[36],"including":[37,48,74],"a":[38,49,57,62],"extremal":[41,76],"bounds.":[42],"present":[44],"some":[45,75],"constructions":[47],"novel":[50],"construction":[51],"for":[52],"shrinking":[53],"index":[55],"master":[58],"design.":[59],"construct":[61],"infinite":[65],"families,":[66],"primarily":[67],"with":[68],"block":[69],"sizes":[70],"2":[71],"and":[72],"$k$,":[73],"cases.":[77]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
