{"id":"https://openalex.org/W2122765264","doi":"https://doi.org/10.1016/s0012-365x(97)00272-0","title":"Directed covering with block size 5 and index even","display_name":"Directed covering with block size 5 and index even","publication_year":1998,"publication_date":"1998-06-01","ids":{"openalex":"https://openalex.org/W2122765264","doi":"https://doi.org/10.1016/s0012-365x(97)00272-0","mag":"2122765264"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(97)00272-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(97)00272-0","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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/A5030185630","display_name":"Ahmed M. Assaf","orcid":null},"institutions":[{"id":"https://openalex.org/I1629065","display_name":"Central Michigan University","ror":"https://ror.org/02xawj266","country_code":"US","type":"education","lineage":["https://openalex.org/I1629065"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ahmed M. Assaf","raw_affiliation_strings":["Department of Mathematics, Central Michigan University, Mt. Pleasant, MI 48859, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Central Michigan University, Mt. Pleasant, MI 48859, USA","institution_ids":["https://openalex.org/I1629065"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5030185630"],"corresponding_institution_ids":["https://openalex.org/I1629065"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.20608824,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"188","issue":"1-3","first_page":"27","last_page":"40"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9854000210762024,"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":0.933899998664856,"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":0.8639243841171265},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7401446104049683},{"id":"https://openalex.org/keywords/block-size","display_name":"Block size","score":0.7394775152206421},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.6787238121032715},{"id":"https://openalex.org/keywords/tuple","display_name":"Tuple","score":0.5394732356071472},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4895420968532562},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.481764554977417},{"id":"https://openalex.org/keywords/generating-function","display_name":"Generating function","score":0.44538041949272156},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06417939066886902}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8639243841171265},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7401446104049683},{"id":"https://openalex.org/C41431624","wikidata":"https://www.wikidata.org/wiki/Q1053357","display_name":"Block size","level":3,"score":0.7394775152206421},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6787238121032715},{"id":"https://openalex.org/C118930307","wikidata":"https://www.wikidata.org/wiki/Q600590","display_name":"Tuple","level":2,"score":0.5394732356071472},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4895420968532562},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.481764554977417},{"id":"https://openalex.org/C204911207","wikidata":"https://www.wikidata.org/wiki/Q860609","display_name":"Generating function","level":2,"score":0.44538041949272156},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06417939066886902},{"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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":1,"locations":[{"id":"doi:10.1016/s0012-365x(97)00272-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(97)00272-0","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W156973627","https://openalex.org/W1560023680","https://openalex.org/W1984595737","https://openalex.org/W1985745235","https://openalex.org/W1993218841","https://openalex.org/W2008949668","https://openalex.org/W2060374617","https://openalex.org/W2069903885","https://openalex.org/W2070644031","https://openalex.org/W2074214232","https://openalex.org/W2080625978","https://openalex.org/W2082207918","https://openalex.org/W2145314048","https://openalex.org/W2264530627","https://openalex.org/W2611298788","https://openalex.org/W2753032472","https://openalex.org/W6633356086","https://openalex.org/W6646315330","https://openalex.org/W6646791195","https://openalex.org/W6693100815"],"related_works":["https://openalex.org/W2077189200","https://openalex.org/W2393136772","https://openalex.org/W768788828","https://openalex.org/W4386229429","https://openalex.org/W3016449295","https://openalex.org/W53339341","https://openalex.org/W2484416673","https://openalex.org/W4362564423","https://openalex.org/W2123931954","https://openalex.org/W4382244876"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}