{"id":"https://openalex.org/W2103458580","doi":"https://doi.org/10.37236/1939","title":"Steiner Triple Systems and Existentially Closed Graphs","display_name":"Steiner Triple Systems and Existentially Closed Graphs","publication_year":2005,"publication_date":"2005-08-30","ids":{"openalex":"https://openalex.org/W2103458580","doi":"https://doi.org/10.37236/1939","mag":"2103458580"},"language":"en","primary_location":{"id":"doi:10.37236/1939","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1939","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v12i1r42/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/v12i1r42/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003435620","display_name":"Anthony D. Forbes","orcid":"https://orcid.org/0000-0003-3805-7056"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"A. D. Forbes","raw_affiliation_strings":["Department of Pure Mathematics The Open University Walton Hall Milton Keynes MK7 6AA UNITED KINGDOM"],"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics The Open University Walton Hall Milton Keynes MK7 6AA UNITED KINGDOM","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089758840","display_name":"M. J. Grannell","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. J. Grannell","raw_affiliation_strings":["Department of Pure Mathematics The Open University Walton Hall Milton Keynes MK7 6AA UNITED KINGDOM"],"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics The Open University Walton Hall Milton Keynes MK7 6AA UNITED KINGDOM","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088388065","display_name":"T. S. Griggs","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"T. S. Griggs","raw_affiliation_strings":["Department of Pure Mathematics The Open University Walton Hall Milton Keynes MK7 6AA UNITED KINGDOM"],"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics The Open University Walton Hall Milton Keynes MK7 6AA UNITED KINGDOM","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003435620"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7257,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.74867949,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"12","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/T10374","display_name":"Advanced Graph Theory Research","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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9922000169754028,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7324737310409546},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7066937685012817},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5429117679595947},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5351669788360596},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5348550081253052},{"id":"https://openalex.org/keywords/steiner-system","display_name":"Steiner system","score":0.5062993764877319},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42455971240997314}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7324737310409546},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7066937685012817},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5429117679595947},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5351669788360596},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5348550081253052},{"id":"https://openalex.org/C175695255","wikidata":"https://www.wikidata.org/wiki/Q4420916","display_name":"Steiner system","level":2,"score":0.5062993764877319},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42455971240997314},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.37236/1939","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1939","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v12i1r42/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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.214.7878","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.214.7878","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_12/PDF/v12i1r42.pdf","raw_type":"text"},{"id":"pmh:oai:oro.open.ac.uk:18191","is_oa":false,"landing_page_url":"https://oro.open.ac.uk/18191/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401187","display_name":"Open Research Online (The Open University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I204136569","host_organization_name":"The Open University","host_organization_lineage":["https://openalex.org/I204136569"],"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 Item"}],"best_oa_location":{"id":"doi:10.37236/1939","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1939","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v12i1r42/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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.5199999809265137}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2103458580.pdf","grobid_xml":"https://content.openalex.org/works/W2103458580.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W157506547","https://openalex.org/W1540673013","https://openalex.org/W1583403126","https://openalex.org/W1979863880","https://openalex.org/W1986262090","https://openalex.org/W1990217961","https://openalex.org/W1997272082","https://openalex.org/W2030214550","https://openalex.org/W2061756046","https://openalex.org/W2083106426","https://openalex.org/W2084692244","https://openalex.org/W2091644005","https://openalex.org/W2109104984","https://openalex.org/W2109934462","https://openalex.org/W2118772688","https://openalex.org/W2125538282","https://openalex.org/W2334275286","https://openalex.org/W2992164933","https://openalex.org/W4250677820","https://openalex.org/W6605311383","https://openalex.org/W6608393273","https://openalex.org/W6629416614"],"related_works":["https://openalex.org/W2348909947","https://openalex.org/W4292672442","https://openalex.org/W2362101859","https://openalex.org/W2941610985","https://openalex.org/W2791431590","https://openalex.org/W4235810826","https://openalex.org/W1978900583","https://openalex.org/W2350688482","https://openalex.org/W2122135111","https://openalex.org/W2996205462"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2],"conditions":[3],"under":[4],"which":[5],"a":[6,12],"Steiner":[7],"triple":[8],"system":[9],"can":[10],"have":[11],"2-":[13],"or":[14],"3-existentially":[15],"closed":[16],"block":[17],"intersection":[18],"graph.":[19]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
