{"id":"https://openalex.org/W2029471015","doi":"https://doi.org/10.1080/10586458.1998.10504382","title":"Enumerating A<sub>3</sub>(2) Blueprints, and an Application","display_name":"Enumerating A<sub>3</sub>(2) Blueprints, and an Application","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2029471015","doi":"https://doi.org/10.1080/10586458.1998.10504382","mag":"2029471015"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.1998.10504382","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.1998.10504382","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental 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/A5048753406","display_name":"Michael J. Abramson","orcid":"https://orcid.org/0000-0002-9954-0538"},"institutions":[{"id":"https://openalex.org/I90871651","display_name":"University of Toledo","ror":"https://ror.org/01pbdzh19","country_code":"US","type":"education","lineage":["https://openalex.org/I90871651"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael Abramson","raw_affiliation_strings":["Department of Mathematics , University of Toledo ,  Toledo ,  OH  E-mail:  mabrams@newton.utoledo.edu"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , University of Toledo ,  Toledo ,  OH  E-mail:  mabrams@newton.utoledo.edu","institution_ids":["https://openalex.org/I90871651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113508624","display_name":"Curtis D. Bennett","orcid":null},"institutions":[{"id":"https://openalex.org/I157417397","display_name":"Bowling Green State University","ror":"https://ror.org/00ay7va13","country_code":"US","type":"education","lineage":["https://openalex.org/I157417397"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Curtis D. Bennett","raw_affiliation_strings":["Department of Mathematics and Statistics , Bowling Green State University ,  Bowling Green ,  OH ,  43403  E-mail:  cbennet@math.bgsu.edu   \u00a0"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , Bowling Green State University ,  Bowling Green ,  OH ,  43403  E-mail:  cbennet@math.bgsu.edu   \u00a0","institution_ids":["https://openalex.org/I157417397"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5048753406"],"corresponding_institution_ids":["https://openalex.org/I90871651"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12863946,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":"4","first_page":"391","last_page":"398"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9969000220298767,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9959999918937683,"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/blueprint","display_name":"Blueprint","score":0.9517977833747864},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.744468092918396},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.7369563579559326},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.7368910908699036},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.673086941242218},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3999054729938507},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38686251640319824},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3757064640522003},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3466799557209015},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3114205300807953},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21410226821899414},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20529747009277344},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07751443982124329},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06353804469108582}],"concepts":[{"id":"https://openalex.org/C155911762","wikidata":"https://www.wikidata.org/wiki/Q422321","display_name":"Blueprint","level":2,"score":0.9517977833747864},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.744468092918396},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.7369563579559326},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.7368910908699036},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.673086941242218},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3999054729938507},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38686251640319824},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3757064640522003},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3466799557209015},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3114205300807953},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21410226821899414},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20529747009277344},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07751443982124329},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06353804469108582},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10586458.1998.10504382","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.1998.10504382","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.em/1047674154","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.em/1047674154","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7599999904632568,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W2939538","https://openalex.org/W90820618","https://openalex.org/W629421475","https://openalex.org/W773503578","https://openalex.org/W1490312012","https://openalex.org/W1500032821","https://openalex.org/W1507799342","https://openalex.org/W1543684365","https://openalex.org/W2023956395","https://openalex.org/W2400908863","https://openalex.org/W3158736363","https://openalex.org/W4212783338","https://openalex.org/W4241083504","https://openalex.org/W4251965055","https://openalex.org/W4388322098"],"related_works":["https://openalex.org/W108845024","https://openalex.org/W4300125793","https://openalex.org/W2578985712","https://openalex.org/W2406961474","https://openalex.org/W2143566611","https://openalex.org/W2013740965","https://openalex.org/W588267724","https://openalex.org/W4297743441","https://openalex.org/W2952598754","https://openalex.org/W2615093732"],"abstract_inverted_index":{"We":[0,15],"present":[1],"an":[2,9],"enumeration":[3],"scheme":[4],"for":[5,32],"all":[6],"blueprints":[7],"of":[8],"A2(p)":[10],"building":[11],"(with":[12],"p":[13],"prime).":[14],"then":[16],"provide":[17],"a":[18,30],"computer":[19],"based":[20],"proof":[21],"that":[22],"the":[23],"\u00c3n(Q2)":[24],"buildings":[25],"do":[26],"not":[27],"conform":[28],"to":[29],"blueprint":[31],"n":[33],"\u2265":[34],"3.":[35]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
