{"id":"https://openalex.org/W2059107591","doi":"https://doi.org/10.1016/0166-218x(94)00057-k","title":"Irreflexive and reflexive dimension","display_name":"Irreflexive and reflexive dimension","publication_year":1995,"publication_date":"1995-06-01","ids":{"openalex":"https://openalex.org/W2059107591","doi":"https://doi.org/10.1016/0166-218x(94)00057-k","mag":"2059107591"},"language":"en","primary_location":{"id":"doi:10.1016/0166-218x(94)00057-k","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0166-218x(94)00057-k","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/0166-218x(94)00057-k","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021131882","display_name":"Larry J. Langley","orcid":null},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Larry J. Langley","raw_affiliation_strings":["Dartmouth College, Hanover, NH 03755-3551, USA","Dartmouth College, Hanover, NH, 03755-3551, USA"],"affiliations":[{"raw_affiliation_string":"Dartmouth College, Hanover, NH 03755-3551, USA","institution_ids":["https://openalex.org/I107672454"]},{"raw_affiliation_string":"Dartmouth College, Hanover, NH, 03755-3551, USA","institution_ids":["https://openalex.org/I107672454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021131882"],"corresponding_institution_ids":["https://openalex.org/I107672454"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":{"value":2750,"currency":"USD","value_usd":2750},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23950382,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"60","issue":"1-3","first_page":"267","last_page":"273"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.909600019454956,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.909600019454956,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.9004062414169312},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.839497447013855},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5871180295944214},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4869602620601654},{"id":"https://openalex.org/keywords/reflexivity","display_name":"Reflexivity","score":0.46914568543434143},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38545823097229004},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38067036867141724},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3256751298904419},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06820923089981079},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.056097716093063354}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9004062414169312},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.839497447013855},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5871180295944214},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4869602620601654},{"id":"https://openalex.org/C13200473","wikidata":"https://www.wikidata.org/wiki/Q2747831","display_name":"Reflexivity","level":2,"score":0.46914568543434143},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38545823097229004},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38067036867141724},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3256751298904419},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06820923089981079},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.056097716093063354},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0166-218x(94)00057-k","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0166-218x(94)00057-k","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:scholarlycommons.pacific.edu:cop-facarticles-1661","is_oa":false,"landing_page_url":"https://scholarlycommons.pacific.edu/cop-facarticles/651","pdf_url":null,"source":{"id":"https://openalex.org/S4306400314","display_name":"Scholarly Commons (University of the Pacific)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119942576","host_organization_name":"University of the Pacific","host_organization_lineage":["https://openalex.org/I119942576"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"College of the Pacific Faculty Articles","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1016/0166-218x(94)00057-k","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0166-218x(94)00057-k","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1566493102","https://openalex.org/W1976523300","https://openalex.org/W1977054090","https://openalex.org/W2019502642","https://openalex.org/W2075459601","https://openalex.org/W2325654786","https://openalex.org/W3197565569","https://openalex.org/W4285719527","https://openalex.org/W6633899791"],"related_works":["https://openalex.org/W4293241344","https://openalex.org/W2361927408","https://openalex.org/W3216203496","https://openalex.org/W3215481272","https://openalex.org/W3217021367","https://openalex.org/W2095962685","https://openalex.org/W3001001525","https://openalex.org/W3031528029","https://openalex.org/W2134856857","https://openalex.org/W2941133393"],"abstract_inverted_index":{"There":[0],"are":[1,41],"three":[2,14,26,32],"equivalent":[3],"definitions":[4,15,27,33],"of":[5,22],"dimension":[6],"for":[7],"partially":[8],"ordered":[9],"sets.":[10],"When":[11],"generating":[12],"these":[13,31],"to":[16],"C-dimension":[17],"over":[18],"an":[19],"arbitrary":[20],"class":[21],"orders":[23],"C,":[24],"the":[25],"diverge.":[28],"We":[29],"compare":[30],"and":[34],"determine":[35],"certain":[36],"requirements":[37],"under":[38],"which":[39],"they":[40],"equivalent.":[42]},"counts_by_year":[],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2016-06-24T00:00:00"}