{"id":"https://openalex.org/W2030338173","doi":"https://doi.org/10.1007/s004930050039","title":"The Comparability Graph of a Modular Lattice","display_name":"The Comparability Graph of a Modular Lattice","publication_year":1998,"publication_date":"1998-04-01","ids":{"openalex":"https://openalex.org/W2030338173","doi":"https://doi.org/10.1007/s004930050039","mag":"2030338173"},"language":"en","primary_location":{"id":"doi:10.1007/s004930050039","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s004930050039","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","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/A5005668319","display_name":"Takayuki Hibi","orcid":"https://orcid.org/0000-0002-7619-1152"},"institutions":[{"id":"https://openalex.org/I14314212","display_name":"Osaka University of Economics","ror":"https://ror.org/04g11bp59","country_code":"JP","type":"education","lineage":["https://openalex.org/I14314212"]},{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takayuki Hibi","raw_affiliation_strings":["Department of Mathematics, Graduate School of Science, Osaka University; Toyonaka, Osaka 560\u20130043, Japan;","Department of Mathematics, Graduate School of Science, Osaka University","Toyonaka, Osaka 560\u20130043, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Graduate School of Science, Osaka University; Toyonaka, Osaka 560\u20130043, Japan;","institution_ids":["https://openalex.org/I14314212","https://openalex.org/I98285908"]},{"raw_affiliation_string":"Department of Mathematics, Graduate School of Science, Osaka University","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Toyonaka, Osaka 560\u20130043, Japan","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005668319"],"corresponding_institution_ids":["https://openalex.org/I14314212","https://openalex.org/I98285908"],"apc_list":null,"apc_paid":null,"fwci":0.5287,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.67070412,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"18","issue":"4","first_page":"541","last_page":"548"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9970999956130981,"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":0.9970999956130981,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9962000250816345,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","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":0.8802540302276611},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7203492522239685},{"id":"https://openalex.org/keywords/comparability","display_name":"Comparability","score":0.6515092849731445},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.556303083896637},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5453072190284729},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.5010297298431396},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.4563806653022766},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42229408025741577},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06625160574913025}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8802540302276611},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7203492522239685},{"id":"https://openalex.org/C197947376","wikidata":"https://www.wikidata.org/wiki/Q5155608","display_name":"Comparability","level":2,"score":0.6515092849731445},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.556303083896637},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5453072190284729},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.5010297298431396},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4563806653022766},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42229408025741577},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06625160574913025},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s004930050039","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s004930050039","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1515761639","https://openalex.org/W1516274256","https://openalex.org/W1519801683","https://openalex.org/W1607743930","https://openalex.org/W2020921385","https://openalex.org/W2049887259","https://openalex.org/W2066287678","https://openalex.org/W2914659449"],"related_works":["https://openalex.org/W2365594754","https://openalex.org/W2575292835","https://openalex.org/W4287902769","https://openalex.org/W3001140700","https://openalex.org/W2995453361","https://openalex.org/W3021704418","https://openalex.org/W4390295458","https://openalex.org/W1990407237","https://openalex.org/W2614680695","https://openalex.org/W2963392837"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}