{"id":"https://openalex.org/W1966224291","doi":"https://doi.org/10.1007/bf02579138","title":"Path-closed sets","display_name":"Path-closed sets","publication_year":1984,"publication_date":"1984-12-01","ids":{"openalex":"https://openalex.org/W1966224291","doi":"https://doi.org/10.1007/bf02579138","mag":"1966224291"},"language":"en","primary_location":{"id":"doi:10.1007/bf02579138","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02579138","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/A5003204524","display_name":"Heinz Gr\u00f6flin","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Heinz Gr\u00f6flin","raw_affiliation_strings":["Institut f\u00fcr Operations Research, ETH-Zentrum, CH-8092, Z\u00fcrich, Switzerland","Institut f\u00fcr Operations Research, ETH-Zentrum, Z\u00fcrich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Operations Research, ETH-Zentrum, CH-8092, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Institut f\u00fcr Operations Research, ETH-Zentrum, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003204524"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":0.6548,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.66254459,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":"4","first_page":"281","last_page":"290"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12401","display_name":"Scheduling and Timetabling Solutions","score":0.910099983215332,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12401","display_name":"Scheduling and Timetabling Solutions","score":0.910099983215332,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12546","display_name":"Smart Parking Systems Research","score":0.9068999886512756,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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":0.902400016784668,"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":0.8737727999687195},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8092811107635498},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.6287798881530762},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5927128791809082},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.5883801579475403},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.4735790193080902},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.4280529022216797},{"id":"https://openalex.org/keywords/closed-set","display_name":"Closed set","score":0.42646855115890503},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4145078659057617},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38543838262557983},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.11690127849578857},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07449087500572205}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8737727999687195},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8092811107635498},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.6287798881530762},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5927128791809082},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.5883801579475403},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.4735790193080902},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.4280529022216797},{"id":"https://openalex.org/C164953516","wikidata":"https://www.wikidata.org/wiki/Q320357","display_name":"Closed set","level":2,"score":0.42646855115890503},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4145078659057617},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38543838262557983},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.11690127849578857},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07449087500572205},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02579138","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02579138","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W25649597","https://openalex.org/W93850005","https://openalex.org/W194194514","https://openalex.org/W1604158939","https://openalex.org/W1991528957","https://openalex.org/W2029880758","https://openalex.org/W2032711721","https://openalex.org/W2042798396","https://openalex.org/W2044935944","https://openalex.org/W2049716158","https://openalex.org/W2072848654","https://openalex.org/W2115465161","https://openalex.org/W2198935113","https://openalex.org/W4254807835"],"related_works":["https://openalex.org/W2916043681","https://openalex.org/W2896131632","https://openalex.org/W2391438543","https://openalex.org/W2997473813","https://openalex.org/W2008231869","https://openalex.org/W323119424","https://openalex.org/W2551069560","https://openalex.org/W2030718493","https://openalex.org/W2469464399","https://openalex.org/W2103429114"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}