{"id":"https://openalex.org/W2404213258","doi":"https://doi.org/10.1090/dimacs/006/03","title":"Horizon theorems for lines and polygons","display_name":"Horizon theorems for lines and polygons","publication_year":1991,"publication_date":"1991-12-20","ids":{"openalex":"https://openalex.org/W2404213258","doi":"https://doi.org/10.1090/dimacs/006/03","mag":"2404213258"},"language":"en","primary_location":{"id":"doi:10.1090/dimacs/006/03","is_oa":false,"landing_page_url":"https://doi.org/10.1090/dimacs/006/03","pdf_url":null,"source":{"id":"https://openalex.org/S4210177973","display_name":"DIMACS series in discrete mathematics and theoretical computer science","issn_l":"1052-1798","issn":["1052-1798","2472-4793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"DIMACS Series in Discrete Mathematics and Theoretical Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5056449861","display_name":"Marshall Bern","orcid":"https://orcid.org/0000-0003-0342-9390"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marshall Bern","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108527295","display_name":"David Eppstein","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David Eppstein","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069052130","display_name":"Paul E. Plassmann","orcid":"https://orcid.org/0000-0001-5413-474X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Paul Plassmann","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5102463516","display_name":"Frances Yao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Frances Yao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1626,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.88461538,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"45","last_page":"66"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9871000051498413,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/horizon","display_name":"Horizon","score":0.5029265284538269},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4403613805770874},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2641388177871704}],"concepts":[{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.5029265284538269},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4403613805770874},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2641388177871704}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/dimacs/006/03","is_oa":false,"landing_page_url":"https://doi.org/10.1090/dimacs/006/03","pdf_url":null,"source":{"id":"https://openalex.org/S4210177973","display_name":"DIMACS series in discrete mathematics and theoretical computer science","issn_l":"1052-1798","issn":["1052-1798","2472-4793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"DIMACS Series in Discrete Mathematics and Theoretical Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1513400187","https://openalex.org/W2019176509","https://openalex.org/W2113438075","https://openalex.org/W2120934134"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}