{"id":"https://openalex.org/W2031765551","doi":"https://doi.org/10.1007/pl00009300","title":"On Helly's Theorem: Algorithms and Extensions","display_name":"On Helly's Theorem: Algorithms and Extensions","publication_year":1997,"publication_date":"1997-06-01","ids":{"openalex":"https://openalex.org/W2031765551","doi":"https://doi.org/10.1007/pl00009300","mag":"2031765551"},"language":"en","primary_location":{"id":"doi:10.1007/pl00009300","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009300","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009300.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/PL00009300.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012685380","display_name":"Andreas Brieden","orcid":null},"institutions":[{"id":"https://openalex.org/I89864525","display_name":"Universit\u00e4t Trier","ror":"https://ror.org/02778hg05","country_code":"DE","type":"education","lineage":["https://openalex.org/I89864525"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"A. Brieden","raw_affiliation_strings":["Fachbereich IV, Mathematik, Universit\u00e4t Trier,  D-54286 Trier, Germany  \\{brieden, gritzman\\}@uni-trier.de , , , , , , DE","Fachbereich IV, Mathematik, Universit\u00e4t Trier, D-54286 Trier, Germany \\\\{brieden, gritzman\\\\}@uni-trier.de , DE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachbereich IV, Mathematik, Universit\u00e4t Trier,  D-54286 Trier, Germany  \\{brieden, gritzman\\}@uni-trier.de , , , , , , DE","institution_ids":["https://openalex.org/I89864525"]},{"raw_affiliation_string":"Fachbereich IV, Mathematik, Universit\u00e4t Trier, D-54286 Trier, Germany \\\\{brieden, gritzman\\\\}@uni-trier.de , DE","institution_ids":["https://openalex.org/I89864525"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009407877","display_name":"Peter Gritzmann","orcid":"https://orcid.org/0000-0003-0157-6880"},"institutions":[{"id":"https://openalex.org/I89864525","display_name":"Universit\u00e4t Trier","ror":"https://ror.org/02778hg05","country_code":"DE","type":"education","lineage":["https://openalex.org/I89864525"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"P. Gritzmann","raw_affiliation_strings":["Fachbereich IV, Mathematik, Universit\u00e4t Trier,  D-54286 Trier, Germany  \\{brieden, gritzman\\}@uni-trier.de , , , , , , DE","Fachbereich IV, Mathematik, Universit\u00e4t Trier, D-54286 Trier, Germany \\\\{brieden, gritzman\\\\}@uni-trier.de , DE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachbereich IV, Mathematik, Universit\u00e4t Trier,  D-54286 Trier, Germany  \\{brieden, gritzman\\}@uni-trier.de , , , , , , DE","institution_ids":["https://openalex.org/I89864525"]},{"raw_affiliation_string":"Fachbereich IV, Mathematik, Universit\u00e4t Trier, D-54286 Trier, Germany \\\\{brieden, gritzman\\\\}@uni-trier.de , DE","institution_ids":["https://openalex.org/I89864525"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I89864525"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15069444,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"4","first_page":"393","last_page":"410"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9991999864578247,"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":0.9991999864578247,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9980999827384949,"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":0.7196800112724304},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.7100833654403687},{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.6409367918968201},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6300932168960571},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5430987477302551},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47975265979766846},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.42933568358421326},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4287586510181427},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3781471252441406},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15939342975616455}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7196800112724304},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.7100833654403687},{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.6409367918968201},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6300932168960571},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5430987477302551},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47975265979766846},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.42933568358421326},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4287586510181427},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3781471252441406},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15939342975616455},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/pl00009300","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009300","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009300.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-007410254","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/pl00009300","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009300","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009300.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320318419","display_name":"Universit\u00e4t Trier","ror":"https://ror.org/02778hg05"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2031765551.pdf","grobid_xml":"https://content.openalex.org/works/W2031765551.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1494436834","https://openalex.org/W1499399028","https://openalex.org/W1571966798","https://openalex.org/W1975360289","https://openalex.org/W1978492002","https://openalex.org/W1985065217","https://openalex.org/W2022029673","https://openalex.org/W2025190766","https://openalex.org/W2100227891","https://openalex.org/W2100440346","https://openalex.org/W2108922196","https://openalex.org/W2116403087","https://openalex.org/W2323310130","https://openalex.org/W2583711808","https://openalex.org/W3150133211","https://openalex.org/W4235730211","https://openalex.org/W4300645277"],"related_works":["https://openalex.org/W4280529077","https://openalex.org/W2507185596","https://openalex.org/W2323315425","https://openalex.org/W4287022798","https://openalex.org/W2884061808","https://openalex.org/W2901329027","https://openalex.org/W3195259914","https://openalex.org/W4301514264","https://openalex.org/W3153687528","https://openalex.org/W4287212971"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
