{"id":"https://openalex.org/W2162144048","doi":"https://doi.org/10.1007/s00454-011-9379-z","title":"A Generalisation of Tverberg\u2019s Theorem","display_name":"A Generalisation of Tverberg\u2019s Theorem","publication_year":2012,"publication_date":"2012-01-11","ids":{"openalex":"https://openalex.org/W2162144048","doi":"https://doi.org/10.1007/s00454-011-9379-z","mag":"2162144048"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-011-9379-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-011-9379-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-011-9379-z.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/s00454-011-9379-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058480137","display_name":"Pablo Sober\u00f3n","orcid":"https://orcid.org/0000-0003-2347-4279"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Pablo Sober\u00f3n","raw_affiliation_strings":["Instituto de Matem\u00e1ticas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Circuito Exterior, Ciudad Universitaria, M\u00e9xico D.F., 04510, Mexico"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1ticas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Circuito Exterior, Ciudad Universitaria, M\u00e9xico D.F., 04510, Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083610189","display_name":"Ricardo Strausz","orcid":"https://orcid.org/0000-0001-6017-7789"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Ricardo Strausz","raw_affiliation_strings":["Instituto de Matem\u00e1ticas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Circuito Exterior, Ciudad Universitaria, M\u00e9xico D.F., 04510, Mexico"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1ticas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Circuito Exterior, Ciudad Universitaria, M\u00e9xico D.F., 04510, Mexico","institution_ids":["https://openalex.org/I8961855"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058480137"],"corresponding_institution_ids":["https://openalex.org/I8961855"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.3457,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.9411958,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"47","issue":"3","first_page":"455","last_page":"460"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9961000084877014,"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":0.9961000084877014,"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":0.9713000059127808,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9620000123977661,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/combinatorics","display_name":"Combinatorics","score":0.8193650245666504},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7782952189445496},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6545034050941467},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6198814511299133},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.6089041233062744},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14653775095939636}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8193650245666504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7782952189445496},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6545034050941467},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6198814511299133},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.6089041233062744},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14653775095939636}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-011-9379-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-011-9379-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-011-9379-z.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"}],"best_oa_location":{"id":"doi:10.1007/s00454-011-9379-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-011-9379-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-011-9379-z.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":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2162144048.pdf","grobid_xml":"https://content.openalex.org/works/W2162144048.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W11175510","https://openalex.org/W1629841509","https://openalex.org/W1965211025","https://openalex.org/W1971444741","https://openalex.org/W1976787116","https://openalex.org/W1977098616","https://openalex.org/W1978548548","https://openalex.org/W1979104723","https://openalex.org/W1979171945","https://openalex.org/W1984879308","https://openalex.org/W1998816828","https://openalex.org/W2002660917","https://openalex.org/W2004331157","https://openalex.org/W2005373456","https://openalex.org/W2006193035","https://openalex.org/W2009705620","https://openalex.org/W2012492243","https://openalex.org/W2020057129","https://openalex.org/W2021340270","https://openalex.org/W2024581561","https://openalex.org/W2025351018","https://openalex.org/W2030003887","https://openalex.org/W2030335933","https://openalex.org/W2032637173","https://openalex.org/W2041990950","https://openalex.org/W2049652998","https://openalex.org/W2054865577","https://openalex.org/W2057997648","https://openalex.org/W2059226531","https://openalex.org/W2061441695","https://openalex.org/W2065844374","https://openalex.org/W2076053977","https://openalex.org/W2094974037","https://openalex.org/W2104130541","https://openalex.org/W2108940231","https://openalex.org/W2135674527","https://openalex.org/W2139030504","https://openalex.org/W2330249222","https://openalex.org/W2494878682","https://openalex.org/W2762041951","https://openalex.org/W2950302819","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W1987507258"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
