{"id":"https://openalex.org/W1650958023","doi":"https://doi.org/10.1007/s00454-011-9385-1","title":"Maximal f-Vectors of Minkowski Sums of Large Numbers of Polytopes","display_name":"Maximal f-Vectors of Minkowski Sums of Large Numbers of Polytopes","publication_year":2011,"publication_date":"2011-11-08","ids":{"openalex":"https://openalex.org/W1650958023","doi":"https://doi.org/10.1007/s00454-011-9385-1","mag":"1650958023"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-011-9385-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-011-9385-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-011-9385-1.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 & 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/s00454-011-9385-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051520178","display_name":"Christophe Weibel","orcid":null},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Christophe Weibel","raw_affiliation_strings":["Computer Science, Dartmouth College, HB 6211, Hanover, NH, 03755, USA","Dartmouth College, Computer Science, HB 6211, 03755, Hanover, NH, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Computer Science, Dartmouth College, HB 6211, Hanover, NH, 03755, USA","institution_ids":["https://openalex.org/I107672454"]},{"raw_affiliation_string":"Dartmouth College, Computer Science, HB 6211, 03755, Hanover, NH, USA#TAB#","institution_ids":["https://openalex.org/I107672454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5051520178"],"corresponding_institution_ids":["https://openalex.org/I107672454"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.7439,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.77668815,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"47","issue":"3","first_page":"519","last_page":"537"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9972000122070312,"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":0.9972000122070312,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9782000184059143,"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/polytope","display_name":"Polytope","score":0.9295421242713928},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8461927175521851},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8383340835571289},{"id":"https://openalex.org/keywords/minkowski-addition","display_name":"Minkowski addition","score":0.8327386975288391},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.7046420574188232},{"id":"https://openalex.org/keywords/minkowski-space","display_name":"Minkowski space","score":0.6181554794311523},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4631724953651428},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.44788381457328796},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3295520544052124},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07719823718070984},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06049385666847229}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.9295421242713928},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8461927175521851},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8383340835571289},{"id":"https://openalex.org/C10233890","wikidata":"https://www.wikidata.org/wiki/Q1322294","display_name":"Minkowski addition","level":3,"score":0.8327386975288391},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7046420574188232},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.6181554794311523},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4631724953651428},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.44788381457328796},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3295520544052124},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07719823718070984},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06049385666847229}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-011-9385-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-011-9385-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-011-9385-1.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 & Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-011-9385-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-011-9385-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-011-9385-1.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 & 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/W1650958023.pdf","grobid_xml":"https://content.openalex.org/works/W1650958023.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1584154100","https://openalex.org/W1597196612","https://openalex.org/W1979867394","https://openalex.org/W1985065217","https://openalex.org/W2005644466","https://openalex.org/W2020339397","https://openalex.org/W2029948740","https://openalex.org/W2091165358","https://openalex.org/W2112785014","https://openalex.org/W2163178194","https://openalex.org/W2165549319","https://openalex.org/W2186729226","https://openalex.org/W2494974567","https://openalex.org/W2951049512","https://openalex.org/W4206570602","https://openalex.org/W4252017042","https://openalex.org/W6634828021"],"related_works":["https://openalex.org/W3128178508","https://openalex.org/W2560815480","https://openalex.org/W2962710660","https://openalex.org/W2112785014","https://openalex.org/W2286777929","https://openalex.org/W4293050169","https://openalex.org/W3124338670","https://openalex.org/W2078958623","https://openalex.org/W2950428426","https://openalex.org/W2012395617"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}