{"id":"https://openalex.org/W2007850947","doi":"https://doi.org/10.1016/s0925-7721(01)00049-9","title":"Enumerating a subset of the integer points inside a Minkowski sum","display_name":"Enumerating a subset of the integer points inside a Minkowski sum","publication_year":2002,"publication_date":"2002-05-01","ids":{"openalex":"https://openalex.org/W2007850947","doi":"https://doi.org/10.1016/s0925-7721(01)00049-9","mag":"2007850947"},"language":"en","primary_location":{"id":"doi:10.1016/s0925-7721(01)00049-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0925-7721(01)00049-9","pdf_url":null,"source":{"id":"https://openalex.org/S165542689","display_name":"Computational Geometry","issn_l":"0925-7721","issn":["0925-7721","1879-081X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Geometry","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/A5087662998","display_name":"Ioannis Z. Emiris","orcid":"https://orcid.org/0000-0002-2339-5303"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Ioannis Z. Emiris","raw_affiliation_strings":["INRIA, B.P. 93, Sophia-Antipolis, 06902, France#TAB#"],"affiliations":[{"raw_affiliation_string":"INRIA, B.P. 93, Sophia-Antipolis, 06902, France#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087662998"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":{"value":2180,"currency":"USD","value_usd":2180},"apc_paid":null,"fwci":1.0363,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74199623,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"1-3","first_page":"143","last_page":"166"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9987000226974487,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9968000054359436,"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/integer","display_name":"Integer (computer science)","score":0.7681229114532471},{"id":"https://openalex.org/keywords/minkowski-space","display_name":"Minkowski space","score":0.6443914175033569},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5373645424842834},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5102248191833496},{"id":"https://openalex.org/keywords/minkowski-addition","display_name":"Minkowski addition","score":0.443763792514801},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34101802110671997},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2138710916042328},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13627231121063232}],"concepts":[{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.7681229114532471},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.6443914175033569},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5373645424842834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5102248191833496},{"id":"https://openalex.org/C10233890","wikidata":"https://www.wikidata.org/wiki/Q1322294","display_name":"Minkowski addition","level":3,"score":0.443763792514801},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34101802110671997},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2138710916042328},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13627231121063232},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0925-7721(01)00049-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0925-7721(01)00049-9","pdf_url":null,"source":{"id":"https://openalex.org/S165542689","display_name":"Computational Geometry","issn_l":"0925-7721","issn":["0925-7721","1879-081X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Geometry","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W107799185","https://openalex.org/W608832534","https://openalex.org/W1483018308","https://openalex.org/W1534719102","https://openalex.org/W1762430620","https://openalex.org/W1980479586","https://openalex.org/W1983122795","https://openalex.org/W1984146389","https://openalex.org/W1985065217","https://openalex.org/W1985372427","https://openalex.org/W1987752344","https://openalex.org/W1993982015","https://openalex.org/W1995786326","https://openalex.org/W2013504313","https://openalex.org/W2015480070","https://openalex.org/W2030837997","https://openalex.org/W2043606168","https://openalex.org/W2048277184","https://openalex.org/W2050356354","https://openalex.org/W2052039890","https://openalex.org/W2066130115","https://openalex.org/W2080589685","https://openalex.org/W2088194477","https://openalex.org/W2098571099","https://openalex.org/W2100440346","https://openalex.org/W2125173284","https://openalex.org/W2129560300","https://openalex.org/W2143023483","https://openalex.org/W2143881994","https://openalex.org/W2144858005","https://openalex.org/W2161420356","https://openalex.org/W2218652040","https://openalex.org/W2432517183","https://openalex.org/W2530332639","https://openalex.org/W2889362028","https://openalex.org/W2981264952","https://openalex.org/W3043060850","https://openalex.org/W3085654919","https://openalex.org/W3148818577","https://openalex.org/W4237500382","https://openalex.org/W4293860921","https://openalex.org/W6631246639","https://openalex.org/W6631886836","https://openalex.org/W6645645701","https://openalex.org/W6646095731","https://openalex.org/W6646253505","https://openalex.org/W6675081287","https://openalex.org/W6681397641","https://openalex.org/W6777074855","https://openalex.org/W6783346882"],"related_works":["https://openalex.org/W2286777929","https://openalex.org/W2950428426","https://openalex.org/W4293050169","https://openalex.org/W960999769","https://openalex.org/W4309277470","https://openalex.org/W2936973291","https://openalex.org/W4211088175","https://openalex.org/W4313413682","https://openalex.org/W2949317807","https://openalex.org/W2850664645"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
