{"id":"https://openalex.org/W2220539176","doi":"https://doi.org/10.1007/s00454-016-9762-x","title":"On the Diameter of Lattice Polytopes","display_name":"On the Diameter of Lattice Polytopes","publication_year":2016,"publication_date":"2016-02-16","ids":{"openalex":"https://openalex.org/W2220539176","doi":"https://doi.org/10.1007/s00454-016-9762-x","mag":"2220539176"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-016-9762-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-016-9762-x","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041262148","display_name":"Alberto Del Pia","orcid":"https://orcid.org/0000-0001-8428-3914"},"institutions":[{"id":"https://openalex.org/I2802999273","display_name":"Wisconsin Institutes for Discovery","ror":"https://ror.org/05gbven85","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2802999273"]},{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alberto Del Pia","raw_affiliation_strings":["Department of Industrial and Systems Engineering & Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, WI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering & Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, WI, USA","institution_ids":["https://openalex.org/I2802999273","https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078379802","display_name":"Carla Michini","orcid":"https://orcid.org/0000-0002-4717-816X"},"institutions":[{"id":"https://openalex.org/I2802999273","display_name":"Wisconsin Institutes for Discovery","ror":"https://ror.org/05gbven85","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2802999273"]},{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Carla Michini","raw_affiliation_strings":["Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, WI, USA"],"affiliations":[{"raw_affiliation_string":"Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, WI, USA","institution_ids":["https://openalex.org/I2802999273","https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078379802"],"corresponding_institution_ids":["https://openalex.org/I135310074","https://openalex.org/I2802999273"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":12.1293,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.98166692,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"55","issue":"3","first_page":"681","last_page":"687"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9951000213623047,"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/T11887","display_name":"Quasicrystal Structures and Properties","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.9446674585342407},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8706223368644714},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8259360790252686},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6093775033950806},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.105878084897995}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.9446674585342407},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8706223368644714},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8259360790252686},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6093775033950806},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.105878084897995},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-016-9762-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-016-9762-x","pdf_url":null,"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":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1963547452","https://openalex.org/W1977846486","https://openalex.org/W1985859952","https://openalex.org/W1992428442","https://openalex.org/W2001729942","https://openalex.org/W2005598280","https://openalex.org/W2007980488","https://openalex.org/W2031806265","https://openalex.org/W2042483675","https://openalex.org/W2078992232","https://openalex.org/W2085721624","https://openalex.org/W2086875254","https://openalex.org/W2158907148","https://openalex.org/W2988480584","https://openalex.org/W4301808069"],"related_works":["https://openalex.org/W2107784188","https://openalex.org/W4295332765","https://openalex.org/W4372320108","https://openalex.org/W2489571958","https://openalex.org/W2753535706","https://openalex.org/W1845479838","https://openalex.org/W2894444216","https://openalex.org/W2950516911","https://openalex.org/W2950982538","https://openalex.org/W4285305073"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}