{"id":"https://openalex.org/W2899935356","doi":"https://doi.org/10.1007/s00454-020-00187-y","title":"Enumeration of Lattice Polytopes by Their Volume","display_name":"Enumeration of Lattice Polytopes by Their Volume","publication_year":2020,"publication_date":"2020-03-09","ids":{"openalex":"https://openalex.org/W2899935356","doi":"https://doi.org/10.1007/s00454-020-00187-y","mag":"2899935356"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-020-00187-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-020-00187-y","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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1811.03357","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030725986","display_name":"Gabriele Balletti","orcid":"https://orcid.org/0000-0002-0536-0027"},"institutions":[{"id":"https://openalex.org/I161593684","display_name":"Stockholm University","ror":"https://ror.org/05f0yaq80","country_code":"SE","type":"education","lineage":["https://openalex.org/I161593684"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Gabriele Balletti","raw_affiliation_strings":["Department of Mathematics, Stockholm University, 106 91, Stockholm, Sweden","Dept of Mathematics; Stockholm Univ.; Stockholm Sweden"],"raw_orcid":"https://orcid.org/0000-0002-0536-0027","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Stockholm University, 106 91, Stockholm, Sweden","institution_ids":["https://openalex.org/I161593684"]},{"raw_affiliation_string":"Dept of Mathematics; Stockholm Univ.; Stockholm Sweden","institution_ids":["https://openalex.org/I161593684"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5030725986"],"corresponding_institution_ids":["https://openalex.org/I161593684"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":1.0532,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6714944,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"65","issue":"4","first_page":"1087","last_page":"1122"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.986299991607666,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.947365403175354},{"id":"https://openalex.org/keywords/unimodular-matrix","display_name":"Unimodular matrix","score":0.9321850538253784},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.7915123105049133},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7695938348770142},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6862955093383789},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.6334478855133057},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5951582789421082},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4978139400482178},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.45920330286026},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.44950827956199646},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.43311959505081177},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3911808431148529},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13742390275001526}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.947365403175354},{"id":"https://openalex.org/C201958917","wikidata":"https://www.wikidata.org/wiki/Q1367055","display_name":"Unimodular matrix","level":2,"score":0.9321850538253784},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.7915123105049133},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7695938348770142},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6862955093383789},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.6334478855133057},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5951582789421082},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4978139400482178},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.45920330286026},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.44950827956199646},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.43311959505081177},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3911808431148529},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13742390275001526},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00454-020-00187-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-020-00187-y","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"},{"id":"pmh:oai:arXiv.org:1811.03357","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1811.03357","pdf_url":"https://arxiv.org/pdf/1811.03357","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2899935356","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1811.03357","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1811.03357","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1811.03357","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1811.03357","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1811.03357","pdf_url":"https://arxiv.org/pdf/1811.03357","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W1495925306","https://openalex.org/W1539239987","https://openalex.org/W1582615768","https://openalex.org/W1595605524","https://openalex.org/W1625610113","https://openalex.org/W1845479838","https://openalex.org/W1963534149","https://openalex.org/W1964445456","https://openalex.org/W1973936043","https://openalex.org/W1976677460","https://openalex.org/W1981287047","https://openalex.org/W1986071443","https://openalex.org/W1987825278","https://openalex.org/W1996589670","https://openalex.org/W2014380411","https://openalex.org/W2015438979","https://openalex.org/W2018441586","https://openalex.org/W2021567595","https://openalex.org/W2036854788","https://openalex.org/W2045645047","https://openalex.org/W2052170167","https://openalex.org/W2057527818","https://openalex.org/W2064772039","https://openalex.org/W2072341992","https://openalex.org/W2073417587","https://openalex.org/W2078768840","https://openalex.org/W2082375786","https://openalex.org/W2085116874","https://openalex.org/W2157296266","https://openalex.org/W2166329169","https://openalex.org/W2482024337","https://openalex.org/W2549420738","https://openalex.org/W2561312639","https://openalex.org/W2566917795","https://openalex.org/W2603464429","https://openalex.org/W2753535706","https://openalex.org/W2791463978","https://openalex.org/W2810600765","https://openalex.org/W2906962023","https://openalex.org/W2951862668","https://openalex.org/W2963423285","https://openalex.org/W2963553657","https://openalex.org/W2963776316","https://openalex.org/W2963800692","https://openalex.org/W2964009107","https://openalex.org/W2964281192","https://openalex.org/W2978522514","https://openalex.org/W3102947180","https://openalex.org/W4210631977","https://openalex.org/W4237179050","https://openalex.org/W6609303851","https://openalex.org/W6611819651","https://openalex.org/W6698286474","https://openalex.org/W6699426990","https://openalex.org/W6701192910"],"related_works":["https://openalex.org/W3011847229","https://openalex.org/W2949239192","https://openalex.org/W1978159628","https://openalex.org/W2963919215","https://openalex.org/W1583248212","https://openalex.org/W2301009273","https://openalex.org/W2063202615","https://openalex.org/W203418652","https://openalex.org/W3016435307","https://openalex.org/W2593618663","https://openalex.org/W2287564435","https://openalex.org/W3000204537","https://openalex.org/W2149597729","https://openalex.org/W2963641544","https://openalex.org/W2166886059","https://openalex.org/W2187114721","https://openalex.org/W3103462803","https://openalex.org/W2949945120","https://openalex.org/W2792115744","https://openalex.org/W2952708348"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}