{"id":"https://openalex.org/W4389831636","doi":"https://doi.org/10.1007/s00454-023-00611-z","title":"Restricted Birkhoff Polytopes and Ehrhart Period Collapse","display_name":"Restricted Birkhoff Polytopes and Ehrhart Period Collapse","publication_year":2023,"publication_date":"2023-12-16","ids":{"openalex":"https://openalex.org/W4389831636","doi":"https://doi.org/10.1007/s00454-023-00611-z"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-023-00611-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-023-00611-z","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/A5021425607","display_name":"Per Alexandersson","orcid":"https://orcid.org/0000-0003-2176-0554"},"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":false,"raw_author_name":"Per Alexandersson","raw_affiliation_strings":["Department of Mathematics, Stockholm University, 106 91, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Stockholm University, 106 91, Stockholm, Sweden","institution_ids":["https://openalex.org/I161593684"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001123654","display_name":"Sam Hopkins","orcid":null},"institutions":[{"id":"https://openalex.org/I137853757","display_name":"Howard University","ror":"https://ror.org/05gt1vc06","country_code":"US","type":"education","lineage":["https://openalex.org/I137853757"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sam Hopkins","raw_affiliation_strings":["Department of Mathematics, Howard University, Washington, DC, USA"],"raw_orcid":"https://orcid.org/0000-0002-0985-4788","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Howard University, Washington, DC, USA","institution_ids":["https://openalex.org/I137853757"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063151349","display_name":"Gjergji Zaimi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210124598","display_name":"Palo Alto Institute","ror":"https://ror.org/02xf01n45","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210124598"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gjergji Zaimi","raw_affiliation_strings":["Palo Alto, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Palo Alto, CA, USA","institution_ids":["https://openalex.org/I4210124598"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001123654"],"corresponding_institution_ids":["https://openalex.org/I137853757"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.3391,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.7891928,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"73","issue":"1","first_page":"62","last_page":"78"},"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11567","display_name":"semigroups and automata theory","score":0.9833999872207642,"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":0.9620955586433411},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.9576099514961243},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8602120876312256},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8302194476127625},{"id":"https://openalex.org/keywords/polyomino","display_name":"Polyomino","score":0.6663394570350647},{"id":"https://openalex.org/keywords/subsequence","display_name":"Subsequence","score":0.5784021615982056},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.49393564462661743},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4701322019100189},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32869020104408264},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.1145969033241272}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.9620955586433411},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.9576099514961243},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8602120876312256},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8302194476127625},{"id":"https://openalex.org/C69919132","wikidata":"https://www.wikidata.org/wiki/Q1144819","display_name":"Polyomino","level":3,"score":0.6663394570350647},{"id":"https://openalex.org/C137877099","wikidata":"https://www.wikidata.org/wiki/Q1332977","display_name":"Subsequence","level":3,"score":0.5784021615982056},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.49393564462661743},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4701322019100189},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32869020104408264},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.1145969033241272},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-023-00611-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-023-00611-z","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":[{"score":0.6100000143051147,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W881774896","https://openalex.org/W1551177513","https://openalex.org/W1972650291","https://openalex.org/W1974073189","https://openalex.org/W1974819272","https://openalex.org/W1979423085","https://openalex.org/W2006159741","https://openalex.org/W2017408364","https://openalex.org/W2020317653","https://openalex.org/W2034709260","https://openalex.org/W2083421159","https://openalex.org/W2085110259","https://openalex.org/W2085889797","https://openalex.org/W2095420391","https://openalex.org/W2108773821","https://openalex.org/W2126244582","https://openalex.org/W2163048034","https://openalex.org/W2482024337","https://openalex.org/W2514854347","https://openalex.org/W2591983047","https://openalex.org/W2721672700","https://openalex.org/W2769741359","https://openalex.org/W2914293354","https://openalex.org/W2962893200","https://openalex.org/W2963038754","https://openalex.org/W2963280465","https://openalex.org/W2964005908","https://openalex.org/W2999323250","https://openalex.org/W3101997405","https://openalex.org/W3107978990","https://openalex.org/W3161963287","https://openalex.org/W3193798259","https://openalex.org/W4206570602","https://openalex.org/W4210460592","https://openalex.org/W4235936977","https://openalex.org/W4250679189","https://openalex.org/W4304842597","https://openalex.org/W4402616208"],"related_works":["https://openalex.org/W4300028912","https://openalex.org/W2952260464","https://openalex.org/W4287702508","https://openalex.org/W3046539174","https://openalex.org/W2009666428","https://openalex.org/W2982899659","https://openalex.org/W2027759271","https://openalex.org/W4282007853","https://openalex.org/W4389831636","https://openalex.org/W10230311"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-01-24T23:23:39.755997","created_date":"2025-10-10T00:00:00"}