{"id":"https://openalex.org/W2029399363","doi":"https://doi.org/10.1016/s0304-3975(99)00078-x","title":"The complexity of functions on lattices","display_name":"The complexity of functions on lattices","publication_year":2000,"publication_date":"2000-09-01","ids":{"openalex":"https://openalex.org/W2029399363","doi":"https://doi.org/10.1016/s0304-3975(99)00078-x","mag":"2029399363"},"language":"en","primary_location":{"id":"doi:10.1016/s0304-3975(99)00078-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(99)00078-x","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","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/A5087740774","display_name":"J. Sander","orcid":"https://orcid.org/0000-0001-8593-0132"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J.W. Sander","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Universit\u00e4t Hannover, Welfengarten 1, 30167 Hannover, Germany","Univ. Hannover, Hannover, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Hannover, Welfengarten 1, 30167 Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]},{"raw_affiliation_string":"Univ. Hannover, Hannover, Germany#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105220874","display_name":"R. Tijdeman","orcid":null},"institutions":[{"id":"https://openalex.org/I121797337","display_name":"Leiden University","ror":"https://ror.org/027bh9e22","country_code":"NL","type":"education","lineage":["https://openalex.org/I121797337"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"R. Tijdeman","raw_affiliation_strings":["Mathematical Institute, Leiden University, P.O. Box 9512, 2300 RA Leiden, The Netherlands","Leiden UniversityLeiden, the Netherlands"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Leiden University, P.O. Box 9512, 2300 RA Leiden, The Netherlands","institution_ids":["https://openalex.org/I121797337"]},{"raw_affiliation_string":"Leiden UniversityLeiden, the Netherlands","institution_ids":["https://openalex.org/I121797337"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5105220874"],"corresponding_institution_ids":["https://openalex.org/I121797337"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":3.7494,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.93065505,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"246","issue":"1-2","first_page":"195","last_page":"225"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9750000238418579,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/bounded-function","display_name":"Bounded function","score":0.6794556379318237},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6474935412406921},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.644760012626648},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6290545463562012},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5820540189743042},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5717133283615112},{"id":"https://openalex.org/keywords/periodic-function","display_name":"Periodic function","score":0.4667791426181793},{"id":"https://openalex.org/keywords/period","display_name":"Period (music)","score":0.4406243860721588},{"id":"https://openalex.org/keywords/number-theory","display_name":"Number theory","score":0.42179393768310547},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4101385176181793},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3801172077655792},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1749526560306549},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13253450393676758},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09144207835197449},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07801404595375061}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6794556379318237},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6474935412406921},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.644760012626648},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6290545463562012},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5820540189743042},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5717133283615112},{"id":"https://openalex.org/C98644592","wikidata":"https://www.wikidata.org/wiki/Q184743","display_name":"Periodic function","level":2,"score":0.4667791426181793},{"id":"https://openalex.org/C2781291010","wikidata":"https://www.wikidata.org/wiki/Q178580","display_name":"Period (music)","level":2,"score":0.4406243860721588},{"id":"https://openalex.org/C169654258","wikidata":"https://www.wikidata.org/wiki/Q12479","display_name":"Number theory","level":2,"score":0.42179393768310547},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4101385176181793},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3801172077655792},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1749526560306549},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13253450393676758},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09144207835197449},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07801404595375061},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0304-3975(99)00078-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(99)00078-x","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.15.9606","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.15.9606","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.leidenuniv.nl/~tijdeman/sant1.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W462256","https://openalex.org/W1534756331","https://openalex.org/W1581077724","https://openalex.org/W1589700598","https://openalex.org/W1969264819","https://openalex.org/W1976512427","https://openalex.org/W1986600306","https://openalex.org/W2006431506","https://openalex.org/W2017335808","https://openalex.org/W2018296456","https://openalex.org/W2030056857","https://openalex.org/W2030227444","https://openalex.org/W2032249209","https://openalex.org/W2039404537","https://openalex.org/W2044151992","https://openalex.org/W2044658036","https://openalex.org/W2050175977","https://openalex.org/W2054331622","https://openalex.org/W2054570635","https://openalex.org/W2073116343","https://openalex.org/W2089806927","https://openalex.org/W2111410725","https://openalex.org/W2115103988","https://openalex.org/W2136264775","https://openalex.org/W2139337670","https://openalex.org/W2317201179","https://openalex.org/W4242358482","https://openalex.org/W4244795967"],"related_works":["https://openalex.org/W3194471551","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W2784911598","https://openalex.org/W4288279572","https://openalex.org/W4297950433","https://openalex.org/W4287023968","https://openalex.org/W2051224659","https://openalex.org/W4226058339","https://openalex.org/W4221156915"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
