{"id":"https://openalex.org/W2765469756","doi":"https://doi.org/10.1007/s10107-017-1201-0","title":"On max-k-sums","display_name":"On max-k-sums","publication_year":2017,"publication_date":"2017-10-25","ids":{"openalex":"https://openalex.org/W2765469756","doi":"https://doi.org/10.1007/s10107-017-1201-0","mag":"2765469756"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-017-1201-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-017-1201-0","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5102817920","display_name":"Michael J. Todd","orcid":"https://orcid.org/0000-0001-9458-3443"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael J. Todd","raw_affiliation_strings":["School of Operations Research and Information Engineering, Cornell University, Ithaca, NY, 14853, USA"],"raw_orcid":"https://orcid.org/0000-0001-9458-3443","affiliations":[{"raw_affiliation_string":"School of Operations Research and Information Engineering, Cornell University, Ithaca, NY, 14853, USA","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102817920"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.709,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.70123987,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"171","issue":"1-2","first_page":"489","last_page":"517"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9894000291824341,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9894000291824341,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9889000058174133,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/mathematics","display_name":"Mathematics","score":0.876017689704895},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.7468684315681458},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6216075420379639},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5298948884010315},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5165104269981384},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.4684341847896576},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.46292969584465027},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4463408291339874},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34426558017730713},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27253496646881104},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12295088171958923},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10376501083374023}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.876017689704895},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.7468684315681458},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6216075420379639},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5298948884010315},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5165104269981384},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.4684341847896576},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.46292969584465027},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4463408291339874},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34426558017730713},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27253496646881104},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12295088171958923},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10376501083374023},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-017-1201-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-017-1201-0","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320332415","display_name":"College of Veterinary Medicine, Cornell University","ror":"https://ror.org/05bnh6r87"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W10800830","https://openalex.org/W123211135","https://openalex.org/W160580173","https://openalex.org/W1632601927","https://openalex.org/W1647779468","https://openalex.org/W1669104078","https://openalex.org/W2006980285","https://openalex.org/W2016624757","https://openalex.org/W2017580271","https://openalex.org/W2035652501","https://openalex.org/W2124541940","https://openalex.org/W2158085114","https://openalex.org/W2161228163","https://openalex.org/W2167124007","https://openalex.org/W2167732364","https://openalex.org/W2219434941","https://openalex.org/W2245582614","https://openalex.org/W2315749593","https://openalex.org/W2963696951","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W1815571","https://openalex.org/W3103555317","https://openalex.org/W3022326874","https://openalex.org/W2163876948","https://openalex.org/W2023434610","https://openalex.org/W2528333032","https://openalex.org/W2045939383","https://openalex.org/W2123317912","https://openalex.org/W2021209870","https://openalex.org/W2371124334"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2017-11-10T00:00:00"}