{"id":"https://openalex.org/W2735816714","doi":"https://doi.org/10.1145/3086464","title":"Max-Sum Diversification, Monotone Submodular Functions, and Dynamic Updates","display_name":"Max-Sum Diversification, Monotone Submodular Functions, and Dynamic Updates","publication_year":2017,"publication_date":"2017-07-13","ids":{"openalex":"https://openalex.org/W2735816714","doi":"https://doi.org/10.1145/3086464","mag":"2735816714"},"language":"en","primary_location":{"id":"doi:10.1145/3086464","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3086464","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","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/A5109583026","display_name":"Allan Borodin","orcid":null},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Allan Borodin","raw_affiliation_strings":["University of Toronto, Ontario, Canada"],"affiliations":[{"raw_affiliation_string":"University of Toronto, Ontario, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091520200","display_name":"Aadhar Jain","orcid":null},"institutions":[{"id":"https://openalex.org/I4210144869","display_name":"Under Armour (United States)","ror":"https://ror.org/05a2v3w63","country_code":"US","type":"company","lineage":["https://openalex.org/I4210144869"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aadhar Jain","raw_affiliation_strings":["Under Armour Connected Fitness, Mountain View, California"],"affiliations":[{"raw_affiliation_string":"Under Armour Connected Fitness, Mountain View, California","institution_ids":["https://openalex.org/I4210144869"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101945967","display_name":"Hyun Chul Lee","orcid":"https://orcid.org/0000-0002-3052-8266"},"institutions":[{"id":"https://openalex.org/I4210144869","display_name":"Under Armour (United States)","ror":"https://ror.org/05a2v3w63","country_code":"US","type":"company","lineage":["https://openalex.org/I4210144869"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hyun Chul Lee","raw_affiliation_strings":["Under Armour Connected Fitness, Mountain View, California"],"affiliations":[{"raw_affiliation_string":"Under Armour Connected Fitness, Mountain View, California","institution_ids":["https://openalex.org/I4210144869"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002974566","display_name":"Yuli Ye","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yuli Ye","raw_affiliation_strings":["Wish, Ontario, Canada"],"affiliations":[{"raw_affiliation_string":"Wish, Ontario, Canada","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5109583026"],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":null,"apc_paid":null,"fwci":3.0807,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.92557758,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"13","issue":"3","first_page":"1","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9977999925613403,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9977999925613403,"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/T12288","display_name":"Optimization and Search Problems","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11502","display_name":"Facility Location and Emergency Management","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/submodular-set-function","display_name":"Submodular set function","score":0.9062842130661011},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6351302862167358},{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.6089138388633728},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6072984337806702},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49211567640304565},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.4913913309574127},{"id":"https://openalex.org/keywords/automatic-summarization","display_name":"Automatic summarization","score":0.475965678691864},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.4617611765861511},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41168588399887085},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26492980122566223},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.10955122113227844}],"concepts":[{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.9062842130661011},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6351302862167358},{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.6089138388633728},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6072984337806702},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49211567640304565},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.4913913309574127},{"id":"https://openalex.org/C170858558","wikidata":"https://www.wikidata.org/wiki/Q1394144","display_name":"Automatic summarization","level":2,"score":0.475965678691864},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.4617611765861511},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41168588399887085},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26492980122566223},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.10955122113227844},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3086464","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3086464","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W1186376897","https://openalex.org/W1510395949","https://openalex.org/W1546477643","https://openalex.org/W1624890229","https://openalex.org/W1680189815","https://openalex.org/W1962684803","https://openalex.org/W1965734368","https://openalex.org/W1973296628","https://openalex.org/W1975512711","https://openalex.org/W1986998000","https://openalex.org/W1990605847","https://openalex.org/W1993320088","https://openalex.org/W2001554016","https://openalex.org/W2007815473","https://openalex.org/W2009995236","https://openalex.org/W2019196387","https://openalex.org/W2023599408","https://openalex.org/W2026439336","https://openalex.org/W2033515640","https://openalex.org/W2033885045","https://openalex.org/W2037098674","https://openalex.org/W2038428842","https://openalex.org/W2061820396","https://openalex.org/W2068073180","https://openalex.org/W2074066648","https://openalex.org/W2083305840","https://openalex.org/W2091602684","https://openalex.org/W2093819975","https://openalex.org/W2099799055","https://openalex.org/W2102747382","https://openalex.org/W2104895009","https://openalex.org/W2106667863","https://openalex.org/W2107126505","https://openalex.org/W2107628743","https://openalex.org/W2111336742","https://openalex.org/W2117476371","https://openalex.org/W2118947995","https://openalex.org/W2132651631","https://openalex.org/W2144933361","https://openalex.org/W2149547418","https://openalex.org/W2152228468","https://openalex.org/W2153941542","https://openalex.org/W2159579504","https://openalex.org/W2160321559","https://openalex.org/W2162704429","https://openalex.org/W2165092157","https://openalex.org/W2166224193","https://openalex.org/W2177686805","https://openalex.org/W2197919320","https://openalex.org/W2398797015","https://openalex.org/W2402364982","https://openalex.org/W2604855139","https://openalex.org/W2745300566","https://openalex.org/W2757107770","https://openalex.org/W2988480584","https://openalex.org/W3118655244","https://openalex.org/W3138773240","https://openalex.org/W4230624213","https://openalex.org/W6630737694"],"related_works":["https://openalex.org/W2963844234","https://openalex.org/W2803250016","https://openalex.org/W4252399622","https://openalex.org/W4320232260","https://openalex.org/W1499990180","https://openalex.org/W4241672388","https://openalex.org/W2923536170","https://openalex.org/W2944744777","https://openalex.org/W4321600307","https://openalex.org/W4251076636"],"abstract_inverted_index":{"Result":[0],"diversification":[1,89,158],"is":[2,42,90,120,129,138,152,169,183],"an":[3,210],"important":[4],"aspect":[5],"in":[6,124,147,161,167,179],"web-based":[7],"search,":[8],"document":[9],"summarization,":[10],"facility":[11],"location,":[12],"portfolio":[13],"management,":[14],"and":[15,71,136,163,194,204],"other":[16],"applications.":[17],"Given":[18],"a":[19,25,35,45,93,106,115,125,132,153,170,197,201,205],"set":[20,26],"of":[21,27,68,87,109,143,155,172],"ranked":[22],"results":[23,67,76],"for":[24,200,209],"objects":[28,146],"(e.g.,":[29,60],"web":[30],"documents,":[31],"facilities,":[32],"etc.)":[33],"with":[34,186],"distance":[36,83],"between":[37,145],"any":[38],"pair,":[39],"the":[40,49,54,64,73,82,112,118,141,156,173,187],"goal":[41,86],"to":[43,81,91],"select":[44],"subset":[46,55,65,74,95],"S":[47,56,148],"satisfying":[48],"following":[50],"three":[51],"criteria:":[52],"(a)":[53],"satisfies":[57],"some":[58],"constraint":[59,119,203],"bounded":[61],"cardinality),":[62],"(b)":[63],"contains":[66,75],"high":[69,98],"\u201cquality,\u201d":[70],"(c)":[72],"that":[77,216],"are":[78,114],"\u201cdiverse\u201d":[79],"relative":[80],"measure.":[84],"The":[85],"result":[88],"produce":[92],"diversified":[94],"while":[96],"maintaining":[97],"quality":[99,128],"as":[100,102,140],"much":[101],"possible.":[103],"We":[104,190,214],"study":[105],"broad":[107],"class":[108],"problems":[110],"where":[111,117,127],"distances":[113,144],"metric,":[116],"given":[121],"by":[122,131],"independence":[123],"matroid,":[126],"determined":[130],"monotone":[133],"submodular":[134],"function":[135],"diversity":[137],"defined":[139],"sum":[142],".":[149],"Our":[150],"problem":[151,159,176],"generalization":[154,171],"max-sum":[157,174],"studied":[160,177],"Gollapudi":[162],"Sharma":[164],"[2009],":[165],"which":[166],"turn":[168],"p-dispersion":[175],"extensively":[178],"location":[180],"theory.":[181],"It":[182],"NP-hard":[184],"even":[185],"triangle":[188],"inequality.":[189],"propose":[191],"two":[192],"simple":[193],"natural":[195],"algorithms:":[196],"greedy":[198],"algorithm":[199,208],"cardinality":[202],"local":[206],"search":[207],"arbitrary":[211],"matroid":[212],"constraint.":[213],"prove":[215],"both":[217],"algorithms":[218],"achieve":[219],"constant":[220],"approximation":[221],"ratios.":[222]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
