{"id":"https://openalex.org/W3092405154","doi":"https://doi.org/10.1142/s1793830921500361","title":"<i>k</i>-Submodular maximization with two kinds of constraints","display_name":"<i>k</i>-Submodular maximization with two kinds of constraints","publication_year":2020,"publication_date":"2020-10-07","ids":{"openalex":"https://openalex.org/W3092405154","doi":"https://doi.org/10.1142/s1793830921500361","mag":"3092405154"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830921500361","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921500361","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5044484182","display_name":"Ganquan Shi","orcid":"https://orcid.org/0000-0002-7845-4980"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ganquan Shi","raw_affiliation_strings":["School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, P. R. China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034954588","display_name":"Shuyang Gu","orcid":"https://orcid.org/0000-0003-4535-2280"},"institutions":[{"id":"https://openalex.org/I76756774","display_name":"Texas A&M University \u2013 Central Texas","ror":"https://ror.org/015hh0z25","country_code":"US","type":"education","lineage":["https://openalex.org/I76756774"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shuyang Gu","raw_affiliation_strings":["Department of Computer Information Systems, Texas A & M University-Central Texas, Killeen, TX 76549, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Information Systems, Texas A & M University-Central Texas, Killeen, TX 76549, USA","institution_ids":["https://openalex.org/I76756774"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070037321","display_name":"Weili Wu","orcid":"https://orcid.org/0000-0001-8747-6340"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Weili Wu","raw_affiliation_strings":["Department of Computer Science, The University of Texas at Dallas, Richardson, TX 75080, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, The University of Texas at Dallas, Richardson, TX 75080, USA","institution_ids":["https://openalex.org/I162577319"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044484182"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":0.4222,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.6897026,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"13","issue":"04","first_page":"2150036","last_page":"2150036"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9991000294685364,"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":0.9991000294685364,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.963699996471405,"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":0.9629999995231628,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/submodular-set-function","display_name":"Submodular set function","score":0.9271338582038879},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.6006045341491699},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5862184762954712},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.574072539806366},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5740655660629272},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5523725152015686},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5363799929618835},{"id":"https://openalex.org/keywords/running-time","display_name":"Running time","score":0.4988827705383301},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.48107075691223145},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.4450765550136566},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3842862546443939},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.19244110584259033},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07153484225273132},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06045535206794739}],"concepts":[{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.9271338582038879},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.6006045341491699},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5862184762954712},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.574072539806366},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5740655660629272},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5523725152015686},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5363799929618835},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.4988827705383301},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.48107075691223145},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4450765550136566},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3842862546443939},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.19244110584259033},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07153484225273132},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06045535206794739},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830921500361","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921500361","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1542515633","https://openalex.org/W1654194294","https://openalex.org/W1930126570","https://openalex.org/W2053381548","https://openalex.org/W2061820396","https://openalex.org/W2098642746","https://openalex.org/W2132651631","https://openalex.org/W2143996311","https://openalex.org/W2179494254","https://openalex.org/W2340054944","https://openalex.org/W2559655401","https://openalex.org/W2752672873","https://openalex.org/W2950365512","https://openalex.org/W2962711478","https://openalex.org/W4231490457","https://openalex.org/W4245400518"],"related_works":["https://openalex.org/W2896347948","https://openalex.org/W2950500962","https://openalex.org/W2915041254","https://openalex.org/W4302557420","https://openalex.org/W2950365512","https://openalex.org/W1608444752","https://openalex.org/W3204684126","https://openalex.org/W2062310236","https://openalex.org/W3013568067","https://openalex.org/W4299354108"],"abstract_inverted_index":{"[Formula:":[0,15,32,52,65,72,78,87,93,105,109,115,120,133,139,151,159,166,173,177],"see":[1,16,33,53,66,73,79,88,94,106,110,116,121,134,140,152,160,167,174,178],"text]-submodular":[2,34,161],"maximization":[3,35],"is":[4,75,123,149],"a":[5,51,58,150,157],"generalization":[6],"of":[7,21,39,77,125],"submodular":[8],"maximization,":[9],"which":[10],"requires":[11],"us":[12],"to":[13,86,104,132],"select":[14],"text]":[17,67,74,95,122,141,175,179],"disjoint":[18],"subsets":[19],"instead":[20],"one":[22],"subset.":[23],"Attracted":[24],"by":[25],"practical":[26],"values":[27],"and":[28,44,163,176],"applications,":[29],"we":[30,49],"consider":[31],"with":[36],"two":[37],"kinds":[38],"constraints.":[40],"For":[41,144],"total":[42],"size":[43,46,146],"individual":[45,145],"difference":[47],"constraints,":[48],"present":[50],"text]-approximation":[54,111,153],"algorithm":[55,100,154],"for":[56,155],"maximizing":[57,156],"nonnegative":[59,158,165],"k-submodular":[60],"function,":[61,169],"running":[62,90,112,136,170],"in":[63,91,113,137,171],"time":[64,92,114,138,172],"at":[68,96,142,181],"worst.":[69,97,143,182],"Specially,":[70],"if":[71,119],"multiple":[76,124],"text],":[80,89,135],"the":[81,127],"approximation":[82,128],"ratio":[83,129],"can":[84,101,130],"reduce":[85,131],"Besides,":[98],"this":[99],"be":[102],"applied":[103],"text]-bisubmodular":[107,168],"achieving":[108],"text].":[117],"Furthermore,":[118],"2,":[126],"constraint,":[147],"there":[148],"function":[162],"an":[164],"respectively,":[180]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}