{"id":"https://openalex.org/W4403366541","doi":"https://doi.org/10.1007/s10878-024-01214-x","title":"New approximations for monotone submodular maximization with knapsack constraint","display_name":"New approximations for monotone submodular maximization with knapsack constraint","publication_year":2024,"publication_date":"2024-10-13","ids":{"openalex":"https://openalex.org/W4403366541","doi":"https://doi.org/10.1007/s10878-024-01214-x"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-024-01214-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10878-024-01214-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10878-024-01214-x.pdf","source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10878-024-01214-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055401614","display_name":"Hongmin W. Du","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hongmin W. Du","raw_affiliation_strings":["Accounting and Information Systems Department, Rutgers University, Piscataway, NJ, 08854, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Accounting and Information Systems Department, Rutgers University, Piscataway, NJ, 08854, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100609612","display_name":"Xiang Li","orcid":"https://orcid.org/0000-0002-7761-6212"},"institutions":[{"id":"https://openalex.org/I16269868","display_name":"Santa Clara University","ror":"https://ror.org/03ypqe447","country_code":"US","type":"education","lineage":["https://openalex.org/I16269868"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xiang Li","raw_affiliation_strings":["Department of Computer Science and Engineering, Santa Clara University, Santa Clara, CA, 95053, USA"],"raw_orcid":"https://orcid.org/0000-0002-7761-6212","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Santa Clara University, Santa Clara, CA, 95053, USA","institution_ids":["https://openalex.org/I16269868"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112878549","display_name":"Guanghua Wang","orcid":"https://orcid.org/0000-0003-4737-8126"},"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":"Guanghua Wang","raw_affiliation_strings":["Department of Computer Science, University of Texas at Dallas, Richardson, TX75080, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Texas at Dallas, Richardson, TX75080, USA","institution_ids":["https://openalex.org/I162577319"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100609612"],"corresponding_institution_ids":["https://openalex.org/I16269868"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2086997,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"48","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"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":0.9997000098228455,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T12176","display_name":"Optimization and Packing Problems","score":0.9805999994277954,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"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":0.8636652231216431},{"id":"https://openalex.org/keywords/knapsack-problem","display_name":"Knapsack problem","score":0.8419880867004395},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.800997257232666},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6553853154182434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6464588642120361},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.589170515537262},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.4645276963710785},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4615824818611145},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4513194262981415},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.379765123128891},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12399697303771973}],"concepts":[{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.8636652231216431},{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.8419880867004395},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.800997257232666},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6553853154182434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6464588642120361},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.589170515537262},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.4645276963710785},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4615824818611145},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4513194262981415},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.379765123128891},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12399697303771973},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10878-024-01214-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10878-024-01214-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10878-024-01214-x.pdf","source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","raw_type":"journal-article"},{"id":"pmh:oai:scholarcommons.scu.edu:cseng-1079","is_oa":true,"landing_page_url":"https://scholarcommons.scu.edu/cseng/80","pdf_url":null,"source":{"id":"https://openalex.org/S4377196452","display_name":"Scholar Commons (Santa Clara University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I16269868","host_organization_name":"Santa Clara University","host_organization_lineage":["https://openalex.org/I16269868"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Science and Engineering","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:jcomop:v:48:y:2024:i:4:d:10.1007_s10878-024-01214-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-024-01214-x","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s10878-024-01214-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10878-024-01214-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10878-024-01214-x.pdf","source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3647902547","display_name":null,"funder_award_id":"1948550","funder_id":"https://openalex.org/F4320332169","funder_display_name":"Directorate for Computer and Information Science and Engineering"}],"funders":[{"id":"https://openalex.org/F4320311294","display_name":"Santa Clara University","ror":"https://ror.org/03ypqe447"},{"id":"https://openalex.org/F4320332169","display_name":"Directorate for Computer and Information Science and Engineering","ror":"https://ror.org/025kzpk63"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403366541.pdf","grobid_xml":"https://content.openalex.org/works/W4403366541.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W2033885045","https://openalex.org/W2141403143","https://openalex.org/W2143996311","https://openalex.org/W2494689244","https://openalex.org/W2924100251","https://openalex.org/W2947629340","https://openalex.org/W2963913979","https://openalex.org/W4297092973"],"related_works":["https://openalex.org/W241127407","https://openalex.org/W2381035939","https://openalex.org/W2468477307","https://openalex.org/W2910645127","https://openalex.org/W2923536170","https://openalex.org/W2896347948","https://openalex.org/W4302557420","https://openalex.org/W2950500962","https://openalex.org/W2915041254","https://openalex.org/W3048061938"],"abstract_inverted_index":{"Abstract":[0],"Given":[1],"a":[2,8],"monotone":[3],"submodular":[4],"set":[5],"function":[6],"with":[7,20,157,197],"knapsack":[9],"constraint,":[10],"its":[11],"maximization":[12],"problem":[13],"has":[14],"two":[15],"types":[16],"of":[17],"approximation":[18],"algorithms":[19],"running":[21,53,87,158,198],"time":[22,54,88,199],"$$O(n^2)$$":[23,89,159],"<mml:math":[24,38,56,75,90,109,132,160,176,201],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[25,39,57,76,91,110,133,161,177,202],"<mml:mrow>":[26,40,58,77,92,111,134,162,178,185,203],"<mml:mi>O</mml:mi>":[27,41,59,93,163,204],"<mml:mo>(</mml:mo>":[28,42,60,94,112,135,164,205],"<mml:msup>":[29,43,61,95,140,165,183,206],"<mml:mi>n</mml:mi>":[30,44,62,96,166,207],"<mml:mn>2</mml:mn>":[31,97,120,142,146,167,186],"</mml:msup>":[32,46,64,98,143,168,190,209],"<mml:mo>)</mml:mo>":[33,47,65,99,118,144,169,210],"</mml:mrow>":[34,48,66,83,100,121,147,170,189,191,211],"</mml:math>":[35,49,67,84,101,122,148,171,192,212],"and":[36,123,172,194,213],"$$O(n^5)$$":[37,55],"<mml:mn>5</mml:mn>":[45,63],",":[50,68,102,193],"respectively.":[51],"With":[52,86],"the":[69,103],"best":[70],"performance":[71,105,173,214],"ratio":[72,106,174,215],"is":[73,107,127],"$$1-1/e$$":[74],"<mml:mn>1</mml:mn>":[78,80,113,115,136,138,179,181],"<mml:mo>-</mml:mo>":[79,114,137,180],"<mml:mo>/</mml:mo>":[81,116,119,139,145,182,187],"<mml:mi>e</mml:mi>":[82,117,141,184],".":[85],"well-known":[104],"$$(1-1/e)/2$$":[108],"an":[124,155,195],"improved":[125],"one":[126],"claimed":[128],"to":[129],"be":[130],"$$(1-1/e^2)/2$$":[131],"recently.":[149],"In":[150],"this":[151],"paper,":[152],"we":[153],"design":[154],"algorithm":[156,196],"$$1-1/e^{2/3}$$":[175],"<mml:mn>3</mml:mn>":[188,208],"$$O(n^3)$$":[200],"1/2.":[216]},"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
