{"id":"https://openalex.org/W2173482757","doi":"https://doi.org/10.1007/s00453-015-0066-y","title":"Maximizing a Submodular Function with Viability Constraints","display_name":"Maximizing a Submodular Function with Viability Constraints","publication_year":2015,"publication_date":"2015-09-08","ids":{"openalex":"https://openalex.org/W2173482757","doi":"https://doi.org/10.1007/s00453-015-0066-y","mag":"2173482757"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-015-0066-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-015-0066-y","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1611.05753","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064606350","display_name":"Wolfgang Dvo\u0159\u00e1k","orcid":"https://orcid.org/0000-0002-2269-8193"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Wolfgang Dvo\u0159\u00e1k","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Informatik, Universit\u00e4t Wien, W\u00e4hringerstra\u00dfe 29, 1090, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Informatik, Universit\u00e4t Wien, W\u00e4hringerstra\u00dfe 29, 1090, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003641345","display_name":"Monika Henzinger","orcid":"https://orcid.org/0000-0002-5008-6530"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Monika Henzinger","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Informatik, Universit\u00e4t Wien, W\u00e4hringerstra\u00dfe 29, 1090, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Informatik, Universit\u00e4t Wien, W\u00e4hringerstra\u00dfe 29, 1090, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043667154","display_name":"David P. Williamson","orcid":"https://orcid.org/0000-0002-2884-0058"},"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":false,"raw_author_name":"David P. Williamson","raw_affiliation_strings":["School of Operations Research and Information Engineering, Cornell University, Ithaca, NY, 14853, USA"],"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":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064606350"],"corresponding_institution_ids":["https://openalex.org/I129774422"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.09204176,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"77","issue":"1","first_page":"152","last_page":"172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9965999722480774,"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":0.9965999722480774,"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":0.9697999954223633,"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":0.9646999835968018,"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":0.8939226865768433},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6838303804397583},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.6360893249511719},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6117532849311829},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5914462804794312},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5203409194946289},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4731239676475525},{"id":"https://openalex.org/keywords/phylogenetic-tree","display_name":"Phylogenetic tree","score":0.46245455741882324},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4566253423690796},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4367738366127014},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4216420650482178},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.41867369413375854},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4114099144935608},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23059049248695374},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.12007275223731995},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.074271559715271}],"concepts":[{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.8939226865768433},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6838303804397583},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.6360893249511719},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6117532849311829},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5914462804794312},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5203409194946289},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4731239676475525},{"id":"https://openalex.org/C193252679","wikidata":"https://www.wikidata.org/wiki/Q242125","display_name":"Phylogenetic tree","level":3,"score":0.46245455741882324},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4566253423690796},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4367738366127014},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4216420650482178},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.41867369413375854},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4114099144935608},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23059049248695374},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.12007275223731995},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.074271559715271},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00453-015-0066-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-015-0066-y","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1611.05753","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1611.05753","pdf_url":"https://arxiv.org/pdf/1611.05753","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1611.05753","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1611.05753","pdf_url":"https://arxiv.org/pdf/1611.05753","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1436342351","display_name":null,"funder_award_id":"340506","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1680189815","https://openalex.org/W1982363997","https://openalex.org/W1996315799","https://openalex.org/W2014292854","https://openalex.org/W2026338082","https://openalex.org/W2036647326","https://openalex.org/W2047460558","https://openalex.org/W2048986920","https://openalex.org/W2077016363","https://openalex.org/W2080379754","https://openalex.org/W2111728961","https://openalex.org/W2130419036","https://openalex.org/W2143996311","https://openalex.org/W2166655850","https://openalex.org/W2166704698","https://openalex.org/W2622604809","https://openalex.org/W2757107770","https://openalex.org/W2951482518","https://openalex.org/W3161056635","https://openalex.org/W4256240952"],"related_works":["https://openalex.org/W2923536170","https://openalex.org/W2950365512","https://openalex.org/W1608444752","https://openalex.org/W3204684126","https://openalex.org/W2062310236","https://openalex.org/W3013568067","https://openalex.org/W4299354108","https://openalex.org/W4313343266","https://openalex.org/W4299992882","https://openalex.org/W2949506010"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}
