{"id":"https://openalex.org/W2122236091","doi":"https://doi.org/10.1137/120891502","title":"Algorithms for symmetric submodular function minimization under hereditary constraints and generalizations","display_name":"Algorithms for symmetric submodular function minimization under hereditary constraints and generalizations","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2122236091","doi":"https://doi.org/10.1137/120891502","mag":"2122236091"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1007.2140","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1007.2140","pdf_url":"https://arxiv.org/pdf/1007.2140","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"},"type":"preprint","indexed_in":["arxiv"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1007.2140","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Soto San Mart\u00edn, Jos\u00e9","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Soto San Mart\u00edn, Jos\u00e9","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.8931000232696533,"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":0.8931000232696533,"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":0.07419999688863754,"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":0.005900000222027302,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/submodular-set-function","display_name":"Submodular set function","score":0.9348999857902527},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.8027999997138977},{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.7663000226020813},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5406000018119812},{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.5374000072479248},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.49880000948905945},{"id":"https://openalex.org/keywords/set-function","display_name":"Set function","score":0.4318000078201294},{"id":"https://openalex.org/keywords/knapsack-problem","display_name":"Knapsack problem","score":0.4018000066280365}],"concepts":[{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.9348999857902527},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.8027999997138977},{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.7663000226020813},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7314000129699707},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5572999715805054},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5406000018119812},{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.5374000072479248},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.49880000948905945},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.444599986076355},{"id":"https://openalex.org/C15312841","wikidata":"https://www.wikidata.org/wiki/Q1657198","display_name":"Set function","level":3,"score":0.4318000078201294},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4228000044822693},{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.4018000066280365},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.390500009059906},{"id":"https://openalex.org/C22425182","wikidata":"https://www.wikidata.org/wiki/Q6787906","display_name":"Matroid partitioning","level":4,"score":0.3652999997138977},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.3433000147342682},{"id":"https://openalex.org/C124344645","wikidata":"https://www.wikidata.org/wiki/Q7979897","display_name":"Weighted matroid","level":5,"score":0.3125},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.30410000681877136},{"id":"https://openalex.org/C3018263672","wikidata":"https://www.wikidata.org/wiki/Q1296251","display_name":"Efficient algorithm","level":2,"score":0.29600000381469727},{"id":"https://openalex.org/C109751979","wikidata":"https://www.wikidata.org/wiki/Q998767","display_name":"Failover","level":2,"score":0.2913999855518341},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.28600001335144043},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.26330000162124634},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.2621999979019165},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.2590000033378601},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.2558000087738037}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:1007.2140","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1007.2140","pdf_url":"https://arxiv.org/pdf/1007.2140","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.751.4771","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.751.4771","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1007.2140.pdf","raw_type":"text"},{"id":"pmh:oai:repositorio.uchile.cl:2250/126292","is_oa":true,"landing_page_url":"https://repositorio.uchile.cl/handle/2250/126292","pdf_url":null,"source":{"id":"https://openalex.org/S4306481413","display_name":"Universidad de Chile","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Art\u00edculo de revista"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1007.2140","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1007.2140","pdf_url":"https://arxiv.org/pdf/1007.2140","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2,95],"efficient":[3],"algorithm":[4,46,91,96,132],"to":[5,51,80,94,102,134],"find":[6,103],"non-empty":[7],"minimizers":[8,108],"of":[9,17,42,60,68,97,109,117],"a":[10,29,32,35,70,75,110,115,136],"symmetric":[11,111,137],"submodular":[12,53,72,112,138],"function":[13,54,73,113],"over":[14,114],"any":[15,40],"family":[16],"sets":[18],"closed":[19],"under":[20,74],"inclusion.":[21],"This":[22],"for":[23],"example":[24],"includes":[25],"families":[26],"defined":[27],"by":[28],"cardinality":[30,59,76,118],"constraint,":[31,34,38],"knapsack":[33],"matroid":[36],"independence":[37],"or":[39],"combination":[41],"such":[43],"constraints.":[44],"Our":[45],"make":[47],"$O(n^3)$":[48,121],"oracle":[49,122],"calls":[50],"the":[52,58,61,66],"where":[55],"$n$":[56,119],"is":[57,78,92,128],"ground":[62],"set.":[63],"In":[64],"contrast,":[65],"problem":[67],"minimizing":[69],"general":[71],"constraint":[77],"known":[79],"be":[81],"inapproximable":[82],"within":[83],"$o(\\sqrt{n/\\log":[84],"n})$":[85],"(Svitkina":[86],"and":[87,99],"Fleischer":[88],"[2008]).":[89],"The":[90],"similar":[93],"Nagamochi":[98],"Ibaraki":[100],"[1998]":[101,133],"all":[104],"nontrivial":[105],"inclusionwise":[106],"minimal":[107],"set":[116],"using":[120],"calls.":[123],"Their":[124],"procedure":[125],"in":[126],"turn":[127],"based":[129],"on":[130],"Queyranne's":[131],"minimize":[135]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}