{"id":"https://openalex.org/W2073337839","doi":"https://doi.org/10.1137/130936038","title":"Oracle Tractability of Skew Bisubmodular Functions","display_name":"Oracle Tractability of Skew Bisubmodular Functions","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2073337839","doi":"https://doi.org/10.1137/130936038","mag":"2073337839"},"language":"en","primary_location":{"id":"doi:10.1137/130936038","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130936038","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://durham-repository.worktribe.com/output/1452220","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025329493","display_name":"Anna Huber","orcid":"https://orcid.org/0000-0002-3667-095X"},"institutions":[{"id":"https://openalex.org/I22128151","display_name":"University of Derby","ror":"https://ror.org/02yhrrk59","country_code":"GB","type":"education","lineage":["https://openalex.org/I22128151"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Anna Huber","raw_affiliation_strings":["University of Derby"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Derby","institution_ids":["https://openalex.org/I22128151"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003558662","display_name":"Andrei Krokhin","orcid":"https://orcid.org/0000-0003-4373-8227"},"institutions":[{"id":"https://openalex.org/I190082696","display_name":"Durham University","ror":"https://ror.org/01v29qb04","country_code":"GB","type":"education","lineage":["https://openalex.org/I190082696"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andrei Krokhin","raw_affiliation_strings":["Durham University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Durham University","institution_ids":["https://openalex.org/I190082696"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4437,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.89175006,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"28","issue":"4","first_page":"1828","last_page":"1837"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9987999796867371,"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":0.9987999796867371,"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":0.9936000108718872,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.8893839120864868},{"id":"https://openalex.org/keywords/submodular-set-function","display_name":"Submodular set function","score":0.7918670177459717},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.764877200126648},{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.749343991279602},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7105639576911926},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.47199419140815735},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4597184658050537},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44112348556518555},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40009841322898865},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39869314432144165},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26013630628585815},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.05206736922264099}],"concepts":[{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.8893839120864868},{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.7918670177459717},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.764877200126648},{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.749343991279602},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7105639576911926},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.47199419140815735},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4597184658050537},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44112348556518555},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40009841322898865},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39869314432144165},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26013630628585815},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05206736922264099},{"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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},{"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:10.1137/130936038","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130936038","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:dro.dur.ac.uk.OAI2:13639","is_oa":false,"landing_page_url":"http://dro.dur.ac.uk/13639/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"SIAM journal on discrete mathematics, 2014, Vol.28(4), pp.1828-1837 [Peer Reviewed Journal]","raw_type":"Article"},{"id":"pmh:oai:durham-repository.worktribe.com:1452220","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/1452220","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"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":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:durham-repository.worktribe.com:1452220","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/1452220","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"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":"","raw_type":"Journal Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6618579952","display_name":null,"funder_award_id":"EP/H000666/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1498671329","https://openalex.org/W1563601717","https://openalex.org/W1576820654","https://openalex.org/W1973005928","https://openalex.org/W1979962887","https://openalex.org/W1983818015","https://openalex.org/W2012329067","https://openalex.org/W2022245976","https://openalex.org/W2066894529","https://openalex.org/W2132104546","https://openalex.org/W2138514146","https://openalex.org/W2161302568","https://openalex.org/W2988480584"],"related_works":["https://openalex.org/W1595919516","https://openalex.org/W2945022594","https://openalex.org/W2966531942","https://openalex.org/W2194604332","https://openalex.org/W4379619607","https://openalex.org/W4386185001","https://openalex.org/W4236048596","https://openalex.org/W2922450688","https://openalex.org/W1989453388","https://openalex.org/W3141561286"],"abstract_inverted_index":{"In":[0],"this":[1,39],"paper":[2],"we":[3,27],"consider":[4],"skew":[5,23,44],"bisubmodular":[6,24,45],"functions":[7,46],"as":[8],"recently":[9],"introduced":[10],"by":[11,48],"the":[12,34],"authors":[13],"and":[14],"Powell.":[15],"We":[16,37],"construct":[17],"a":[18,22],"convex":[19],"extension":[20,30,40],"of":[21],"function":[25],"which":[26],"call":[28],"Lov\u00e1sz":[29],"in":[31,54],"correspondence":[32],"to":[33,41],"submodular":[35],"case.":[36],"use":[38],"show":[42],"that":[43],"given":[47],"an":[49],"oracle":[50],"can":[51],"be":[52],"minimized":[53],"polynomial":[55],"time.":[56]},"counts_by_year":[{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}