{"id":"https://openalex.org/W2965581393","doi":"https://doi.org/10.1007/s11590-019-01460-7","title":"Optimal quadratic reformulations of fourth degree Pseudo-Boolean functions","display_name":"Optimal quadratic reformulations of fourth degree Pseudo-Boolean functions","publication_year":2019,"publication_date":"2019-08-03","ids":{"openalex":"https://openalex.org/W2965581393","doi":"https://doi.org/10.1007/s11590-019-01460-7","mag":"2965581393"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-019-01460-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-019-01460-7","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","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/A5015358635","display_name":"Amit Verma","orcid":"https://orcid.org/0000-0003-0187-5514"},"institutions":[{"id":"https://openalex.org/I63855395","display_name":"Missouri Western State University","ror":"https://ror.org/03vn2ff22","country_code":"US","type":"education","lineage":["https://openalex.org/I63855395"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amit Verma","raw_affiliation_strings":["Craig School of Business, Missouri Western State University, Saint Joseph, MO, 64507, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Craig School of Business, Missouri Western State University, Saint Joseph, MO, 64507, USA","institution_ids":["https://openalex.org/I63855395"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071012704","display_name":"Mark Lewis","orcid":"https://orcid.org/0000-0002-8506-7380"},"institutions":[{"id":"https://openalex.org/I63855395","display_name":"Missouri Western State University","ror":"https://ror.org/03vn2ff22","country_code":"US","type":"education","lineage":["https://openalex.org/I63855395"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark Lewis","raw_affiliation_strings":["Craig School of Business, Missouri Western State University, Saint Joseph, MO, 64507, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Craig School of Business, Missouri Western State University, Saint Joseph, MO, 64507, USA","institution_ids":["https://openalex.org/I63855395"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.4461,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.86768253,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"14","issue":"6","first_page":"1557","last_page":"1569"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9818999767303467,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6743596792221069},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.6262866854667664},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6020718812942505},{"id":"https://openalex.org/keywords/quadratic-unconstrained-binary-optimization","display_name":"Quadratic unconstrained binary optimization","score":0.5326366424560547},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.523855447769165},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5218542814254761},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.47088202834129333},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.4641472101211548},{"id":"https://openalex.org/keywords/boolean-data-type","display_name":"Boolean data type","score":0.45462870597839355},{"id":"https://openalex.org/keywords/maximum-satisfiability-problem","display_name":"Maximum satisfiability problem","score":0.4428294599056244},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.42846715450286865},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.346238374710083},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.17222988605499268},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.10749298334121704}],"concepts":[{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6743596792221069},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6262866854667664},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6020718812942505},{"id":"https://openalex.org/C177179195","wikidata":"https://www.wikidata.org/wiki/Q7268372","display_name":"Quadratic unconstrained binary optimization","level":4,"score":0.5326366424560547},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.523855447769165},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5218542814254761},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.47088202834129333},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.4641472101211548},{"id":"https://openalex.org/C7342684","wikidata":"https://www.wikidata.org/wiki/Q520777","display_name":"Boolean data type","level":2,"score":0.45462870597839355},{"id":"https://openalex.org/C111797529","wikidata":"https://www.wikidata.org/wiki/Q17080584","display_name":"Maximum satisfiability problem","level":3,"score":0.4428294599056244},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.42846715450286865},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.346238374710083},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.17222988605499268},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.10749298334121704},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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":1,"locations":[{"id":"doi:10.1007/s11590-019-01460-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-019-01460-7","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7900000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W203529317","https://openalex.org/W744241777","https://openalex.org/W966413371","https://openalex.org/W1774926842","https://openalex.org/W1980985059","https://openalex.org/W2006353394","https://openalex.org/W2012882037","https://openalex.org/W2025896865","https://openalex.org/W2032508248","https://openalex.org/W2039122980","https://openalex.org/W2066253573","https://openalex.org/W2067612530","https://openalex.org/W2074078071","https://openalex.org/W2099312961","https://openalex.org/W2101995088","https://openalex.org/W2124558257","https://openalex.org/W2135165032","https://openalex.org/W2136414169","https://openalex.org/W2152362848","https://openalex.org/W2158984240","https://openalex.org/W2223796456","https://openalex.org/W2617559567","https://openalex.org/W2729259575","https://openalex.org/W2900877887","https://openalex.org/W2904950256","https://openalex.org/W2917807404","https://openalex.org/W2938689170","https://openalex.org/W2944752472","https://openalex.org/W2949762446","https://openalex.org/W3123419157","https://openalex.org/W6629212183","https://openalex.org/W6856799529"],"related_works":["https://openalex.org/W4288088012","https://openalex.org/W2997085175","https://openalex.org/W2982406647","https://openalex.org/W2142369290","https://openalex.org/W2998393308","https://openalex.org/W4287907806","https://openalex.org/W3028662852","https://openalex.org/W9108535","https://openalex.org/W2400468894","https://openalex.org/W4381325711"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
