{"id":"https://openalex.org/W4381282467","doi":"https://doi.org/10.1007/s10878-023-01044-3","title":"An LP-based characterization of solvable QAP instances with chess-board and graded structures","display_name":"An LP-based characterization of solvable QAP instances with chess-board and graded structures","publication_year":2023,"publication_date":"2023-05-30","ids":{"openalex":"https://openalex.org/W4381282467","doi":"https://doi.org/10.1007/s10878-023-01044-3"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-023-01044-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-023-01044-3","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021357427","display_name":"Lucas A. Waddell","orcid":"https://orcid.org/0000-0002-1781-4049"},"institutions":[{"id":"https://openalex.org/I131221577","display_name":"Bucknell University","ror":"https://ror.org/00fc1qt65","country_code":"US","type":"education","lineage":["https://openalex.org/I131221577"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lucas A. Waddell","raw_affiliation_strings":["Bucknell University, Lewisburg, PA, 17837, USA"],"raw_orcid":"https://orcid.org/0000-0002-1781-4049","affiliations":[{"raw_affiliation_string":"Bucknell University, Lewisburg, PA, 17837, USA","institution_ids":["https://openalex.org/I131221577"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111704554","display_name":"Jerry L. Phillips","orcid":null},"institutions":[{"id":"https://openalex.org/I189350637","display_name":"Francis Marion University","ror":"https://ror.org/00pg98t08","country_code":"US","type":"education","lineage":["https://openalex.org/I189350637"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jerry L. Phillips","raw_affiliation_strings":["Francis Marion University, Florence, SC, 29502, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Francis Marion University, Florence, SC, 29502, USA","institution_ids":["https://openalex.org/I189350637"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101629406","display_name":"Tianzhu Liu","orcid":"https://orcid.org/0000-0001-6903-9614"},"institutions":[{"id":"https://openalex.org/I131221577","display_name":"Bucknell University","ror":"https://ror.org/00fc1qt65","country_code":"US","type":"education","lineage":["https://openalex.org/I131221577"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tianzhu Liu","raw_affiliation_strings":["Bucknell University, Lewisburg, PA, 17837, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bucknell University, Lewisburg, PA, 17837, USA","institution_ids":["https://openalex.org/I131221577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084758457","display_name":"Swarup Dhar","orcid":"https://orcid.org/0000-0002-6482-5816"},"institutions":[{"id":"https://openalex.org/I131221577","display_name":"Bucknell University","ror":"https://ror.org/00fc1qt65","country_code":"US","type":"education","lineage":["https://openalex.org/I131221577"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Swarup Dhar","raw_affiliation_strings":["Bucknell University, Lewisburg, PA, 17837, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bucknell University, Lewisburg, PA, 17837, USA","institution_ids":["https://openalex.org/I131221577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5021357427"],"corresponding_institution_ids":["https://openalex.org/I131221577"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.1875,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54935697,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"45","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.996999979019165,"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"}},{"id":"https://openalex.org/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9957000017166138,"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/theory-of-computation","display_name":"Theory of computation","score":0.6680587530136108},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.6541163921356201},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6476365327835083},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.6433577537536621},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6283494830131531},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5162441730499268},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5100744366645813},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4743151366710663},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.46848949790000916},{"id":"https://openalex.org/keywords/quadratic-assignment-problem","display_name":"Quadratic assignment problem","score":0.46384197473526},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4336547255516052},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4128116965293884},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3742203712463379},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35434144735336304},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2814582586288452}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6680587530136108},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.6541163921356201},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6476365327835083},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.6433577537536621},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6283494830131531},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5162441730499268},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5100744366645813},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4743151366710663},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.46848949790000916},{"id":"https://openalex.org/C98036226","wikidata":"https://www.wikidata.org/wiki/Q7268356","display_name":"Quadratic assignment problem","level":3,"score":0.46384197473526},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4336547255516052},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4128116965293884},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3742203712463379},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35434144735336304},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2814582586288452},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","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},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10878-023-01044-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-023-01044-3","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.bucknell.edu:fac_journ-3169","is_oa":false,"landing_page_url":"https://digitalcommons.bucknell.edu/fac_journ/2093","pdf_url":null,"source":{"id":"https://openalex.org/S4377196650","display_name":"Bucknell Digital Commons (Bucknell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I131221577","host_organization_name":"Bucknell University","host_organization_lineage":["https://openalex.org/I131221577"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Journal Articles","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:jcomop:v:45:y:2023:i:5:d:10.1007_s10878-023-01044-3","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-023-01044-3","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":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G419676889","display_name":null,"funder_award_id":"N00014-20-1-2072","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W50270175","https://openalex.org/W197491803","https://openalex.org/W1964265873","https://openalex.org/W1964357023","https://openalex.org/W1967778369","https://openalex.org/W1977214927","https://openalex.org/W1980190773","https://openalex.org/W1981081845","https://openalex.org/W2004229681","https://openalex.org/W2013603106","https://openalex.org/W2015127564","https://openalex.org/W2034432217","https://openalex.org/W2049143039","https://openalex.org/W2057595593","https://openalex.org/W2061945583","https://openalex.org/W2063790063","https://openalex.org/W2076535438","https://openalex.org/W2086953038","https://openalex.org/W2096684255","https://openalex.org/W2096919221","https://openalex.org/W2105016507","https://openalex.org/W2120583150","https://openalex.org/W2128971018","https://openalex.org/W2165567889","https://openalex.org/W2169867839","https://openalex.org/W2170954130","https://openalex.org/W2171280220","https://openalex.org/W2401300680","https://openalex.org/W2473874545","https://openalex.org/W2746585819","https://openalex.org/W3121235808","https://openalex.org/W4230109265","https://openalex.org/W4253864964","https://openalex.org/W4292175028"],"related_works":["https://openalex.org/W2347760188","https://openalex.org/W2179081936","https://openalex.org/W2003624199","https://openalex.org/W2060252799","https://openalex.org/W181098894","https://openalex.org/W2474680198","https://openalex.org/W1596350596","https://openalex.org/W3112462120","https://openalex.org/W2049828308","https://openalex.org/W2597689725"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}