{"id":"https://openalex.org/W1970740332","doi":"https://doi.org/10.1007/s10732-011-9171-5","title":"On characterization of maximal independent sets via quadratic optimization","display_name":"On characterization of maximal independent sets via quadratic optimization","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W1970740332","doi":"https://doi.org/10.1007/s10732-011-9171-5","mag":"1970740332"},"language":"en","primary_location":{"id":"doi:10.1007/s10732-011-9171-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10732-011-9171-5","pdf_url":null,"source":{"id":"https://openalex.org/S111418578","display_name":"Journal of Heuristics","issn_l":"1381-1231","issn":["1381-1231","1572-9397"],"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 Heuristics","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/A5051343300","display_name":"Foad Mahdavi Pajouh","orcid":"https://orcid.org/0000-0001-9009-9363"},"institutions":[{"id":"https://openalex.org/I115475287","display_name":"Oklahoma State University","ror":"https://ror.org/01g9vbr38","country_code":"US","type":"education","lineage":["https://openalex.org/I115475287"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Foad Mahdavi\u00a0Pajouh","raw_affiliation_strings":["School of Industrial Engineering & Management, Oklahoma State University, Stillwater, OK, 74078, USA","School of Industrial Engineering & Management, Oklahoma State University, Stillwater , USA 74078#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Industrial Engineering & Management, Oklahoma State University, Stillwater, OK, 74078, USA","institution_ids":["https://openalex.org/I115475287"]},{"raw_affiliation_string":"School of Industrial Engineering & Management, Oklahoma State University, Stillwater , USA 74078#TAB#","institution_ids":["https://openalex.org/I115475287"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054898869","display_name":"Balabhaskar Balasundaram","orcid":"https://orcid.org/0000-0002-3490-4257"},"institutions":[{"id":"https://openalex.org/I115475287","display_name":"Oklahoma State University","ror":"https://ror.org/01g9vbr38","country_code":"US","type":"education","lineage":["https://openalex.org/I115475287"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Balabhaskar Balasundaram","raw_affiliation_strings":["School of Industrial Engineering & Management, Oklahoma State University, Stillwater, OK, 74078, USA","School of Industrial Engineering & Management, Oklahoma State University, Stillwater , USA 74078#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Industrial Engineering & Management, Oklahoma State University, Stillwater, OK, 74078, USA","institution_ids":["https://openalex.org/I115475287"]},{"raw_affiliation_string":"School of Industrial Engineering & Management, Oklahoma State University, Stillwater , USA 74078#TAB#","institution_ids":["https://openalex.org/I115475287"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057562290","display_name":"Oleg A. Prokopyev","orcid":"https://orcid.org/0000-0003-2888-8630"},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Oleg A. Prokopyev","raw_affiliation_strings":["Department of Industrial Engineering, University of Pittsburgh, 1048 Benedum Hall, Pittsburgh, PA, 15261, USA","Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, USA 15261"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, University of Pittsburgh, 1048 Benedum Hall, Pittsburgh, PA, 15261, USA","institution_ids":["https://openalex.org/I170201317"]},{"raw_affiliation_string":"Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, USA 15261","institution_ids":["https://openalex.org/I170201317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054898869"],"corresponding_institution_ids":["https://openalex.org/I115475287"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.3051,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.78883602,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"19","issue":"4","first_page":"629","last_page":"644"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9987000226974487,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9987000226974487,"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/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/T12176","display_name":"Optimization and Packing Problems","score":0.9962000250816345,"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/maxima","display_name":"Maxima","score":0.8733798265457153},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.7227955460548401},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6982653141021729},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.689054548740387},{"id":"https://openalex.org/keywords/local-search","display_name":"Local search (optimization)","score":0.6097917556762695},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5771809816360474},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49422624707221985},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.49408796429634094},{"id":"https://openalex.org/keywords/quadratic-unconstrained-binary-optimization","display_name":"Quadratic unconstrained binary optimization","score":0.46721330285072327},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4641728401184082},{"id":"https://openalex.org/keywords/local-optimum","display_name":"Local optimum","score":0.4581214189529419},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.44664084911346436},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3606908917427063},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3546179533004761},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32102251052856445},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18751856684684753},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09048452973365784}],"concepts":[{"id":"https://openalex.org/C91528185","wikidata":"https://www.wikidata.org/wiki/Q520952","display_name":"Maxima","level":3,"score":0.8733798265457153},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.7227955460548401},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6982653141021729},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.689054548740387},{"id":"https://openalex.org/C135320971","wikidata":"https://www.wikidata.org/wiki/Q1868524","display_name":"Local search (optimization)","level":2,"score":0.6097917556762695},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5771809816360474},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49422624707221985},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49408796429634094},{"id":"https://openalex.org/C177179195","wikidata":"https://www.wikidata.org/wiki/Q7268372","display_name":"Quadratic unconstrained binary optimization","level":4,"score":0.46721330285072327},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4641728401184082},{"id":"https://openalex.org/C141934464","wikidata":"https://www.wikidata.org/wiki/Q3305386","display_name":"Local optimum","level":2,"score":0.4581214189529419},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.44664084911346436},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3606908917427063},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3546179533004761},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32102251052856445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18751856684684753},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09048452973365784},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"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/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"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/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","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/C52119013","wikidata":"https://www.wikidata.org/wiki/Q50637","display_name":"Art history","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/C554144382","wikidata":"https://www.wikidata.org/wiki/Q213156","display_name":"Performance art","level":2,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10732-011-9171-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10732-011-9171-5","pdf_url":null,"source":{"id":"https://openalex.org/S111418578","display_name":"Journal of Heuristics","issn_l":"1381-1231","issn":["1381-1231","1572-9397"],"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 Heuristics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1501516191","https://openalex.org/W1546734293","https://openalex.org/W1967959018","https://openalex.org/W1976358752","https://openalex.org/W1987752805","https://openalex.org/W1997388944","https://openalex.org/W2003648292","https://openalex.org/W2010334716","https://openalex.org/W2011039300","https://openalex.org/W2014381425","https://openalex.org/W2018984236","https://openalex.org/W2027470314","https://openalex.org/W2030607944","https://openalex.org/W2031978868","https://openalex.org/W2050865875","https://openalex.org/W2055491494","https://openalex.org/W2061552033","https://openalex.org/W2068871408","https://openalex.org/W2069657950","https://openalex.org/W2074078071","https://openalex.org/W2078979423","https://openalex.org/W2082603400","https://openalex.org/W2090382945","https://openalex.org/W2109386785","https://openalex.org/W2120889791","https://openalex.org/W2128794476","https://openalex.org/W2171103562","https://openalex.org/W2339500526","https://openalex.org/W2509017166","https://openalex.org/W2798588639","https://openalex.org/W4211250195","https://openalex.org/W4212899374","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2123829500","https://openalex.org/W2305572622","https://openalex.org/W4283765137","https://openalex.org/W4317496694","https://openalex.org/W3174749984","https://openalex.org/W1489180744","https://openalex.org/W2887485518","https://openalex.org/W1655912143","https://openalex.org/W2560221187","https://openalex.org/W4287021660"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
