{"id":"https://openalex.org/W3033343386","doi":"https://doi.org/10.1142/s1793830920500627","title":"Independent strong weak domination: A mathematical programming approach","display_name":"Independent strong weak domination: A mathematical programming approach","publication_year":2020,"publication_date":"2020-06-04","ids":{"openalex":"https://openalex.org/W3033343386","doi":"https://doi.org/10.1142/s1793830920500627","mag":"3033343386"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830920500627","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500627","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5001255120","display_name":"Murat Er\u015fen Berberler","orcid":"https://orcid.org/0000-0002-9227-2040"},"institutions":[{"id":"https://openalex.org/I193615760","display_name":"Dokuz Eyl\u00fcl University","ror":"https://ror.org/00dbd8b73","country_code":"TR","type":"education","lineage":["https://openalex.org/I193615760"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Murat Er\u015fen Berberler","raw_affiliation_strings":["Faculty of Science, Department of Computer Science, Dokuz Eylul University, 35160, Izmir, Turkey"],"affiliations":[{"raw_affiliation_string":"Faculty of Science, Department of Computer Science, Dokuz Eylul University, 35160, Izmir, Turkey","institution_ids":["https://openalex.org/I193615760"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056318001","display_name":"Onur U\u011furlu","orcid":"https://orcid.org/0000-0003-2743-5939"},"institutions":[{"id":"https://openalex.org/I4387152504","display_name":"Bak\u0131r\u00e7ay \u00dcniversitesi","ror":"https://ror.org/017v96566","country_code":null,"type":"education","lineage":["https://openalex.org/I4387152504"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Onur U\u011furlu","raw_affiliation_strings":["Faculty of Engineering and Architecture, Department of Fundamental Sciences, Bakircay University, 35100, Izmir, Turkey"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering and Architecture, Department of Fundamental Sciences, Bakircay University, 35100, Izmir, Turkey","institution_ids":["https://openalex.org/I4387152504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066245993","display_name":"Zeynep Ni\u0307han Berberler","orcid":"https://orcid.org/0000-0001-9179-3648"},"institutions":[{"id":"https://openalex.org/I193615760","display_name":"Dokuz Eyl\u00fcl University","ror":"https://ror.org/00dbd8b73","country_code":"TR","type":"education","lineage":["https://openalex.org/I193615760"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Zeynep Nihan Berberler","raw_affiliation_strings":["Faculty of Science, Department of Computer Science, Dokuz Eylul University, 35160, Izmir, Turkey"],"affiliations":[{"raw_affiliation_string":"Faculty of Science, Department of Computer Science, Dokuz Eylul University, 35160, Izmir, Turkey","institution_ids":["https://openalex.org/I193615760"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066245993"],"corresponding_institution_ids":["https://openalex.org/I193615760"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09169675,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"05","first_page":"2050062","last_page":"2050062"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9947999715805054,"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":0.9947999715805054,"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/T12288","display_name":"Optimization and Search Problems","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9916999936103821,"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/vertex","display_name":"Vertex (graph theory)","score":0.7137067914009094},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.6783612966537476},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6751748323440552},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6269440054893494},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.5682873725891113},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.44438838958740234},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4160376489162445},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3529818058013916},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10526421666145325}],"concepts":[{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7137067914009094},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.6783612966537476},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6751748323440552},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6269440054893494},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.5682873725891113},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.44438838958740234},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4160376489162445},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3529818058013916},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10526421666145325},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830920500627","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500627","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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":0.5}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1493071618","https://openalex.org/W1581552469","https://openalex.org/W2016023497","https://openalex.org/W2019262465","https://openalex.org/W2028949210","https://openalex.org/W2044921907","https://openalex.org/W2059490118","https://openalex.org/W2067267220","https://openalex.org/W2151141449","https://openalex.org/W2157344936"],"related_works":["https://openalex.org/W2794522194","https://openalex.org/W2963404550","https://openalex.org/W30750922","https://openalex.org/W2033190383","https://openalex.org/W4235356280","https://openalex.org/W4299822763","https://openalex.org/W2339280209","https://openalex.org/W2763279932","https://openalex.org/W2612157706","https://openalex.org/W4283726592"],"abstract_inverted_index":{"Let":[0,47],"[Formula:":[1,9,22,33,48,52,57,61,66,71,76,81,85,95,102,115,124,139,153,163,194],"see":[2,10,23,34,49,53,58,62,67,72,77,82,86,96,103,116,125,140,154,164,195],"text]":[3,11,24,54,59,63,68,73,83,87,97,104,126,141,155,165],"be":[4],"a":[5,15,44,89,132,216,265],"graph.":[6,217],"A":[7,79,137],"subset":[8,80],"of":[12,32,43,84,94,123,131,152,162,179,193,207,215,237,260,268],"vertices":[13,151],"is":[14,25,39,88,105,127,142,175,241],"dominating":[16,45,92,135,182,186,190],"set":[17,93,138,147,183],"if":[18,69,98,148],"every":[19,99],"vertex":[20,31,100,113],"in":[21,101,114],"adjacent":[26],"to":[27],"at":[28,110],"least":[29,111],"one":[30,112],"text].":[35,50,78,117,196],"The":[36,118,158],"domination":[37,121,160,168,172,209,214],"number":[38,122,161],"the":[40,128,176,205,224,227,235,242,248,255],"minimum":[41,129,177],"cardinality":[42,130],"set.":[46,136],"Then,":[51],"strongly":[55,106],"dominates":[56,65],"and":[60,74,210,229,250],"weakly":[64],"(i)":[70],"(ii)":[75],"strong":[90,119,133,167,185,212],"(weak)":[91,120,134,213],"(weakly)":[107],"dominated":[108],"by":[109,223],"an":[143,180],"independent":[144,159,170,181,188,208,211],"(or":[145],"stable)":[146],"no":[149],"two":[150],"are":[156,202,221,232,258],"adjacent.":[157],"(independent":[166,184],"number,":[169,173],"weak":[171,189],"respectively)":[174,192],"size":[178],"set,":[187,191],"In":[197],"this":[198,240],"paper,":[199],"mathematical":[200,244],"models":[201,257],"developed":[203],"for":[204,247],"problems":[206,220],"Then":[218],"test":[219],"solved":[222],"GAMS":[225],"software,":[226],"optima":[228],"execution":[230],"times":[231],"implemented.":[233],"To":[234],"best":[236],"our":[238],"knowledge,":[239],"first":[243],"programming":[245],"formulations":[246],"problems,":[249],"computational":[251],"results":[252],"show":[253],"that":[254],"proposed":[256],"capable":[259],"finding":[261],"optimal":[262],"solutions":[263],"within":[264],"reasonable":[266],"amount":[267],"time.":[269]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
