{"id":"https://openalex.org/W2895840401","doi":"https://doi.org/10.1109/access.2018.2875499","title":"An Efficient Local Search Algorithm for the Minimum $k$ -Dominating Set Problem","display_name":"An Efficient Local Search Algorithm for the Minimum $k$ -Dominating Set Problem","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2895840401","doi":"https://doi.org/10.1109/access.2018.2875499","mag":"2895840401"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2875499","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2875499","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2018.2875499","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100760521","display_name":"Ruizhi Li","orcid":"https://orcid.org/0000-0003-2915-8242"},"institutions":[{"id":"https://openalex.org/I179324530","display_name":"Jilin University of Finance and Economics","ror":"https://ror.org/04az9eh24","country_code":"CN","type":"education","lineage":["https://openalex.org/I179324530"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ruizhi Li","raw_affiliation_strings":["Jilin University of Finance and Economics, Changchun, China"],"affiliations":[{"raw_affiliation_string":"Jilin University of Finance and Economics, Changchun, China","institution_ids":["https://openalex.org/I179324530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100338988","display_name":"Huan Liu","orcid":"https://orcid.org/0000-0002-6494-8584"},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huan Liu","raw_affiliation_strings":["Northeast Normal University, Changchun, China"],"affiliations":[{"raw_affiliation_string":"Northeast Normal University, Changchun, China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110830608","display_name":"Xiaoli Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoli Wu","raw_affiliation_strings":["Northeast Normal University, Changchun, China"],"affiliations":[{"raw_affiliation_string":"Northeast Normal University, Changchun, China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061762910","display_name":"Jun Wu","orcid":"https://orcid.org/0000-0002-5239-5126"},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Wu","raw_affiliation_strings":["Northeast Normal University, Changchun, China"],"affiliations":[{"raw_affiliation_string":"Northeast Normal University, Changchun, China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023555343","display_name":"Minghao Yin","orcid":"https://orcid.org/0000-0002-6226-2394"},"institutions":[{"id":"https://openalex.org/I179324530","display_name":"Jilin University of Finance and Economics","ror":"https://ror.org/04az9eh24","country_code":"CN","type":"education","lineage":["https://openalex.org/I179324530"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Minghao Yin","raw_affiliation_strings":["Jilin University of Finance and Economics, Changchun, China"],"affiliations":[{"raw_affiliation_string":"Jilin University of Finance and Economics, Changchun, China","institution_ids":["https://openalex.org/I179324530"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100760521"],"corresponding_institution_ids":["https://openalex.org/I179324530"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.6058,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.70993794,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"6","issue":null,"first_page":"62062","last_page":"62075"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9966999888420105,"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":0.9966999888420105,"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":0.995199978351593,"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/T10142","display_name":"Formal Methods in Verification","score":0.9927999973297119,"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":0.7067265510559082},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5531799793243408},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5509119629859924},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4835653007030487},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4487874507904053},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3627516031265259},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3277130722999573},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2928431034088135},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1359514594078064},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.0810995101928711}],"concepts":[{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7067265510559082},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5531799793243408},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5509119629859924},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4835653007030487},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4487874507904053},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3627516031265259},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3277130722999573},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2928431034088135},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1359514594078064},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0810995101928711},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2875499","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2875499","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b53fcef925c64cfcba53693c05b54eb1","is_oa":true,"landing_page_url":"https://doaj.org/article/b53fcef925c64cfcba53693c05b54eb1","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 6, Pp 62062-62075 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2875499","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2875499","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1337390109","display_name":null,"funder_award_id":"61502111","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G289541768","display_name":null,"funder_award_id":"61763003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4399572526","display_name":null,"funder_award_id":"61806082","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5441791707","display_name":null,"funder_award_id":"61503074","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W198520991","https://openalex.org/W244636295","https://openalex.org/W1487719891","https://openalex.org/W1488425980","https://openalex.org/W1502785494","https://openalex.org/W1533981606","https://openalex.org/W1539453972","https://openalex.org/W1545460147","https://openalex.org/W1547251600","https://openalex.org/W1735141257","https://openalex.org/W1989158148","https://openalex.org/W2062525218","https://openalex.org/W2069001474","https://openalex.org/W2069808479","https://openalex.org/W2070684734","https://openalex.org/W2094675143","https://openalex.org/W2094716844","https://openalex.org/W2096495231","https://openalex.org/W2131292691","https://openalex.org/W2135113048","https://openalex.org/W2139735383","https://openalex.org/W2170308744","https://openalex.org/W2240008187","https://openalex.org/W2249156935","https://openalex.org/W2252595579","https://openalex.org/W2279249111","https://openalex.org/W2288310734","https://openalex.org/W2521403710","https://openalex.org/W2597351598","https://openalex.org/W2611770526","https://openalex.org/W2725348175","https://openalex.org/W2739697471","https://openalex.org/W2740648687","https://openalex.org/W2766494658","https://openalex.org/W2790273429","https://openalex.org/W2793947018","https://openalex.org/W2950295097","https://openalex.org/W3100239395","https://openalex.org/W3187178437","https://openalex.org/W4362718485","https://openalex.org/W6629118174","https://openalex.org/W6632047004","https://openalex.org/W6632455049","https://openalex.org/W6680488465","https://openalex.org/W6691280210","https://openalex.org/W6694836710","https://openalex.org/W6742053758","https://openalex.org/W6764104572","https://openalex.org/W6799358701"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W3162204513","https://openalex.org/W2371138613","https://openalex.org/W2048963458","https://openalex.org/W43109613","https://openalex.org/W2359952343","https://openalex.org/W2239445980","https://openalex.org/W2080152487","https://openalex.org/W3083152911"],"abstract_inverted_index":{"The":[0,157],"minimum":[1,17],"<inline-formula":[2],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[3,48,77,115,140,165],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[4],"<tex-math":[5],"notation=\"LaTeX\">$k$":[6],"</tex-math></inline-formula>":[7],"-dominating":[8],"set":[9,19],"(MKDS)":[10],"problem,":[11,20],"a":[12,41,86,120],"generalization":[13],"of":[14,137,173],"the":[15,34,38,57,63,69,81,101,135,143,148,154,162],"classical":[16,155],"dominating":[18],"is":[21,52,131,168],"an":[22,108],"important":[23],"NP-hard":[24],"combinatorial":[25],"optimization":[26],"problem":[27,36],"with":[28,142],"various":[29],"applications.":[30],"First,":[31],"to":[32,61,67,90],"alleviate":[33],"cycling":[35],"in":[37,171],"local":[39,110],"search,":[40],"MKDS":[42],"two-level":[43,121],"configuration":[44,122],"checking":[45,123],"(MKDSCC":[46],"<sup":[47,76,114,139,164],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[49,78,116,141,166],")":[50],"strategy":[51,79,89],"presented.":[53],"Second,":[54],"we":[55,84],"use":[56],"vertex":[58,87,93,128],"cost":[59],"scheme":[60],"define":[62],"scoring":[64,82,125],"mechanism":[65],"and":[66,80,127,147,176],"improve":[68],"solution":[70,174],"effectively.":[71],"Third,":[72],"by":[73],"combining":[74],"MKDSCC":[75],"mechanism,":[83,126],"propose":[85],"selection":[88,129],"decide":[91],"which":[92,118],"should":[94],"be":[95],"added":[96],"into":[97],"or":[98],"removed":[99],"from":[100],"candidate":[102],"solution.":[103],"Based":[104],"on":[105,153],"these":[106],"strategies,":[107],"efficient":[109],"search":[111],"algorithm":[112,146,167],"(VSCC":[113],"),":[117],"incorporates":[119],"strategy,":[124,130],"proposed.":[132],"We":[133],"compare":[134],"performance":[136],"VSCC":[138,163],"classic":[144],"GRASP":[145],"famous":[149],"commercial":[150],"solver":[151],"CPLEX":[152],"instances.":[156],"comprehensive":[158],"results":[159],"show":[160],"that":[161],"very":[169],"competitive":[170],"terms":[172],"quality":[175],"computing":[177],"time.":[178]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2018-10-26T00:00:00"}