{"id":"https://openalex.org/W4366958223","doi":"https://doi.org/10.1007/978-3-031-30448-4_4","title":"Independent Set Under a\u00a0Change Constraint from\u00a0an\u00a0Initial Solution","display_name":"Independent Set Under a\u00a0Change Constraint from\u00a0an\u00a0Initial Solution","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4366958223","doi":"https://doi.org/10.1007/978-3-031-30448-4_4"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-30448-4_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-30448-4_4","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://kyutech.repo.nii.ac.jp/record/2000548/files/10420553.pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080564157","display_name":"Yuichi Asahiro","orcid":"https://orcid.org/0000-0002-9801-3285"},"institutions":[{"id":"https://openalex.org/I199028557","display_name":"Kyushu Sangyo University","ror":"https://ror.org/01wqrpc44","country_code":"JP","type":"education","lineage":["https://openalex.org/I199028557"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yuichi Asahiro","raw_affiliation_strings":["Kyushu Sangyo University, Fukuoka, Japan"],"affiliations":[{"raw_affiliation_string":"Kyushu Sangyo University, Fukuoka, Japan","institution_ids":["https://openalex.org/I199028557"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003248242","display_name":"Hiroshi Eto","orcid":"https://orcid.org/0000-0003-1456-1987"},"institutions":[{"id":"https://openalex.org/I207014233","display_name":"Kyushu Institute of Technology","ror":"https://ror.org/02278tr80","country_code":"JP","type":"education","lineage":["https://openalex.org/I207014233"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroshi Eto","raw_affiliation_strings":["Kyushu Institute of Technology, Iizuka, Japan"],"affiliations":[{"raw_affiliation_string":"Kyushu Institute of Technology, Iizuka, Japan","institution_ids":["https://openalex.org/I207014233"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090789614","display_name":"Kana Korenaga","orcid":null},"institutions":[{"id":"https://openalex.org/I207014233","display_name":"Kyushu Institute of Technology","ror":"https://ror.org/02278tr80","country_code":"JP","type":"education","lineage":["https://openalex.org/I207014233"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kana Korenaga","raw_affiliation_strings":["Kyushu Institute of Technology, Iizuka, Japan"],"affiliations":[{"raw_affiliation_string":"Kyushu Institute of Technology, Iizuka, Japan","institution_ids":["https://openalex.org/I207014233"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089344475","display_name":"Guohui Lin","orcid":"https://orcid.org/0000-0003-4283-3396"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Guohui Lin","raw_affiliation_strings":["University of Alberta, Edmonton, Canada"],"affiliations":[{"raw_affiliation_string":"University of Alberta, Edmonton, Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057410359","display_name":"Eiji Miyano","orcid":"https://orcid.org/0000-0002-4260-7818"},"institutions":[{"id":"https://openalex.org/I207014233","display_name":"Kyushu Institute of Technology","ror":"https://ror.org/02278tr80","country_code":"JP","type":"education","lineage":["https://openalex.org/I207014233"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Eiji Miyano","raw_affiliation_strings":["Kyushu Institute of Technology, Iizuka, Japan"],"affiliations":[{"raw_affiliation_string":"Kyushu Institute of Technology, Iizuka, Japan","institution_ids":["https://openalex.org/I207014233"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062804023","display_name":"Reo Nonoue","orcid":null},"institutions":[{"id":"https://openalex.org/I207014233","display_name":"Kyushu Institute of Technology","ror":"https://ror.org/02278tr80","country_code":"JP","type":"education","lineage":["https://openalex.org/I207014233"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Reo Nonoue","raw_affiliation_strings":["Kyushu Institute of Technology, Iizuka, Japan"],"affiliations":[{"raw_affiliation_string":"Kyushu Institute of Technology, Iizuka, Japan","institution_ids":["https://openalex.org/I207014233"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5057410359"],"corresponding_institution_ids":["https://openalex.org/I207014233"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12023186,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"37","last_page":"51"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9994999766349792,"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/T12541","display_name":"Graph Labeling and Dimension Problems","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/interval-graph","display_name":"Interval graph","score":0.7745836973190308},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7602936625480652},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7587306499481201},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7469495534896851},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.7362244725227356},{"id":"https://openalex.org/keywords/comparability","display_name":"Comparability","score":0.682234525680542},{"id":"https://openalex.org/keywords/vertex-cover","display_name":"Vertex cover","score":0.6133846640586853},{"id":"https://openalex.org/keywords/split-graph","display_name":"Split graph","score":0.6027482151985168},{"id":"https://openalex.org/keywords/independent-set","display_name":"Independent set","score":0.601568877696991},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48867371678352356},{"id":"https://openalex.org/keywords/maximal-independent-set","display_name":"Maximal independent set","score":0.4878402054309845},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.48202478885650635},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4353976547718048},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.43113481998443604},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.41749876737594604},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.4168597161769867},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3920767605304718},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.16152924299240112},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.13049864768981934}],"concepts":[{"id":"https://openalex.org/C67810366","wikidata":"https://www.wikidata.org/wiki/Q835942","display_name":"Interval graph","level":5,"score":0.7745836973190308},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7602936625480652},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7587306499481201},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7469495534896851},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.7362244725227356},{"id":"https://openalex.org/C197947376","wikidata":"https://www.wikidata.org/wiki/Q5155608","display_name":"Comparability","level":2,"score":0.682234525680542},{"id":"https://openalex.org/C40687702","wikidata":"https://www.wikidata.org/wiki/Q11515519","display_name":"Vertex cover","level":3,"score":0.6133846640586853},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.6027482151985168},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.601568877696991},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48867371678352356},{"id":"https://openalex.org/C18359143","wikidata":"https://www.wikidata.org/wiki/Q7888149","display_name":"Maximal independent set","level":5,"score":0.4878402054309845},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.48202478885650635},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4353976547718048},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.43113481998443604},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.41749876737594604},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.4168597161769867},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3920767605304718},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.16152924299240112},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.13049864768981934},{"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:10.1007/978-3-031-30448-4_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-30448-4_4","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:kyutech.repo.nii.ac.jp:02000548","is_oa":true,"landing_page_url":"http://hdl.handle.net/10228/0002000548","pdf_url":"https://kyutech.repo.nii.ac.jp/record/2000548/files/10420553.pdf","source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"AM"}],"best_oa_location":{"id":"pmh:oai:kyutech.repo.nii.ac.jp:02000548","is_oa":true,"landing_page_url":"http://hdl.handle.net/10228/0002000548","pdf_url":"https://kyutech.repo.nii.ac.jp/record/2000548/files/10420553.pdf","source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"AM"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","score":0.41999998688697815,"display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4366958223.pdf","grobid_xml":"https://content.openalex.org/works/W4366958223.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W20372564","https://openalex.org/W1973310391","https://openalex.org/W1977847591","https://openalex.org/W1978452004","https://openalex.org/W2012329067","https://openalex.org/W2015475193","https://openalex.org/W2024491681","https://openalex.org/W2030087828","https://openalex.org/W2033410225","https://openalex.org/W2048237851","https://openalex.org/W2085155184","https://openalex.org/W2097374444","https://openalex.org/W2113280143","https://openalex.org/W2170633983","https://openalex.org/W2401610261","https://openalex.org/W2748096547","https://openalex.org/W2914414140"],"related_works":["https://openalex.org/W2359923140","https://openalex.org/W2788975631","https://openalex.org/W2963009577","https://openalex.org/W2903402681","https://openalex.org/W2119379571","https://openalex.org/W2622491724","https://openalex.org/W2011576340","https://openalex.org/W2803082133","https://openalex.org/W2970277130","https://openalex.org/W1863569021"],"abstract_inverted_index":{"In":[0,97],"this":[1,98],"paper,":[2,99],"we":[3,100,141],"study":[4,142],"a":[5,46],"type":[6],"of":[7,11,52,150],"incremental":[8],"optimization":[9],"variant":[10],"the":[12,50,108,121,143,151,156],"Maximum":[13,20,157],"Independent":[14,21],"Set":[15,22],"problem":[16,23],"(MaxIS),":[17],"called":[18],"Bounded-Deletion":[19],"(BD-MaxIS):":[24],"Given":[25],"an":[26,34,39,57],"unweighted":[27],"graph":[28,161],"$$G":[29],"=":[30],"(V,":[31],"E)$$":[32],",":[33,44],"initial":[35],"feasible":[36],"solution":[37],"(i.e.,":[38],"independent":[40,58],"set)":[41],"$$S^0\\subseteq":[42],"V$$":[43,61],"and":[45,67,94,115,131,155],"non-negative":[47],"integer":[48],"k,":[49],"objective":[51],"BD-MaxIS":[53,103,125],"is":[54,69,74,104,110],"to":[55,112,117],"find":[56],"set":[59],"$$S\\subseteq":[60],"such":[62],"that":[63,102],"$$|S^0\\setminus":[64],"S|\\le":[65],"k$$":[66],"|S|":[68],"maximized.":[70],"The":[71],"original":[72],"MaxIS":[73],"generally":[75],"NP-hard,":[76],"but,":[77],"it":[78],"can":[79,134],"be":[80,135],"solved":[81,136],"in":[82,137],"polynomial":[83,138],"time":[84],"for":[85,160],"perfect":[86],"graphs":[87,133],"(and":[88],"therefore,":[89],"comparability,":[90],"co-comparability,":[91,127],"bipartite,":[92,130],"chordal,":[93],"interval":[95],"graphs).":[96],"show":[101],"NP-hard":[105],"even":[106],"if":[107],"input":[109],"restricted":[111],"bipartite":[113],"graphs,":[114],"hence":[116],"comparability":[118],"graphs.":[119],"On":[120],"other":[122],"hand,":[123],"fortunately,":[124],"on":[126,146],"interval,":[128],"convex":[129],"chordal":[132],"time.":[139],"Finally,":[140],"computational":[144],"complexity":[145],"very":[147],"similar":[148],"variants":[149],"Minimum":[152],"Vertex":[153],"Cover":[154],"Clique":[158],"problems":[159],"subclasses.":[162]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}