{"id":"https://openalex.org/W2268599538","doi":"https://doi.org/10.1093/comjnl/bxv089","title":"Computing Global Secure Set on Trees","display_name":"Computing Global Secure Set on Trees","publication_year":2015,"publication_date":"2015-11-23","ids":{"openalex":"https://openalex.org/W2268599538","doi":"https://doi.org/10.1093/comjnl/bxv089","mag":"2268599538"},"language":"en","primary_location":{"id":"doi:10.1093/comjnl/bxv089","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxv089","pdf_url":null,"source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","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/A5112036922","display_name":"Jia-Jie Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I68348662","display_name":"Shih Hsin University","ror":"https://ror.org/03ynprv96","country_code":"TW","type":"education","lineage":["https://openalex.org/I68348662"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Jia-Jie Liu","raw_affiliation_strings":["Department of Information Management, Shih Hsin University, 1 Lane 17 Sec. 1, Mu-Cha Road, Taipei, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Information Management, Shih Hsin University, 1 Lane 17 Sec. 1, Mu-Cha Road, Taipei, Taiwan","institution_ids":["https://openalex.org/I68348662"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103623293","display_name":"Cheng-Ju Hsu","orcid":null},"institutions":[{"id":"https://openalex.org/I165106657","display_name":"Chien Hsin University of Science and Technology","ror":"https://ror.org/05fbv4544","country_code":"TW","type":"education","lineage":["https://openalex.org/I165106657"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Cheng-Ju Hsu","raw_affiliation_strings":["Department of Information Management, Chien Hsin University of Science and Technology, Taoyuan, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Information Management, Chien Hsin University of Science and Technology, Taoyuan, Taiwan","institution_ids":["https://openalex.org/I165106657"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101521639","display_name":"Chien\u2010Hung Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I154864474","display_name":"National Taiwan University of Science and Technology","ror":"https://ror.org/00q09pe49","country_code":"TW","type":"education","lineage":["https://openalex.org/I154864474"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chien-Hung Lin","raw_affiliation_strings":["Department of Information Management, National Taiwan University of Science and Technology, Taipei, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Information Management, National Taiwan University of Science and Technology, Taipei, Taiwan","institution_ids":["https://openalex.org/I154864474"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112036922"],"corresponding_institution_ids":["https://openalex.org/I68348662"],"apc_list":{"value":2635,"currency":"GBP","value_usd":3232},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14336521,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"59","issue":"5","first_page":"616","last_page":"629"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.9983000159263611,"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/computer-science","display_name":"Computer science","score":0.6518582105636597},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.5536054372787476},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47726887464523315},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.3851499557495117},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.33347269892692566}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6518582105636597},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.5536054372787476},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47726887464523315},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.3851499557495117},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.33347269892692566},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/comjnl/bxv089","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxv089","pdf_url":null,"source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","raw_type":"journal-article"},{"id":"pmh:oai:open-archive.highwire.org:comjnl:59/5/616","is_oa":false,"landing_page_url":"http://comjnl.oxfordjournals.org/cgi/content/short/59/5/616","pdf_url":null,"source":{"id":"https://openalex.org/S4406923041","display_name":"HighWire Press Open Archive","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"TEXT"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1565752646","https://openalex.org/W1974378878","https://openalex.org/W1976167318","https://openalex.org/W1986384999","https://openalex.org/W1987326317","https://openalex.org/W2000263432","https://openalex.org/W2004444066","https://openalex.org/W2008749427","https://openalex.org/W2017080804","https://openalex.org/W2019684082","https://openalex.org/W2028219352","https://openalex.org/W2040495536","https://openalex.org/W2070031208","https://openalex.org/W2095078730","https://openalex.org/W2132088887","https://openalex.org/W2188726364","https://openalex.org/W2614441239","https://openalex.org/W6686820406"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"Let":[0,11],"<f>$S$</f>":[1,27,47,62,80,93],"be":[2],"a":[3,8,29,42,49,75,98,127,149],"subset":[4],"of":[5,7,16,19,31,51,94,102,118,132,148,163],"vertices":[6],"graph":[9],"<f>$G=(V,E)$</f>.":[10],"<f>$N[v]$</f>":[12],"denote":[13],"the":[14,146,160,164],"set":[15,30,50,61,92,131,153],"closed":[17],"neighbors":[18],"vertex":[20,33,53,106],"<f>$v$</f>.":[21],"An":[22],"attack":[23,68],"<f>${\\\\mathcal":[24,44,69,77],"A}$</f>":[25,70],"on":[26,46,79,154],"is":[28,48,63,96,111,124,159],"disjoint":[32,52],"sets":[34,54],"<f>$\\\\{A_v\\\\,|\\\\,A_v\\\\subseteq":[35],"N[v]{\\\\setminus":[36],"}":[37,109],"S,\\\\":[38,57],"v\\\\in":[39,58],"S\\\\}$</f>,":[40],"and":[41],"defense":[43,76],"D}$</f>":[45,78],"<f>$\\\\{D_v\\\\,|\\\\,D_v\\\\subseteq":[55],"N[v]\\\\cap":[56],"S\\\\}$</f>.":[59],"A":[60,90],"<it>secure</it>":[64],"if":[65,104],"for":[66,85,144],"any":[67],"to":[71,113,125],"<f>$S$</f>,":[72],"there":[73],"exists":[74],"such":[81],"that":[82],"<f>$|D_v|\\\\geq":[83],"|A_v|$</f>":[84],"all":[86],"<f>$v$</f>":[87],"in":[88,107],"<f>$S$</f>.":[89,119],"secure":[91,100,130,152],"<f>$G$</f>":[95,103],"called":[97],"<it>global":[99,121],"set</it>":[101],"every":[105],"<f>$V{\\\\setminus":[108],"S$</f>":[110],"adjacent":[112],"at":[114],"least":[115],"one":[116],"member":[117],"The":[120],"security":[122],"problem</it>":[123],"find":[126],"minimum":[128,150],"global":[129,151],"<f>$G$</f>.":[133],"In":[134],"this":[135],"paper,":[136],"we":[137],"propose":[138],"an":[139],"<f>$O(|V|\\\\log":[140],"\\\\Delta":[141],")$</f>-time":[142],"algorithm":[143],"finding":[145],"cardinality":[147],"trees":[155],"where":[156],"<f>$\\\\Delta":[157],"$</f>":[158],"maximum":[161],"degree":[162],"tree.":[165]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}