{"id":"https://openalex.org/W2991613589","doi":"https://doi.org/10.46298/dmtcs.6824","title":"New Algorithms for Mixed Dominating Set","display_name":"New Algorithms for Mixed Dominating Set","publication_year":2021,"publication_date":"2021-04-30","ids":{"openalex":"https://openalex.org/W2991613589","doi":"https://doi.org/10.46298/dmtcs.6824","mag":"2991613589"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.46298/dmtcs.6824","pdf_url":"https://dmtcs.episciences.org/7407/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dmtcs.episciences.org/7407/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085931301","display_name":"Louis Dublois","orcid":null},"institutions":[{"id":"https://openalex.org/I4210137929","display_name":"Lamsade","ror":"https://ror.org/03pnp1a74","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210137929","https://openalex.org/I4210159245","https://openalex.org/I56435720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Louis Dublois","raw_affiliation_strings":["Laboratoire d'analyse et mod\u00e9lisation de syst\u00e8mes pour l'aide \u00e0 la d\u00e9cision"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'analyse et mod\u00e9lisation de syst\u00e8mes pour l'aide \u00e0 la d\u00e9cision","institution_ids":["https://openalex.org/I4210137929"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059698872","display_name":"Michael Lampis","orcid":"https://orcid.org/0000-0002-5791-0887"},"institutions":[{"id":"https://openalex.org/I4210137929","display_name":"Lamsade","ror":"https://ror.org/03pnp1a74","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210137929","https://openalex.org/I4210159245","https://openalex.org/I56435720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Michael Lampis","raw_affiliation_strings":["Laboratoire d'analyse et mod\u00e9lisation de syst\u00e8mes pour l'aide \u00e0 la d\u00e9cision"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'analyse et mod\u00e9lisation de syst\u00e8mes pour l'aide \u00e0 la d\u00e9cision","institution_ids":["https://openalex.org/I4210137929"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111473903","display_name":"Vang\u00e9lis Th. Paschos","orcid":null},"institutions":[{"id":"https://openalex.org/I4210137929","display_name":"Lamsade","ror":"https://ror.org/03pnp1a74","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210137929","https://openalex.org/I4210159245","https://openalex.org/I56435720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vangelis Th. Paschos","raw_affiliation_strings":["Laboratoire d'analyse et mod\u00e9lisation de syst\u00e8mes pour l'aide \u00e0 la d\u00e9cision"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'analyse et mod\u00e9lisation de syst\u00e8mes pour l'aide \u00e0 la d\u00e9cision","institution_ids":["https://openalex.org/I4210137929"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":0,"currency":"USD","value_usd":0,"provenance":"doaj"},"apc_paid":null,"fwci":0.156,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":1,"citation_normalized_percentile":{"value":0.412751,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":58,"max":68},"biblio":{"volume":"vol. 23 no. 1","issue":"Discrete Algorithms","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Graph Theory and Algorithms","score":0.9999,"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":"Graph Theory and Algorithms","score":0.9999,"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":"Combinatorial Optimization and Complexity Theory","score":0.9994,"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":"Distributed Coordination in Online Robotics Research","score":0.9799,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.7487352},{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.66182935},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized Complexity","score":0.583399},{"id":"https://openalex.org/keywords/gathering-algorithms","display_name":"Gathering Algorithms","score":0.554113},{"id":"https://openalex.org/keywords/fixed-parameter-algorithms","display_name":"Fixed-Parameter Algorithms","score":0.538492},{"id":"https://openalex.org/keywords/graph-algorithms","display_name":"Graph Algorithms","score":0.535243},{"id":"https://openalex.org/keywords/online-algorithms","display_name":"Online Algorithms","score":0.525728}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.86032295},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.7487352},{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.66182935},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.63097167},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.62497884},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.60246384},{"id":"https://openalex.org/C197685441","wikidata":"https://www.wikidata.org/wiki/Q500716","display_name":"PSPACE","level":3,"score":0.56553143},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.54486287},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5146533},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49790645},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4552251},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.4478687},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4475959},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41725665},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.31521988},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.08502644},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.07887605},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":10,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.46298/dmtcs.6824","pdf_url":"https://dmtcs.episciences.org/7407/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":false,"landing_page_url":"https://hal.science/hal-03491706","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-03491706","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://hal.science/hal-03964550","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://doaj.org/article/7a3a566c194f409c849104a0eb42ac5b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":true,"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":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1911.08964","pdf_url":"https://arxiv.org/pdf/1911.08964","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/opus/volltexte/2020/13312/","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol180-ipec2020/LIPIcs.IPEC.2020.9/LIPIcs.IPEC.2020.9.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":["Schloss Dagstuhl \u2013 Leibniz Center for Informatics"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://basepub.dauphine.psl.eu/handle/123456789/22837","pdf_url":"https://basepub.dauphine.psl.eu/bitstream/123456789/22837/2/1911.08964.pdf","source":{"id":"https://openalex.org/S4306401007","display_name":"Base Institutionnelle de Recherche de l'universit\u00e9 Paris-Dauphine (BIRD) (University Paris-Dauphine)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102197404","host_organization_name":"Universit\u00e9 Paris-Sud","host_organization_lineage":["https://openalex.org/I102197404"],"host_organization_lineage_names":["Universit\u00e9 Paris-Sud"],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://basepub.dauphine.psl.eu/handle/123456789/24861","pdf_url":"https://basepub.dauphine.psl.eu/bitstream/123456789/24861/2/LIPIcs-IPEC-2020-9.pdf","source":{"id":"https://openalex.org/S4306401007","display_name":"Base Institutionnelle de Recherche de l'universit\u00e9 Paris-Dauphine (BIRD) (University Paris-Dauphine)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102197404","host_organization_name":"Universit\u00e9 Paris-Sud","host_organization_lineage":["https://openalex.org/I102197404"],"host_organization_lineage_names":["Universit\u00e9 Paris-Sud"],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.1911.08964","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.46298/dmtcs.6824","pdf_url":"https://dmtcs.episciences.org/7407/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":["https://openalex.org/W2991613589","https://openalex.org/W3114846038"],"referenced_works_count":31,"referenced_works":["https://openalex.org/W1493071618","https://openalex.org/W1600783214","https://openalex.org/W1971257181","https://openalex.org/W2008207969","https://openalex.org/W2021417413","https://openalex.org/W2061470089","https://openalex.org/W2062915396","https://openalex.org/W2070924562","https://openalex.org/W2089158353","https://openalex.org/W2090663581","https://openalex.org/W2092093229","https://openalex.org/W2120358419","https://openalex.org/W2139087151","https://openalex.org/W2580171847","https://openalex.org/W2610519684","https://openalex.org/W2765982640","https://openalex.org/W2785276142","https://openalex.org/W2798803126","https://openalex.org/W2800485060","https://openalex.org/W2914414140","https://openalex.org/W2951194339","https://openalex.org/W2951496695","https://openalex.org/W2963056852","https://openalex.org/W2963196712","https://openalex.org/W2963745986","https://openalex.org/W2964108539","https://openalex.org/W2964157411","https://openalex.org/W2964301480","https://openalex.org/W2965150356","https://openalex.org/W3105505998","https://openalex.org/W4289743228"],"related_works":["https://openalex.org/W4387667086","https://openalex.org/W3123083091","https://openalex.org/W2985636744","https://openalex.org/W2950818896","https://openalex.org/W2465927132","https://openalex.org/W2175868772","https://openalex.org/W2125058377","https://openalex.org/W2124176527","https://openalex.org/W1587078595","https://openalex.org/W1511821218"],"abstract_inverted_index":{"A":[0],"mixed":[1],"dominating":[2],"set":[3],"is":[4],"a":[5,18,65,88,98],"collection":[6],"of":[7,17,24,91,108],"vertices":[8,14],"and":[9,15,26,47,130,139,144],"edges":[10,16],"that":[11,69],"dominates":[12],"all":[13],"graph.":[19],"We":[20],"study":[21],"the":[22,41,58,76,106,118,131],"complexity":[23,43],"exact":[25,135],"parameterized":[27,44,84],"algorithms":[28,114],"for":[29,123],"\\textsc{Mixed":[30],"Dominating":[31],"Set},":[32],"resolving":[33],"some":[34],"open":[35],"questions.":[36],"In":[37],"particular,":[38],"we":[39,111],"settle":[40],"problem's":[42],"by":[45,49,85,96],"treewidth":[46],"pathwidth":[48,86],"giving":[50],"an":[51],"algorithm":[52,71,122],"running":[53],"in":[54],"time":[55],"$O^*(5^{tw})$":[56],"(improving":[57,87],"current":[59],"best":[60,119,132],"$O^*(6^{tw})$),":[61],"as":[62,64],"well":[63],"lower":[66,89],"bound":[67,90],"showing":[68],"our":[70],"cannot":[72],"be":[73],"improved":[74],"under":[75],"Strong":[77],"Exponential":[78],"Time":[79],"Hypothesis":[80],"(SETH),":[81],"even":[82],"if":[83],"$O^*((2":[92],"-":[93],"\\varepsilon)^{pw})$).":[94],"Furthermore,":[95],"using":[97],"simple":[99],"but":[100],"so":[101],"far":[102],"overlooked":[103],"observation":[104],"on":[105],"structure":[107],"minimal":[109],"solutions,":[110],"obtain":[112],"branching":[113],"which":[115],"improve":[116],"both":[117],"known":[120,133],"FPT":[121],"this":[124],"problem,":[125],"from":[126,137],"$O^*(4.172^k)$":[127],"to":[128,142],"$O^*(3.510^k)$,":[129],"exponential-time":[134],"algorithm,":[136],"$O^*(2^n)$":[138],"exponential":[140],"space,":[141],"$O^*(1.912^n)$":[143],"polynomial":[145],"space.":[146]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2991613589","counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2024-10-18T21:14:46.093978","created_date":"2019-12-05"}