{"id":"https://openalex.org/W4387498444","doi":"https://doi.org/10.1137/22m1510911","title":"Metric Dimension Parameterized by Feedback Vertex Set and Other Structural Parameters","display_name":"Metric Dimension Parameterized by Feedback Vertex Set and Other Structural Parameters","publication_year":2023,"publication_date":"2023-10-10","ids":{"openalex":"https://openalex.org/W4387498444","doi":"https://doi.org/10.1137/22m1510911"},"language":"en","primary_location":{"id":"doi:10.1137/22m1510911","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1510911","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5022905636","display_name":"Esther Galby","orcid":"https://orcid.org/0009-0004-5398-2770"},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]},{"id":"https://openalex.org/I884043246","display_name":"Hamburg University of Technology","ror":"https://ror.org/04bs1pb34","country_code":"DE","type":"education","lineage":["https://openalex.org/I884043246"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Esther Galby","raw_affiliation_strings":["Hamburg University of Technology, Institute for Algorithms and Complexity, Hamburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hamburg University of Technology, Institute for Algorithms and Complexity, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053928202","display_name":"Liana Khazaliya","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Liana Khazaliya","raw_affiliation_strings":["Technische Universit\u00e4t Wien, Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073087000","display_name":"Fionn Mc Inerney","orcid":"https://orcid.org/0000-0002-5634-9506"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Fionn Mc Inerney","raw_affiliation_strings":["Technische Universit\u00e4t Wien, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0002-5634-9506","affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042086477","display_name":"Roohani Sharma","orcid":"https://orcid.org/0000-0003-2212-1359"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Roohani Sharma","raw_affiliation_strings":["Max Planck Institute for Informatics, Saarland Informatics Campus, Saarbr\u00fccken, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Informatics, Saarland Informatics Campus, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035477873","display_name":"Prafullkumar Tale","orcid":"https://orcid.org/0000-0001-9753-0523"},"institutions":[{"id":"https://openalex.org/I181996519","display_name":"Indian Institute of Science Education and Research Pune","ror":"https://ror.org/028qa3n13","country_code":"IN","type":"education","lineage":["https://openalex.org/I181996519"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Prafullkumar Tale","raw_affiliation_strings":["Indian Institute of Science Education and Research Pune, Pune, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Institute of Science Education and Research Pune, Pune, India","institution_ids":["https://openalex.org/I181996519"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5603,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69749935,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"37","issue":"4","first_page":"2241","last_page":"2264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9998000264167786,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9998000264167786,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9940999746322632,"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":0.9900000095367432,"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/parameterized-complexity","display_name":"Parameterized complexity","score":0.9407786130905151},{"id":"https://openalex.org/keywords/vertex-cover","display_name":"Vertex cover","score":0.7871884107589722},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.695728600025177},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6719204187393188},{"id":"https://openalex.org/keywords/kernelization","display_name":"Kernelization","score":0.638270914554596},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6268407106399536},{"id":"https://openalex.org/keywords/feedback-vertex-set","display_name":"Feedback vertex set","score":0.5890707969665527},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5013096332550049},{"id":"https://openalex.org/keywords/metric-dimension","display_name":"Metric dimension","score":0.4745821952819824},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4469953775405884},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4243379235267639},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4143863916397095},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3745272755622864},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.3345816135406494},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21015051007270813},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.07929283380508423}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.9407786130905151},{"id":"https://openalex.org/C40687702","wikidata":"https://www.wikidata.org/wiki/Q11515519","display_name":"Vertex cover","level":3,"score":0.7871884107589722},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.695728600025177},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6719204187393188},{"id":"https://openalex.org/C207225210","wikidata":"https://www.wikidata.org/wiki/Q1759539","display_name":"Kernelization","level":3,"score":0.638270914554596},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6268407106399536},{"id":"https://openalex.org/C28723256","wikidata":"https://www.wikidata.org/wiki/Q1400918","display_name":"Feedback vertex set","level":4,"score":0.5890707969665527},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5013096332550049},{"id":"https://openalex.org/C60933471","wikidata":"https://www.wikidata.org/wiki/Q17152964","display_name":"Metric dimension","level":5,"score":0.4745821952819824},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4469953775405884},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4243379235267639},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4143863916397095},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3745272755622864},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.3345816135406494},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21015051007270813},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.07929283380508423},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1510911","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1510911","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8680003781","display_name":null,"funder_award_id":"725978","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1000874833","https://openalex.org/W1513939901","https://openalex.org/W1973911938","https://openalex.org/W2006716595","https://openalex.org/W2019020998","https://openalex.org/W2037298352","https://openalex.org/W2092469145","https://openalex.org/W2100994793","https://openalex.org/W2101451020","https://openalex.org/W2103905945","https://openalex.org/W2126308485","https://openalex.org/W2164538103","https://openalex.org/W2206578604","https://openalex.org/W2460825048","https://openalex.org/W2742357320","https://openalex.org/W2754536942","https://openalex.org/W2793642414","https://openalex.org/W2914414140","https://openalex.org/W2929682486","https://openalex.org/W2962811261","https://openalex.org/W2963310987","https://openalex.org/W2963994673","https://openalex.org/W2996877459","https://openalex.org/W3047364940","https://openalex.org/W3101038336","https://openalex.org/W3102164014","https://openalex.org/W3123457922","https://openalex.org/W3131586115","https://openalex.org/W3173364418","https://openalex.org/W3217654258"],"related_works":["https://openalex.org/W2168711306","https://openalex.org/W2166871264","https://openalex.org/W3002469317","https://openalex.org/W2949267003","https://openalex.org/W2043560626","https://openalex.org/W1597649928","https://openalex.org/W3038050706","https://openalex.org/W3122973673","https://openalex.org/W2077654620","https://openalex.org/W2293317078"],"abstract_inverted_index":{"Abstract.":[0],"For":[1],"a":[2,7,14,27,44,50,61],"graph":[3,45],"[Formula:":[4,9,22,29,34,46,53,68,136],"see":[5,10,23,30,35,47,54,69,137],"text],":[6,24,55],"subset":[8],"text]":[11,31,48],"is":[12,79,127,144,181,212,228],"called":[13],"resolving":[15,62],"set":[16,63,170,192],"if":[17],"for":[18],"any":[19],"two":[20],"vertices":[21],"there":[25,59],"exists":[26,60],"vertex":[28,154,169,191,251],"such":[32],"that":[33,124,142,178,209,225],"text].":[36,70,138],"The":[37],"Metric":[38,179,226],"Dimension":[39,180,227],"problem":[40,72,126,211],"takes":[41],"as":[42],"input":[43],"and":[49,56,78,88,93,109,157,203],"positive":[51,221],"integer":[52],"asks":[57],"whether":[58],"of":[64,105,201,244],"size":[65],"at":[66],"most":[67],"This":[71,196],"was":[73],"introduced":[74],"in":[75,165],"the":[76,103,125,133,153,167,187,199,210,217,220,234,239,250],"1970s":[77],"known":[80],"to":[81,96,236,241],"be":[82],"NP":[83],"-hard":[84],"[M.":[85],"R.":[86],"Garey":[87],"D.":[89],"S.":[90],"Johnson,":[91],"Computers":[92],"Intractability\u2014A":[94],"Guide":[95],"NP-Completeness,":[97],"Freeman,":[98],"San":[99],"Francisco,":[100],"1979].":[101],"In":[102],"realm":[104],"parameterized":[106,131,151,185,215,231],"complexity,":[107],"Hartung":[108],"Nichterlein":[110],"[28":[111],"th":[112],"Conference":[113],"on":[114],"Computational":[115],"Complexity,":[116],"IEEE,":[117],"Piscataway,":[118],"NJ,":[119],"2013,":[120],"pp.":[121],"266\u2013276]":[122],"proved":[123],"W":[128,182,213],"[2]-hard":[129],"when":[130,150,184,230],"by":[132,152,176,186,216,232],"natural":[134],"parameter":[135,146,189],"They":[139],"also":[140,197],"observed":[141],"it":[143],"fixed":[145],"tractable":[147],"(":[148],"FPT)":[149],"cover":[155,252],"number":[156,193],"asked":[158],"about":[159],"its":[160],"complexity":[161],"under":[162],"smaller":[163,247],"parameters,":[164],"particular,":[166],"feedback":[168,190],"number.":[171,253],"We":[172],"answer":[173],"this":[174],"question":[175],"proving":[177],"[1]-hard":[183,214],"combined":[188],"plus":[194],"pathwidth.":[195,218],"improves":[198],"result":[200],"Bonnet":[202],"Purohit":[204],"[IPEC":[205],"2019]":[206],"which":[207,245],"states":[208],"On":[219],"side,":[222],"we":[223],"show":[224],"FPT":[229],"either":[233],"distance":[235,240],"cluster":[237],"or":[238],"cocluster,":[242],"both":[243],"are":[246],"parameters":[248],"than":[249]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}