{"id":"https://openalex.org/W2963994673","doi":"https://doi.org/10.1137/16m1057383","title":"Metric Dimension of Bounded Tree-length Graphs","display_name":"Metric Dimension of Bounded Tree-length Graphs","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2963994673","doi":"https://doi.org/10.1137/16m1057383","mag":"2963994673"},"language":"en","primary_location":{"id":"doi:10.1137/16m1057383","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1057383","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/A5033958954","display_name":"R\u00e9my Belmonte","orcid":"https://orcid.org/0000-0001-8043-5343"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I4210097800","display_name":"Kyoto Architecture University","ror":"https://ror.org/00w2erz81","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210097800"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"R\u00e9my Belmonte","raw_affiliation_strings":["Department of Architecture and Architectural Engineering, Kyoto University, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Architecture and Architectural Engineering, Kyoto University, Japan","institution_ids":["https://openalex.org/I22299242","https://openalex.org/I4210097800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075328697","display_name":"Fedor V. Fomin","orcid":"https://orcid.org/0000-0003-1955-4612"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Fedor V. Fomin","raw_affiliation_strings":["Department of Informatics, University of Bergen, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051709720","display_name":"Petr A. Golovach","orcid":"https://orcid.org/0000-0002-2619-2990"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Petr A. Golovach","raw_affiliation_strings":["Department of Informatics, University of Bergen, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112411811","display_name":"M. S. Ramanujan","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":"M. S. Ramanujan","raw_affiliation_strings":["TU Wien, Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TU Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7003,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.86679101,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"31","issue":"2","first_page":"1217","last_page":"1243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":1.0,"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":1.0,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9951000213623047,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9666000008583069,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/metric-dimension","display_name":"Metric dimension","score":0.8223098516464233},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7836843729019165},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6889059543609619},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.6187615394592285},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5734673142433167},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.5529961585998535},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.5120459198951721},{"id":"https://openalex.org/keywords/interval-graph","display_name":"Interval graph","score":0.47915118932724},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4626096189022064},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4620029628276825},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.36557966470718384},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.355191707611084}],"concepts":[{"id":"https://openalex.org/C60933471","wikidata":"https://www.wikidata.org/wiki/Q17152964","display_name":"Metric dimension","level":5,"score":0.8223098516464233},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7836843729019165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6889059543609619},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.6187615394592285},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5734673142433167},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5529961585998535},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.5120459198951721},{"id":"https://openalex.org/C67810366","wikidata":"https://www.wikidata.org/wiki/Q835942","display_name":"Interval graph","level":5,"score":0.47915118932724},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4626096189022064},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4620029628276825},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.36557966470718384},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.355191707611084},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/16m1057383","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1057383","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/G7341379831","display_name":null,"funder_award_id":"267959","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"}],"funders":[{"id":"https://openalex.org/F4320320912","display_name":"Ministry of Education, Culture, Sports, Science and Technology","ror":"https://ror.org/048rj2z13"},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1000874833","https://openalex.org/W1980831620","https://openalex.org/W2000763343","https://openalex.org/W2003998639","https://openalex.org/W2019030165","https://openalex.org/W2026014023","https://openalex.org/W2037298352","https://openalex.org/W2126464568","https://openalex.org/W2131313286","https://openalex.org/W3102164014"],"related_works":["https://openalex.org/W1987143101","https://openalex.org/W2963009577","https://openalex.org/W2788975631","https://openalex.org/W2903402681","https://openalex.org/W2251679127","https://openalex.org/W2407722793","https://openalex.org/W2157783000","https://openalex.org/W2077583413","https://openalex.org/W2028363955","https://openalex.org/W1883847458"],"abstract_inverted_index":{"The":[0,107],"notion":[1],"of":[2,13,43,53,66,104,109,114,189,209,236],"resolving":[3,60,88],"sets":[4],"in":[5,48,55,75,90,202],"a":[6,41,49,56,59,73,91,95,115,118],"graph":[7,57,92,116,151],"was":[8,125],"introduced":[9],"by":[10,175,185,233],"Slater":[11],"[Proceedings":[12],"the":[14,76,101,105,111,186,190,234,237],"Sixth":[15],"Southeastern":[16],"Conference":[17],"on":[18,132,148,168],"Combinatorics,":[19],"Graph":[20],"Theory,":[21],"and":[22,30,32,69,84,98,122,221],"Computing,":[23],"Util.":[24],"Math.,":[25],"Winnipeg,":[26],"1975,":[27],"pp.":[28,38,159],"549--559]":[29],"Harary":[31],"Melter":[33],"[Ars":[34],"Combin.,":[35],"2":[36],"(1976),":[37],"191--195]":[39],"as":[40],"way":[42],"uniquely":[44],"identifying":[45],"every":[46],"vertex":[47,74],"graph.":[50,106,191,239],"A":[51,86],"set":[52,61,77,89],"vertices":[54,67],"is":[58,72,93,117,135,165,180,230],"if":[62],"for":[63],"any":[64],"pair":[65],"$x$":[68,83],"$y$":[70],"there":[71],"which":[78],"has":[79],"distinct":[80],"distances":[81],"to":[82,127,143,206],"$y$.":[85],"smallest":[87],"called":[94],"metric":[96,102,112,187],"basis":[97],"its":[99,145],"size,":[100],"dimension":[103,113,188],"problem":[108,121,164,229],"computing":[110],"well-known":[119,214],"NP-hard":[120],"while":[123],"it":[124,134,179],"known":[126],"be":[128,204],"polynomial":[129],"time":[130],"solvable":[131],"trees,":[133],"only":[136],"recently":[137],"that":[138,162,178,197,227],"efforts":[139],"have":[140],"been":[141],"made":[142],"understand":[144],"computational":[146],"complexity":[147],"various":[149],"restricted":[150],"classes.":[152],"In":[153,192],"recent":[154],"work,":[155,194],"Foucaud":[156],"[Algorithmica,":[157],"2016,":[158],"1--31]":[160],"showed":[161],"this":[163,173,193,198,228],"NP-complete":[166],"even":[167],"interval":[169],"graphs.":[170,223],"They":[171],"complemented":[172],"result":[174,200],"also":[176,225],"showing":[177],"fixed-parameter":[181],"tractable":[182],"(FPT)":[183],"parameterized":[184,232],"we":[195],"show":[196,226],"FPT":[199,231],"can":[201],"fact":[203],"extended":[205],"all":[207],"graphs":[208],"bounded":[210],"tree-length.":[211],"This":[212],"includes":[213],"classes":[215],"like":[216],"chordal":[217],"graphs,":[218,220],"AT-free":[219],"permutation":[222],"We":[224],"modular-width":[235],"input":[238]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}