{"id":"https://openalex.org/W2034444732","doi":"https://doi.org/10.1007/978-3-642-19222-7_15","title":"On Approximation Complexity of Metric Dimension Problem","display_name":"On Approximation Complexity of Metric Dimension Problem","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2034444732","doi":"https://doi.org/10.1007/978-3-642-19222-7_15","mag":"2034444732"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-19222-7_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-19222-7_15","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111710326","display_name":"Mathias Hauptmann","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Mathias Hauptmann","raw_affiliation_strings":["Dept. of Computer Science, University of Bonn, Germany"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University of Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075779227","display_name":"Richard Schmied","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Richard Schmied","raw_affiliation_strings":["Dept. of Computer Science, University of Bonn, Germany"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University of Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004930020","display_name":"Claus Viehmann","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Claus Viehmann","raw_affiliation_strings":["Dept. of Computer Science, University of Bonn, Germany"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University of Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111710326"],"corresponding_institution_ids":["https://openalex.org/I135140700"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.9456,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.85941176,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"136","last_page":"139"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9769999980926514,"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":0.9380000233650208,"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/bounded-function","display_name":"Bounded function","score":0.7494478225708008},{"id":"https://openalex.org/keywords/dtime","display_name":"DTIME","score":0.7424588799476624},{"id":"https://openalex.org/keywords/vertex-cover","display_name":"Vertex cover","score":0.7394578456878662},{"id":"https://openalex.org/keywords/metric-dimension","display_name":"Metric dimension","score":0.667850136756897},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.6677162647247314},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6406131982803345},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5705474615097046},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5589171648025513},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5526408553123474},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5407772660255432},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46283483505249023},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4357272982597351},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3318638801574707},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.24817389249801636},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15987879037857056},{"id":"https://openalex.org/keywords/turing-machine","display_name":"Turing machine","score":0.10566875338554382},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08151847124099731},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.06993177533149719}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7494478225708008},{"id":"https://openalex.org/C15547884","wikidata":"https://www.wikidata.org/wiki/Q1155831","display_name":"DTIME","level":5,"score":0.7424588799476624},{"id":"https://openalex.org/C40687702","wikidata":"https://www.wikidata.org/wiki/Q11515519","display_name":"Vertex cover","level":3,"score":0.7394578456878662},{"id":"https://openalex.org/C60933471","wikidata":"https://www.wikidata.org/wiki/Q17152964","display_name":"Metric dimension","level":5,"score":0.667850136756897},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.6677162647247314},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6406131982803345},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5705474615097046},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5589171648025513},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5526408553123474},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5407772660255432},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46283483505249023},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4357272982597351},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3318638801574707},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.24817389249801636},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15987879037857056},{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.10566875338554382},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08151847124099731},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.06993177533149719},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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},{"id":"https://openalex.org/C131671149","wikidata":"https://www.wikidata.org/wiki/Q2703890","display_name":"Universal Turing machine","level":4,"score":0.0},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-19222-7_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-19222-7_15","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W109448701","https://openalex.org/W1551888529","https://openalex.org/W1578360408","https://openalex.org/W1973911938","https://openalex.org/W1980842804","https://openalex.org/W2002199085","https://openalex.org/W2011039300","https://openalex.org/W2026014023","https://openalex.org/W2037298352","https://openalex.org/W2073490544","https://openalex.org/W2074293104","https://openalex.org/W2094067618","https://openalex.org/W2105232761","https://openalex.org/W2108442028","https://openalex.org/W2117654132","https://openalex.org/W2324588684","https://openalex.org/W2502223741","https://openalex.org/W2569006230","https://openalex.org/W2805685686","https://openalex.org/W4236316415","https://openalex.org/W4238361102","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2056597184","https://openalex.org/W1712180277","https://openalex.org/W1608414128","https://openalex.org/W2029933769","https://openalex.org/W2551034790","https://openalex.org/W2094388041","https://openalex.org/W3102280101","https://openalex.org/W2538178083","https://openalex.org/W159504299","https://openalex.org/W2034444732"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
