{"id":"https://openalex.org/W1497588846","doi":"https://doi.org/10.1007/978-3-642-27660-6_17","title":"Minimal Dominating Sets in Graph Classes: Combinatorial Bounds and Enumeration","display_name":"Minimal Dominating Sets in Graph Classes: Combinatorial Bounds and Enumeration","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1497588846","doi":"https://doi.org/10.1007/978-3-642-27660-6_17","mag":"1497588846"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-27660-6_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-27660-6_17","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/A5054371129","display_name":"Jean-Fra\u0146cois Couturier","orcid":null},"institutions":[{"id":"https://openalex.org/I4210116548","display_name":"Laboratoire de Statistique Th\u00e9orique et Appliqu\u00e9e","ror":"https://ror.org/01vnn4t89","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210116548","https://openalex.org/I4210141950"]},{"id":"https://openalex.org/I4210118258","display_name":"Centre d'Excellence en Technologies de l'Information et de la Communication","ror":"https://ror.org/02ma6j015","country_code":"BE","type":"nonprofit","lineage":["https://openalex.org/I4210118258"]},{"id":"https://openalex.org/I4210115196","display_name":"Laboratoire d\u2019Informatique Fondamentale de Marseille","ror":"https://ror.org/022my8t07","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210115196","https://openalex.org/I4210142724","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4387153997","display_name":"Laboratoire d'Informatique Fondamentale d'Orl\u00e9ans","ror":"https://ror.org/01nr3td38","country_code":null,"type":"facility","lineage":["https://openalex.org/I12449238","https://openalex.org/I4210143826","https://openalex.org/I4387153997"]}],"countries":["BE","FR"],"is_corresponding":true,"raw_author_name":"Jean-Fran\u00e7ois Couturier","raw_affiliation_strings":["LITA, Universit\u00e9 Paul Verlaine - Metz, 57045, Metz Cedex 01, France","Laboratoire d'Informatique Th\u00e9orique et Appliqu\u00e9e","Laboratoire d'Informatique Fondamentale d'Orl\u00e9ans","Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804"],"affiliations":[{"raw_affiliation_string":"LITA, Universit\u00e9 Paul Verlaine - Metz, 57045, Metz Cedex 01, France","institution_ids":[]},{"raw_affiliation_string":"Laboratoire d'Informatique Th\u00e9orique et Appliqu\u00e9e","institution_ids":["https://openalex.org/I4210116548"]},{"raw_affiliation_string":"Laboratoire d'Informatique Fondamentale d'Orl\u00e9ans","institution_ids":["https://openalex.org/I4210115196","https://openalex.org/I4387153997"]},{"raw_affiliation_string":"Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804","institution_ids":["https://openalex.org/I4210118258"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022828497","display_name":"Pinar Heggernes","orcid":"https://orcid.org/0000-0001-9460-4355"},"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":"Pinar Heggernes","raw_affiliation_strings":["Department of Informatics, University of Bergen, N-5020, Bergen, Norway","Department of Informatics [Bergen]"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, N-5020, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"Department of Informatics [Bergen]","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017522059","display_name":"Pim van \u2019t Hof","orcid":"https://orcid.org/0000-0002-1778-7212"},"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":"Pim van\u2019t Hof","raw_affiliation_strings":["Department of Informatics, University of Bergen, N-5020, Bergen, Norway"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, N-5020, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109894460","display_name":"Dieter Kratsch","orcid":null},"institutions":[{"id":"https://openalex.org/I4210116548","display_name":"Laboratoire de Statistique Th\u00e9orique et Appliqu\u00e9e","ror":"https://ror.org/01vnn4t89","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210116548","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Dieter Kratsch","raw_affiliation_strings":["LITA, Universit\u00e9 Paul Verlaine - Metz, 57045, Metz Cedex 01, France","Laboratoire d'Informatique Th\u00e9orique et Appliqu\u00e9e"],"affiliations":[{"raw_affiliation_string":"LITA, Universit\u00e9 Paul Verlaine - Metz, 57045, Metz Cedex 01, France","institution_ids":[]},{"raw_affiliation_string":"Laboratoire d'Informatique Th\u00e9orique et Appliqu\u00e9e","institution_ids":["https://openalex.org/I4210116548"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5054371129"],"corresponding_institution_ids":["https://openalex.org/I4210115196","https://openalex.org/I4210116548","https://openalex.org/I4210118258","https://openalex.org/I4387153997"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.2492,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.94508671,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"202","last_page":"213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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":"Advanced Graph Theory Research","score":0.9998999834060669,"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":0.9952999949455261,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9890000224113464,"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/combinatorics","display_name":"Combinatorics","score":0.7687467336654663},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.6551274657249451},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6375441551208496},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.5717229247093201},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5403857827186584},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5355029106140137},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5345050096511841},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5108575224876404},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4470434784889221},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28442054986953735}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7687467336654663},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.6551274657249451},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6375441551208496},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.5717229247093201},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5403857827186584},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5355029106140137},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5345050096511841},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5108575224876404},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4470434784889221},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28442054986953735},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-27660-6_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-27660-6_17","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"},{"id":"pmh:oai:HAL:hal-02332165v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02332165","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":false,"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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SOFSEM 2012: Theory and Practice of Computer Science, pp.202-213, 2012, ⟨10.1007/978-3-642-27660-6_17⟩","raw_type":"Book sections"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W87884061","https://openalex.org/W144954708","https://openalex.org/W151243703","https://openalex.org/W167097032","https://openalex.org/W205540785","https://openalex.org/W1439548790","https://openalex.org/W1519004817","https://openalex.org/W1519401639","https://openalex.org/W1570340896","https://openalex.org/W1579049696","https://openalex.org/W1813769739","https://openalex.org/W1992186598","https://openalex.org/W2007200873","https://openalex.org/W2013568176","https://openalex.org/W2015963099","https://openalex.org/W2021111619","https://openalex.org/W2022850650","https://openalex.org/W2044013225","https://openalex.org/W2044531679","https://openalex.org/W2047470084","https://openalex.org/W2085870956","https://openalex.org/W2086119402","https://openalex.org/W2089465933","https://openalex.org/W2093334671","https://openalex.org/W2094803116","https://openalex.org/W2115147103","https://openalex.org/W2124240997","https://openalex.org/W2141925838","https://openalex.org/W2143474538","https://openalex.org/W2145212918","https://openalex.org/W2477122060","https://openalex.org/W2748096547","https://openalex.org/W2886475100","https://openalex.org/W6721517817"],"related_works":["https://openalex.org/W108845024","https://openalex.org/W4300125793","https://openalex.org/W2578985712","https://openalex.org/W2406961474","https://openalex.org/W2143566611","https://openalex.org/W88527658","https://openalex.org/W2959217929","https://openalex.org/W4242866892","https://openalex.org/W84644661","https://openalex.org/W42551271"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}