{"id":"https://openalex.org/W2149847352","doi":"https://doi.org/10.1007/s00373-015-1536-3","title":"Signed Roman $$k$$ k -Domination in Graphs","display_name":"Signed Roman $$k$$ k -Domination in Graphs","publication_year":2015,"publication_date":"2015-02-19","ids":{"openalex":"https://openalex.org/W2149847352","doi":"https://doi.org/10.1007/s00373-015-1536-3","mag":"2149847352"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-015-1536-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-015-1536-3","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","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/A5089473322","display_name":"Michael A. Henning","orcid":"https://orcid.org/0000-0001-8185-067X"},"institutions":[{"id":"https://openalex.org/I24027795","display_name":"University of Johannesburg","ror":"https://ror.org/04z6c2n17","country_code":"ZA","type":"education","lineage":["https://openalex.org/I24027795"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"Michael A. Henning","raw_affiliation_strings":["Department of Mathematics, University of Johannesburg, Auckland Park, 2006, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Johannesburg, Auckland Park, 2006, South Africa","institution_ids":["https://openalex.org/I24027795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036519893","display_name":"Lutz Volkmann","orcid":"https://orcid.org/0000-0003-3496-277X"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lutz Volkmann","raw_affiliation_strings":["Lehrstuhl II f\u00fcr Mathematik, RWTH Aachen University, 52056, Aachen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lehrstuhl II f\u00fcr Mathematik, RWTH Aachen University, 52056, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089473322"],"corresponding_institution_ids":["https://openalex.org/I24027795"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":11.4685,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.9793321,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"32","issue":"1","first_page":"175","last_page":"190"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9818999767303467,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9818999767303467,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9679999947547913,"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/mathematics","display_name":"Mathematics","score":0.7708128690719604},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7591587901115417},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.6334042549133301},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3468404710292816},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3459116220474243},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.18141770362854004}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7708128690719604},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7591587901115417},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.6334042549133301},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3468404710292816},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3459116220474243},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.18141770362854004}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-015-1536-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-015-1536-3","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W174616216","https://openalex.org/W1493071618","https://openalex.org/W1581552469","https://openalex.org/W1978524950","https://openalex.org/W1990958126","https://openalex.org/W2025942997","https://openalex.org/W2030378184","https://openalex.org/W2052251789","https://openalex.org/W2086536366","https://openalex.org/W2088433037","https://openalex.org/W2098828190","https://openalex.org/W2140596247","https://openalex.org/W2799349239"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W1976691234","https://openalex.org/W4297837079","https://openalex.org/W2963176699","https://openalex.org/W4205905997","https://openalex.org/W2986400025","https://openalex.org/W2349109195","https://openalex.org/W2069797780","https://openalex.org/W4297965885","https://openalex.org/W2078360221"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}