{"id":"https://openalex.org/W2092586594","doi":"https://doi.org/10.1016/j.camwa.2011.07.059","title":"Total restrained domination in graphs","display_name":"Total restrained domination in graphs","publication_year":2011,"publication_date":"2011-09-07","ids":{"openalex":"https://openalex.org/W2092586594","doi":"https://doi.org/10.1016/j.camwa.2011.07.059","mag":"2092586594"},"language":"en","primary_location":{"id":"doi:10.1016/j.camwa.2011.07.059","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.camwa.2011.07.059","pdf_url":null,"source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Mathematics with Applications","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/A5100371766","display_name":"Xing Chen","orcid":"https://orcid.org/0000-0002-2003-3657"},"institutions":[{"id":"https://openalex.org/I4210111575","display_name":"Xinjiang Institute of Engineering","ror":"https://ror.org/01s5hh873","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210111575","https://openalex.org/I4210157944"]},{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xing Chen","raw_affiliation_strings":["College of Mathematics and Systems Sciences, Xinjiang University, Urumqi, Xinjiang, 830046, PR China","Xinjiang Polytechnical College, Urumqi, Xinjiang, 830091, PR China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Systems Sciences, Xinjiang University, Urumqi, Xinjiang, 830046, PR China","institution_ids":["https://openalex.org/I96908189"]},{"raw_affiliation_string":"Xinjiang Polytechnical College, Urumqi, Xinjiang, 830091, PR China","institution_ids":["https://openalex.org/I4210111575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100446326","display_name":"Juan Liu","orcid":"https://orcid.org/0000-0003-0857-3877"},"institutions":[{"id":"https://openalex.org/I1334729051","display_name":"Xinjiang Normal University","ror":"https://ror.org/00ndrvk93","country_code":"CN","type":"education","lineage":["https://openalex.org/I1334729051"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Juan Liu","raw_affiliation_strings":["College of Mathematics Sciences, Xinjiang Normal University, Urumqi, Xinjiang, 830054, PR China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics Sciences, Xinjiang Normal University, Urumqi, Xinjiang, 830054, PR China","institution_ids":["https://openalex.org/I1334729051"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049408702","display_name":"Jixiang Meng","orcid":"https://orcid.org/0000-0001-6853-8163"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jixiang Meng","raw_affiliation_strings":["College of Mathematics and Systems Sciences, Xinjiang University, Urumqi, Xinjiang, 830046, PR China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Systems Sciences, Xinjiang University, Urumqi, Xinjiang, 830046, PR China","institution_ids":["https://openalex.org/I96908189"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5049408702","https://openalex.org/A5100371766"],"corresponding_institution_ids":["https://openalex.org/I4210111575","https://openalex.org/I96908189"],"apc_list":{"value":3480,"currency":"USD","value_usd":3480},"apc_paid":null,"fwci":4.5538,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.95118174,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"62","issue":"8","first_page":"2892","last_page":"2898"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","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/T10374","display_name":"Advanced Graph Theory Research","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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9819999933242798,"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":0.9706000089645386,"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":0.8835815191268921},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8585467338562012},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.8297555446624756},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.8222691416740417},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6924474239349365},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6020926237106323},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4894005358219147},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.46123242378234863},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.45751211047172546},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3686525225639343}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8835815191268921},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8585467338562012},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.8297555446624756},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.8222691416740417},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6924474239349365},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6020926237106323},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4894005358219147},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.46123242378234863},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.45751211047172546},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3686525225639343},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"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:10.1016/j.camwa.2011.07.059","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.camwa.2011.07.059","pdf_url":null,"source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Mathematics with Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5199999809265137,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1979496890","https://openalex.org/W1984850030","https://openalex.org/W1986178710","https://openalex.org/W1991601643","https://openalex.org/W1996406204","https://openalex.org/W2000580348","https://openalex.org/W2011039300","https://openalex.org/W2015983146","https://openalex.org/W2018960846","https://openalex.org/W2053482026","https://openalex.org/W2067264828","https://openalex.org/W2070054399","https://openalex.org/W2084889638","https://openalex.org/W2084981300","https://openalex.org/W2086400760","https://openalex.org/W2103411036","https://openalex.org/W2263032486","https://openalex.org/W2319043422","https://openalex.org/W2741996076","https://openalex.org/W4285719527","https://openalex.org/W4300303686","https://openalex.org/W6741928319"],"related_works":["https://openalex.org/W2794522194","https://openalex.org/W2963404550","https://openalex.org/W30750922","https://openalex.org/W2033190383","https://openalex.org/W4235356280","https://openalex.org/W4299822763","https://openalex.org/W2339280209","https://openalex.org/W2763279932","https://openalex.org/W2612157706","https://openalex.org/W4283726592"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":13}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}