{"id":"https://openalex.org/W2967082429","doi":"https://doi.org/10.1142/s0129054119500217","title":"Exponential Domination Critical and Stability in Some Graphs","display_name":"Exponential Domination Critical and Stability in Some Graphs","publication_year":2019,"publication_date":"2019-08-01","ids":{"openalex":"https://openalex.org/W2967082429","doi":"https://doi.org/10.1142/s0129054119500217","mag":"2967082429"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054119500217","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054119500217","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/20.500.12501/2979","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034630468","display_name":"Aysun Ayta\u00e7","orcid":"https://orcid.org/0000-0003-2086-8969"},"institutions":[{"id":"https://openalex.org/I41641357","display_name":"Ege University","ror":"https://ror.org/02eaafc18","country_code":"TR","type":"education","lineage":["https://openalex.org/I41641357"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Aysun Ayta\u00e7","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Ege University, Izmir 35100, Turkey"],"raw_orcid":"https://orcid.org/0000-0003-2086-8969","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Ege University, Izmir 35100, Turkey","institution_ids":["https://openalex.org/I41641357"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016840164","display_name":"Bet\u00fcl ATAY ATAKUL","orcid":"https://orcid.org/0000-0003-1964-3287"},"institutions":[{"id":"https://openalex.org/I307617284","display_name":"A\u011fr\u0131 \u0130brahim \u00c7e\u00e7en University","ror":"https://ror.org/054y2mb78","country_code":"TR","type":"education","lineage":["https://openalex.org/I307617284"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Bet\u00fcl Atay Atakul","raw_affiliation_strings":["Department of Computer Education and Instructional Technology, Faculty of Education, A\u011fr\u0131 Ibrahim \u00c7e\u00e7en University, A\u011fr\u0131 04100, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Education and Instructional Technology, Faculty of Education, A\u011fr\u0131 Ibrahim \u00c7e\u00e7en University, A\u011fr\u0131 04100, Turkey","institution_ids":["https://openalex.org/I307617284"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034630468"],"corresponding_institution_ids":["https://openalex.org/I41641357"],"apc_list":null,"apc_paid":null,"fwci":1.1998,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.8154329,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"30","issue":"05","first_page":"781","last_page":"791"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9983999729156494,"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":0.9983999729156494,"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/T11031","display_name":"Game Theory and Applications","score":0.9409000277519226,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7654592990875244},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7236261963844299},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6345494985580444},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.6083964109420776},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.5814337730407715},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48392659425735474},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.46491390466690063},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4425487518310547},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4242521822452545},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08185657858848572},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.07242903113365173},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.061278343200683594}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7654592990875244},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7236261963844299},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6345494985580444},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.6083964109420776},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.5814337730407715},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48392659425735474},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.46491390466690063},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4425487518310547},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4242521822452545},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08185657858848572},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.07242903113365173},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.061278343200683594},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0129054119500217","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054119500217","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:acikerisim.agri.edu.tr:20.500.12501/2979","is_oa":true,"landing_page_url":"https://hdl.handle.net/20.500.12501/2979","pdf_url":null,"source":{"id":"https://openalex.org/S7407055365","display_name":"A\u011fr\u0131 \u0130brahim \u00c7e\u00e7en University Institutional Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:acikerisim.agri.edu.tr:20.500.12501/2979","is_oa":true,"landing_page_url":"https://hdl.handle.net/20.500.12501/2979","pdf_url":null,"source":{"id":"https://openalex.org/S7407055365","display_name":"A\u011fr\u0131 \u0130brahim \u00c7e\u00e7en University Institutional Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1493071618","https://openalex.org/W2098253895","https://openalex.org/W2600239574","https://openalex.org/W2767421384","https://openalex.org/W2780575849","https://openalex.org/W2788852177","https://openalex.org/W3141776272","https://openalex.org/W4213214460"],"related_works":["https://openalex.org/W4287795162","https://openalex.org/W3023069363","https://openalex.org/W4362737182","https://openalex.org/W2048256194","https://openalex.org/W4313644288","https://openalex.org/W2010333092","https://openalex.org/W2166530698","https://openalex.org/W2087307827","https://openalex.org/W2104330975","https://openalex.org/W2071807082"],"abstract_inverted_index":{"An":[0],"exponential":[1,54,66,71],"dominating":[2,67],"set":[3],"of":[4,12,34,64,84,96],"graph":[5],"[Formula:":[6,16,21,24,28,39,48,57,74,88],"see":[7,17,22,25,29,40,49,58,75,89],"text]":[8,18,30,41,50,59,76],"is":[9,31,60,100],"a":[10,35,44],"kind":[11],"distance":[13],"domination":[14,55,72],"subset":[15],"such":[19,43],"that":[20],"text],":[23,26],"where":[27],"the":[32,61],"length":[33],"shortest":[36],"path":[37,45],"in":[38,106],"if":[42],"exists,":[46],"and":[47,104],"otherwise.":[51],"The":[52,69],"minimum":[53,70],"number,":[56,73],"smallest":[62],"cardinality":[63],"an":[65],"set.":[68],"can":[77],"be":[78],"decreased":[79],"or":[80],"increased":[81],"by":[82],"removal":[83],"some":[85],"vertices":[86],"from":[87],"text].":[90],"In":[91],"this":[92,97],"paper,":[93],"we":[94],"investigate":[95],"phenomenon":[98],"which":[99],"referred":[101],"to":[102],"critical":[103],"stability":[105],"graphs.":[107]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
