{"id":"https://openalex.org/W2892252398","doi":"https://doi.org/10.1051/ro/2018074","title":"Domination integrity of some graph classes","display_name":"Domination integrity of some graph classes","publication_year":2018,"publication_date":"2018-09-06","ids":{"openalex":"https://openalex.org/W2892252398","doi":"https://doi.org/10.1051/ro/2018074","mag":"2892252398"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2018074","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2018074","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","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/A5010957100","display_name":"Ay\u015fe BE\u015e\u0130R\u0130K","orcid":"https://orcid.org/0000-0002-3980-196X"},"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":false,"raw_author_name":"Ayse Besirik","raw_affiliation_strings":["Ege University Faculty of Science, Department of Mathematics, 35100 Bornova Izmir, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-3980-196X","affiliations":[{"raw_affiliation_string":"Ege University Faculty of Science, Department of Mathematics, 35100 Bornova Izmir, Turkey","institution_ids":["https://openalex.org/I41641357"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040260755","display_name":"Elgin K\u0131l\u0131\u00e7","orcid":"https://orcid.org/0000-0002-1074-5589"},"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":"Elgin Kilic","raw_affiliation_strings":["Ege University Faculty of Science, Department of Mathematics, 35100 Bornova Izmir, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-1074-5589","affiliations":[{"raw_affiliation_string":"Ege University Faculty of Science, Department of Mathematics, 35100 Bornova Izmir, Turkey","institution_ids":["https://openalex.org/I41641357"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040260755"],"corresponding_institution_ids":["https://openalex.org/I41641357"],"apc_list":null,"apc_paid":null,"fwci":0.206,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56095427,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"53","issue":"5","first_page":"1721","last_page":"1728"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994000196456909,"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":0.9994000196456909,"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/T11476","display_name":"Graph theory and applications","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.5421079993247986},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.5105329751968384},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5084025263786316},{"id":"https://openalex.org/keywords/butterfly-graph","display_name":"Butterfly graph","score":0.4845401346683502},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4593660235404968},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4378213882446289},{"id":"https://openalex.org/keywords/windmill-graph","display_name":"Windmill graph","score":0.43078309297561646},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42863720655441284},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3966860771179199},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.3552094101905823}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5421079993247986},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.5105329751968384},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5084025263786316},{"id":"https://openalex.org/C18819970","wikidata":"https://www.wikidata.org/wiki/Q3035340","display_name":"Butterfly graph","level":5,"score":0.4845401346683502},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4593660235404968},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4378213882446289},{"id":"https://openalex.org/C73380178","wikidata":"https://www.wikidata.org/wiki/Q8024306","display_name":"Windmill graph","level":5,"score":0.43078309297561646},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42863720655441284},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3966860771179199},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.3552094101905823}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ro/2018074","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2018074","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:numdam.org:RO_2019__53_5_1721_0","is_oa":false,"landing_page_url":"https://www.numdam.org/articles/10.1051/ro/2018074/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1493071618","https://openalex.org/W1591736593","https://openalex.org/W1874529658","https://openalex.org/W1973665112","https://openalex.org/W1978237591","https://openalex.org/W1993955016","https://openalex.org/W2002753425","https://openalex.org/W2028394771","https://openalex.org/W2183140390","https://openalex.org/W2186661868","https://openalex.org/W3163177305"],"related_works":["https://openalex.org/W1999761254","https://openalex.org/W3028426988","https://openalex.org/W2913613375","https://openalex.org/W2389503661","https://openalex.org/W2048112267","https://openalex.org/W2401187750","https://openalex.org/W2074881734","https://openalex.org/W2560496754","https://openalex.org/W3030427365","https://openalex.org/W2065459306"],"abstract_inverted_index":{"The":[0,116],"stability":[1],"of":[2,23,40,48,60,98,102,113,119,139,151,173],"a":[3,7,34,41,99,110,126],"communication":[4],"network":[5,11,24,186],"has":[6],"great":[8],"importance":[9],"in":[10,28,55,62,185],"design.":[12,187],"There":[13],"are":[14,180],"several":[15],"vulnerability":[16,39,46,61],"measures":[17],"used":[18,182],"to":[19,25,36],"determine":[20,147],"the":[21,26,38,96,131,136,148],"resistance":[22],"disruption":[27],"this":[29],"sense.":[30],"Domination":[31],"theory":[32],"provides":[33],"model":[35],"measure":[37,47,127],"graph":[42,103,123,133,140,153,159,167,172,183],"network.":[43],"A":[44],"new":[45],"domination":[49,117,149],"integrity":[50,118,150],"was":[51],"introduced":[52],"by":[53],"Sundareswaran":[54],"his":[56],"Ph.D.":[57],"thesis":[58],"(Parameters":[59],"graphs":[63],"(2010))":[64],"and":[65,107,134,176],"defined":[66],"as":[67],"DI(":[68],"G":[69,78,86,91,104,114],")":[70,94],"=":[71],"min{|":[72],"S":[73,80,82,93,106,108,163],"|":[74],"+":[75],"m":[76,89],"(":[77,85,90],"\u2212":[79,92,105],"):":[81],"\u2208":[83],"V":[84],")}":[87],"where":[88],"denotes":[95],"order":[97],"largest":[100],"component":[101],"is":[109,124],"dominating":[111],"set":[112],".":[115],"an":[120],"undirected":[121],"connected":[122],"such":[125],"that":[128],"works":[129],"on":[130],"whole":[132],"also":[135],"remaining":[137],"components":[138],"after":[141],"any":[142],"break":[143],"down.":[144],"Here":[145],"we":[146],"wheel":[152],"W":[154],"1,":[155],"n":[156,161,169,175,178],",":[157,162,165,170],"Ladder":[158],"L":[160],"m,n":[164],"Friendship":[166],"F":[168],"Thorn":[171],"P":[174],"C":[177],"which":[179],"commonly":[181],"models":[184]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-07T06:14:10.401900","created_date":"2025-10-10T00:00:00"}
