{"id":"https://openalex.org/W2147601521","doi":"https://doi.org/10.1137/080733085","title":"Roman Domination on 2-Connected Graphs","display_name":"Roman Domination on 2-Connected Graphs","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2147601521","doi":"https://doi.org/10.1137/080733085","mag":"2147601521"},"language":"en","primary_location":{"id":"doi:10.1137/080733085","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080733085","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5084900180","display_name":"Chun\u2010Hung Liu","orcid":"https://orcid.org/0000-0001-8822-9966"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chun-Hung Liu","raw_affiliation_strings":["cliu87@math.gatech.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"cliu87@math.gatech.edu#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002508116","display_name":"Gerard J. Chang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gerard J. Chang","raw_affiliation_strings":["gjchang@math.ntu.edu.tw#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"gjchang@math.ntu.edu.tw#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0599,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.91916072,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"26","issue":"1","first_page":"193","last_page":"205"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9898999929428101,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9883999824523926,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8661201000213623},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.75443434715271},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7055356502532959},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.6890898942947388},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.6613472700119019},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.648267388343811},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6131424307823181},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.5554987788200378},{"id":"https://openalex.org/keywords/minimum-weight","display_name":"Minimum weight","score":0.4730260372161865}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8661201000213623},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.75443434715271},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7055356502532959},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.6890898942947388},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.6613472700119019},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.648267388343811},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6131424307823181},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.5554987788200378},{"id":"https://openalex.org/C2778945305","wikidata":"https://www.wikidata.org/wiki/Q6865502","display_name":"Minimum weight","level":2,"score":0.4730260372161865}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/080733085","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080733085","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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":11,"referenced_works":["https://openalex.org/W1519450118","https://openalex.org/W1984228559","https://openalex.org/W1987920422","https://openalex.org/W2012379512","https://openalex.org/W2019578481","https://openalex.org/W2058946695","https://openalex.org/W2087928776","https://openalex.org/W2090249824","https://openalex.org/W2093541896","https://openalex.org/W2139312684","https://openalex.org/W4251005761"],"related_works":["https://openalex.org/W2794522194","https://openalex.org/W2963404550","https://openalex.org/W30750922","https://openalex.org/W4378234127","https://openalex.org/W72870998","https://openalex.org/W2763279932","https://openalex.org/W2339280209","https://openalex.org/W2346500824","https://openalex.org/W4299822763","https://openalex.org/W2790637388"],"abstract_inverted_index":{"A":[0],"Roman":[1,46,58],"dominating":[2,59],"function":[3,10,60],"of":[4,36,50,56,61,88,112],"a":[5,9,23,57],"graph":[6,86,110],"G":[7,51,87,111,120],"is":[8,38,52],"f$:":[11],"V(G)":[12],"\\to":[13],"\\{0,":[14],"1,":[15],"2\\}$":[16],"such":[17,29],"that":[18,30,77,100],"whenever":[19],"$f(v)=0$,":[20],"there":[21],"exists":[22],"vertex":[24],"u":[25],"adjacent":[26],"to":[27,95],"v":[28],"$f(u)":[31],"=":[32,40,124],"2$.":[33],"The":[34,45],"weight":[35,55],"f":[37],"$w(f)":[39],"\\sum_{v":[41],"\\in":[42],"V(G)}":[43],"f(v)$.":[44],"domination":[47],"number":[48],"$\\gamma_R(G)$":[49],"the":[53,96],"minimum":[54],"G.":[62],"Chambers,":[63],"Kinnersley,":[64],"Prince,":[65],"and":[66,98],"West":[67],"[SIAM":[68],"J.":[69],"Discrete":[70],"Math.,":[71],"23":[72],"(2009),":[73],"pp.":[74],"1575\u20131586]":[75],"conjectured":[76],"$\\gamma_R(G)":[78,101,123],"\\le":[79,102],"\\lceil":[80,129],"2n/3":[81,104,130],"\\rceil$":[82],"for":[83,107,121],"any":[84,108],"2-connected":[85,109,118],"n":[89,113],"vertices.":[90,114],"This":[91],"paper":[92],"gives":[93],"counterexamples":[94],"conjecture":[97],"proves":[99],"\\max\\{\\lceil":[103],"\\rceil,":[105],"23n/34\\}$":[106],"We":[115],"also":[116],"characterize":[117],"graphs":[119],"which":[122],"23n/34$":[125],"when":[126],"$23n/34":[127],">":[128],"\\rceil$.":[131]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}