{"id":"https://openalex.org/W7127922971","doi":"https://doi.org/10.7151/dmgt.2616","title":"The Roman domatic problem in graphs and digraphs II: A survey","display_name":"The Roman domatic problem in graphs and digraphs II: A survey","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7127922971","doi":"https://doi.org/10.7151/dmgt.2616"},"language":"en","primary_location":{"id":"doi:10.7151/dmgt.2616","doi":"https://doi.org/10.7151/dmgt.2616","is_oa":true,"landing_page_url":"https://doi.org/10.7151/dmgt.2616","pdf_url":"https://www.dmgt.uz.zgora.pl/publish/pdf.php?doi=2616","source":{"id":"https://openalex.org/S2738357781","display_name":"Discussiones Mathematicae Graph Theory","issn_l":"1234-3099","issn":["1234-3099","2083-5892"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discussiones Mathematicae Graph Theory","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.dmgt.uz.zgora.pl/publish/pdf.php?doi=2616","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008747635","display_name":"Mustapha Chellali","orcid":"https://orcid.org/0000-0001-5231-6195","observed_orcids":["https://orcid.org/0000-0001-5231-6195"]},"institutions":[{"id":"https://openalex.org/I83332908","display_name":"University of Blida","ror":"https://ror.org/03g41pw14","country_code":"DZ","type":"education","lineage":["https://openalex.org/I83332908"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Mustapha Chellali","raw_affiliation_strings":["LAMDA-RO Laboratory , Department of Mathematics University of Blida B.P. 270 , Blida , Algeria"],"raw_orcid":"https://orcid.org/0000-0001-5231-6195","affiliations":[{"raw_affiliation_string":"LAMDA-RO Laboratory , Department of Mathematics University of Blida B.P. 270 , Blida , Algeria","institution_ids":["https://openalex.org/I83332908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047381769","display_name":"Nader Jafari Rad","orcid":"https://orcid.org/0000-0001-7406-1859","observed_orcids":["https://orcid.org/0000-0001-7406-1859"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nader Jafari Rad","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7406-1859","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023197041","display_name":"Seyed Mahmoud Sheikholeslami","orcid":"https://orcid.org/0000-0003-2298-4744","observed_orcids":["https://orcid.org/0000-0003-2298-4744"]},"institutions":[{"id":"https://openalex.org/I51301133","display_name":"Azarbaijan Shahid Madani University","ror":"https://ror.org/05pg2cw06","country_code":"IR","type":"education","lineage":["https://openalex.org/I51301133"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Seyed Mahmoud Sheikholeslami","raw_affiliation_strings":["Department of Mathematics Azarbaijan Shahid Madani University Tabriz , I.R. Iran"],"raw_orcid":"https://orcid.org/0000-0003-2298-4744","affiliations":[{"raw_affiliation_string":"Department of Mathematics Azarbaijan Shahid Madani University Tabriz , I.R. Iran","institution_ids":["https://openalex.org/I51301133"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036519893","display_name":"Lutz Volkmann","orcid":"https://orcid.org/0000-0003-3496-277X","observed_orcids":["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":["RWTH Aachen University 52056 Aachen , Germany"],"raw_orcid":"https://orcid.org/0000-0003-3496-277X","affiliations":[{"raw_affiliation_string":"RWTH Aachen University 52056 Aachen , Germany","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.401,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.80150273,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"46","issue":"2","first_page":"527","last_page":"527"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9570000171661377,"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":0.9570000171661377,"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":0.03629999980330467,"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":0.002099999925121665,"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/roman-domination","display_name":"Roman domination","score":0.7519999742507935},{"id":"https://openalex.org/keywords/directed-graphs","display_name":"directed graphs","score":0.8199999928474426},{"id":"https://openalex.org/keywords/domination-in-graphs","display_name":"graph domination","score":0.652999997138977}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.857200026512146},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7897999882698059},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3707999885082245},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.34769999980926514},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.3027999997138977},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.24199999868869781},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.22519999742507935},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.2198999971151352},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.21690000593662262},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.20280000567436218}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.7151/dmgt.2616","doi":"https://doi.org/10.7151/dmgt.2616","is_oa":true,"landing_page_url":"https://doi.org/10.7151/dmgt.2616","pdf_url":"https://www.dmgt.uz.zgora.pl/publish/pdf.php?doi=2616","source":{"id":"https://openalex.org/S2738357781","display_name":"Discussiones Mathematicae Graph Theory","issn_l":"1234-3099","issn":["1234-3099","2083-5892"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discussiones Mathematicae Graph Theory","raw_type":"journal-article"},{"id":"pmh:oai:publications.rwth-aachen.de:1028791","doi":null,"is_oa":true,"landing_page_url":"https://publications.rwth-aachen.de/record/1028791","pdf_url":"https://publications.rwth-aachen.de/record/1028791/files/1028791.pdf","source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"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":"Discussiones mathematicae / Graph theory 46(2), 527-554 (2026). doi:10.7151/dmgt.2616","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:b2ce28da05974e069cec2d2ab794ff2d","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/b2ce28da05974e069cec2d2ab794ff2d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discussiones Mathematicae Graph Theory, Vol 46, Iss 2, p 527 (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.7151/dmgt.2616","doi":"https://doi.org/10.7151/dmgt.2616","is_oa":true,"landing_page_url":"https://doi.org/10.7151/dmgt.2616","pdf_url":"https://www.dmgt.uz.zgora.pl/publish/pdf.php?doi=2616","source":{"id":"https://openalex.org/S2738357781","display_name":"Discussiones Mathematicae Graph Theory","issn_l":"1234-3099","issn":["1234-3099","2083-5892"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discussiones Mathematicae Graph Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7127922971.pdf","grobid_xml":"https://content.openalex.org/works/W7127922971.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W413798046","https://openalex.org/W1493071618","https://openalex.org/W1984228559","https://openalex.org/W2019262465","https://openalex.org/W2026300475","https://openalex.org/W2028333952","https://openalex.org/W2042228018","https://openalex.org/W2058946695","https://openalex.org/W2069503791","https://openalex.org/W2077686450","https://openalex.org/W2088433037","https://openalex.org/W2140596247","https://openalex.org/W2149847352","https://openalex.org/W2202070217","https://openalex.org/W2346913169","https://openalex.org/W2470067380","https://openalex.org/W2552272881","https://openalex.org/W2594921318","https://openalex.org/W2784546446","https://openalex.org/W2888092176","https://openalex.org/W2904463651","https://openalex.org/W2926139741","https://openalex.org/W2989759640","https://openalex.org/W3003294932","https://openalex.org/W3008183860","https://openalex.org/W3011796432","https://openalex.org/W3020124305","https://openalex.org/W3088905041","https://openalex.org/W3097958908","https://openalex.org/W3156474314","https://openalex.org/W3167774038","https://openalex.org/W3183439174","https://openalex.org/W3195372860","https://openalex.org/W4214483257","https://openalex.org/W4214937823","https://openalex.org/W4234036518","https://openalex.org/W4248338579","https://openalex.org/W4293109815","https://openalex.org/W4323687938","https://openalex.org/W4385382939","https://openalex.org/W4390858190","https://openalex.org/W4402811938","https://openalex.org/W6925530984","https://openalex.org/W6962897397"],"related_works":["https://openalex.org/W3011796432","https://openalex.org/W6906706711","https://openalex.org/W3097958908","https://openalex.org/W2892661457","https://openalex.org/W7046420749","https://openalex.org/W7015106805","https://openalex.org/W2994540344","https://openalex.org/W6997101811","https://openalex.org/W2917377699","https://openalex.org/W3123914554"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3,21],"continue":[4],"to":[5],"survey":[6,31],"results":[7,24],"on":[8],"the":[9,30],"Roman":[10],"domatic":[11],"problem":[12],"and":[13,19],"its":[14],"variants":[15],"in":[16,29],"both":[17],"graphs":[18],"digraphs.Mainly":[20],"will":[22],"present":[23],"which":[25],"are":[26],"not":[27],"contained":[28],"article":[32],"M.":[33],"Chellali,":[34],"N.":[35]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-02-07T00:00:00"}