{"id":"https://openalex.org/W2985636424","doi":"https://doi.org/10.1142/s1793830920500135","title":"Bounds on the signed total Roman 2-domination in graphs","display_name":"Bounds on the signed total Roman 2-domination in graphs","publication_year":2019,"publication_date":"2019-11-18","ids":{"openalex":"https://openalex.org/W2985636424","doi":"https://doi.org/10.1142/s1793830920500135","mag":"2985636424"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830920500135","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500135","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and 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/A5005154718","display_name":"R. Khoeilar","orcid":"https://orcid.org/0000-0002-2981-3625"},"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":true,"raw_author_name":"R. Khoeilar","raw_affiliation_strings":["Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I. R. Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I. R. Iran","institution_ids":["https://openalex.org/I51301133"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016031259","display_name":"L. Shahbazi","orcid":null},"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":"L. Shahbazi","raw_affiliation_strings":["Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I. R. Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I. R. Iran","institution_ids":["https://openalex.org/I51301133"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023197041","display_name":"Seyed Mahmoud Sheikholeslami","orcid":"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":"S. M. 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/A5012636371","display_name":"Zehui Shao","orcid":"https://orcid.org/0000-0003-0764-4135"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zehui Shao","raw_affiliation_strings":["Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, P. R. China","institution_ids":["https://openalex.org/I37987034"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5005154718"],"corresponding_institution_ids":["https://openalex.org/I51301133"],"apc_list":null,"apc_paid":null,"fwci":0.5999,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72036182,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"12","issue":"01","first_page":"2050013","last_page":"2050013"},"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":0.9965000152587891,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9866999983787537,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7607331275939941},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.739149272441864},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6310320496559143},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.48881861567497253},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4659128487110138}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7607331275939941},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.739149272441864},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6310320496559143},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.48881861567497253},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4659128487110138}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830920500135","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500135","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and Applications","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":4,"referenced_works":["https://openalex.org/W413798046","https://openalex.org/W2470067380","https://openalex.org/W2594921318","https://openalex.org/W2784546446"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2963404550","https://openalex.org/W2794522194","https://openalex.org/W1976691234","https://openalex.org/W2963176699","https://openalex.org/W2888180870","https://openalex.org/W30750922","https://openalex.org/W4205905997","https://openalex.org/W4378234127","https://openalex.org/W3111310291"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,8,20,27,37,43,51,55,65,69,74,81,91,95,112,116,120],"see":[2,9,21,28,32,38,44,52,56,66,70,75,82,89,92,96,105,113,117,121],"text]":[3,10,39,45,53,57,67,71,76,93,97,118],"be":[4,11],"an":[5,87,103],"integer":[6],"and":[7,14,72,98],"a":[12,35,41],"simple":[13],"finite":[15],"graph":[16,36],"with":[17,54,68],"vertex":[18,50,64,80],"set":[19],"text].":[22,83,122],"A":[23],"signed":[24,109,133],"total":[25,110,134],"Roman":[26,111,135],"text]-dominating":[29],"function":[30,42],"(STR[Formula:":[31],"text]DF)":[33],"on":[34,131],"is":[40,58,94,107],"such":[46],"that":[47],"(i)":[48],"every":[49],"adjacent":[59],"to":[60],"at":[61],"least":[62],"one":[63],"(ii)":[73],"holds":[77],"for":[78],"any":[79],"The":[84],"weight":[85,101],"of":[86,102,119],"STR[Formula:":[88,104],"text]DF":[90,106],"the":[99,108,132],"minimum":[100],"text]-domination":[114],"number":[115],"In":[123],"this":[124],"paper,":[125],"we":[126],"establish":[127],"some":[128],"sharp":[129],"bounds":[130],"2-domination":[136],"number.":[137]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}