{"id":"https://openalex.org/W4282836728","doi":"https://doi.org/10.1142/s179383092250121x","title":"Twin signed double Roman domination numbers in directed graphs","display_name":"Twin signed double Roman domination numbers in directed graphs","publication_year":2022,"publication_date":"2022-06-14","ids":{"openalex":"https://openalex.org/W4282836728","doi":"https://doi.org/10.1142/s179383092250121x"},"language":"en","primary_location":{"id":"doi:10.1142/s179383092250121x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383092250121x","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/A5072286271","display_name":"A. Mahmoodi","orcid":"https://orcid.org/0000-0002-1943-5552"},"institutions":[{"id":"https://openalex.org/I55547365","display_name":"Payame Noor University","ror":"https://ror.org/031699d98","country_code":"IR","type":"education","lineage":["https://openalex.org/I55547365"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Akram Mahmoodi","raw_affiliation_strings":["Department of Mathematics, Payame Noor University, I. R. Iran"],"raw_orcid":"https://orcid.org/0000-0002-1943-5552","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Payame Noor University, I. R. Iran","institution_ids":["https://openalex.org/I55547365"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080655981","display_name":"Maryam Atapour","orcid":"https://orcid.org/0000-0001-7561-5489"},"institutions":[{"id":"https://openalex.org/I1300409581","display_name":"University of Bonab","ror":"https://ror.org/01app8660","country_code":"IR","type":"education","lineage":["https://openalex.org/I1300409581"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Maryam Atapour","raw_affiliation_strings":["Department of Mathematics and Computer Sciences, Faculty of Basic Sciences, University of Bonab, Bonab, I. R. Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Sciences, Faculty of Basic Sciences, University of Bonab, Bonab, I. R. Iran","institution_ids":["https://openalex.org/I1300409581"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022382196","display_name":"Sattar Aliyar","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":"Sattar Aliyar","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"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072286271"],"corresponding_institution_ids":["https://openalex.org/I55547365"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09002654,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"05","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9962000250816345,"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":0.9962000250816345,"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":0.9023000001907349,"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/combinatorics","display_name":"Combinatorics","score":0.7470009326934814},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5634956955909729},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5340795516967773},{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.4166228175163269},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.40111470222473145}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7470009326934814},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5634956955909729},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5340795516967773},{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.4166228175163269},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.40111470222473145}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s179383092250121x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383092250121x","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1978524950","https://openalex.org/W2025942997","https://openalex.org/W2030378184","https://openalex.org/W2052251789","https://openalex.org/W2552272881","https://openalex.org/W2732151932","https://openalex.org/W2985302665","https://openalex.org/W3003687930","https://openalex.org/W3141776272"],"related_works":["https://openalex.org/W2038088825","https://openalex.org/W1975203667","https://openalex.org/W2370328482","https://openalex.org/W4287882779","https://openalex.org/W4378505325","https://openalex.org/W2082494488","https://openalex.org/W2998116189","https://openalex.org/W2054349495","https://openalex.org/W2081358954","https://openalex.org/W2554461497"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,14,31,35,51,55,71,75,81,85,98,102,107,111,118,126,130,140,144,155,179],"see":[2,15,32,36,52,56,72,76,82,86,99,103,108,112,119,127,131,141,145,156,180],"text]":[3,16,33,37,53,73,77,83,87,100,104,109,113,128,142,146],"be":[4],"a":[5,19,44,64,124,152],"finite":[6],"simple":[7],"directed":[8],"graph":[9],"(shortly":[10],"digraph).":[11],"A":[12],"function":[13,25],"is":[17,88,129,147],"called":[18],"twin":[20,134,166],"signed":[21,135,167],"double":[22,136,168],"Roman":[23,137,169],"dominating":[24],"(TSDRDF)":[26],"if":[27],"(i)":[28],"every":[29,79],"vertex":[30,80,117],"with":[34,54,74,84,101],"has":[38],"at":[39,47,59,67,91],"least":[40,48,60,68,92],"two":[41,61],"in-neighbor":[42,50,94],"assigned":[43,63],"2":[45,65],"or":[46,66],"an":[49,69,93,96],"text],":[57,132],"also":[58],"out-neighbor":[62,70,97],"(ii)":[78],"adjacent":[89],"to":[90],"and":[95,105,110,173],"(iii)":[106],"hold":[114],"for":[115,178],"any":[116],"text].":[120,157,181],"The":[121],"weight":[122,150],"of":[123,143,151,165],"TSDRDF":[125,153],"the":[133,148,163],"domination":[138,170],"number":[139],"minimum":[149],"on":[154],"In":[158],"this":[159],"paper,":[160],"we":[161,174],"initiate":[162],"study":[164],"in":[171],"digraphs":[172],"present":[175],"some":[176],"bounds":[177]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
