{"id":"https://openalex.org/W3175188597","doi":"https://doi.org/10.1142/s1793830921501500","title":"The minus total k-domination numbers in graphs","display_name":"The minus total k-domination numbers in graphs","publication_year":2021,"publication_date":"2021-06-21","ids":{"openalex":"https://openalex.org/W3175188597","doi":"https://doi.org/10.1142/s1793830921501500","mag":"3175188597"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830921501500","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921501500","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/A5014210417","display_name":"Jonecis Dayap","orcid":"https://orcid.org/0000-0003-1047-1490"},"institutions":[{"id":"https://openalex.org/I102822971","display_name":"University of San Jose\u2013Recoletos","ror":"https://ror.org/04jmbkr13","country_code":"PH","type":"education","lineage":["https://openalex.org/I102822971"]}],"countries":["PH"],"is_corresponding":true,"raw_author_name":"Jonecis Dayap","raw_affiliation_strings":["Department of Mathematics and Sciences, University of San Jose-Recoletos, Cebu, Philippines"],"raw_orcid":"https://orcid.org/0000-0003-1047-1490","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Sciences, University of San Jose-Recoletos, Cebu, Philippines","institution_ids":["https://openalex.org/I102822971"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076416072","display_name":"Nasrin Dehgardi","orcid":"https://orcid.org/0000-0001-8214-6000"},"institutions":[{"id":"https://openalex.org/I170905427","display_name":"Sirjan University of Technology","ror":"https://ror.org/023tdry64","country_code":"IR","type":"education","lineage":["https://openalex.org/I170905427"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Nasrin Dehgardi","raw_affiliation_strings":["Department of Mathematics and Computer Science, Sirjan University of Technology, Sirjan, I. R. Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Sirjan University of Technology, Sirjan, I. R. Iran","institution_ids":["https://openalex.org/I170905427"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021480513","display_name":"Leila Asgharsharghi","orcid":"https://orcid.org/0000-0003-3835-2768"},"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":"Leila Asgharsharghi","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":"last","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":"Seyed Mahmoud Sheikholeslami","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":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5014210417"],"corresponding_institution_ids":["https://openalex.org/I102822971"],"apc_list":null,"apc_paid":null,"fwci":0.1514,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.50981689,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"14","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":0.9997000098228455,"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":0.9997000098228455,"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":0.9732000231742859,"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":0.972599983215332,"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":0.7536247968673706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6918302774429321},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.6187246441841125},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5099891424179077},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5089190006256104},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.25791674852371216},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07718038558959961},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.05002745985984802}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7536247968673706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6918302774429321},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.6187246441841125},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5099891424179077},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5089190006256104},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.25791674852371216},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07718038558959961},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.05002745985984802},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830921501500","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921501500","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":13,"referenced_works":["https://openalex.org/W1493071618","https://openalex.org/W1581552469","https://openalex.org/W1963947324","https://openalex.org/W1974622345","https://openalex.org/W1995135963","https://openalex.org/W2020597434","https://openalex.org/W2043805568","https://openalex.org/W2057180123","https://openalex.org/W2068070929","https://openalex.org/W2078037585","https://openalex.org/W2083981623","https://openalex.org/W2618478183","https://openalex.org/W3141776272"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W1976691234","https://openalex.org/W2963176699","https://openalex.org/W2888180870","https://openalex.org/W4205905997","https://openalex.org/W2986400025"],"abstract_inverted_index":{"For":[0],"any":[1],"integer":[2],"[Formula:":[3,9,16,20,25,29,38,46,50,58,66,79,91,101,125],"see":[4,10,17,21,26,30,39,47,51,59,67,80,92,102,126],"text],":[5,27,40,52],"a":[6,14],"minus":[7,44,56,77,99,121],"total":[8,45,57,78,100,122],"text]-dominating":[11,48],"function":[12,15],"is":[13,53,63],"text]":[18,22],"satisfying":[19],"for":[23],"every":[24],"where":[28],"text].":[31,68,93,127],"The":[32],"minimum":[33],"of":[34,37,76,105,108,111,116,119],"the":[35,55,74,98,120],"values":[36],"taken":[41],"over":[42],"all":[43],"functions":[49],"called":[54],"text]-domination":[60,81,103],"number":[61,104,124],"and":[62,84],"denoted":[64],"by":[65],"In":[69,94],"this":[70],"paper,":[71],"we":[72,85,96],"initiate":[73],"study":[75],"in":[82],"graphs,":[83],"present":[86],"different":[87],"sharp":[88],"bounds":[89],"on":[90],"addition,":[95],"determine":[97],"some":[106],"classes":[107],"graphs.":[109],"Some":[110],"our":[112],"results":[113],"are":[114],"extensions":[115],"known":[117],"properties":[118],"domination":[123]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}