{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:33:57Z","timestamp":1753882437328,"version":"3.41.2"},"reference-count":16,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2022,7]]},"abstract":"<jats:p> For any integer [Formula: see text], a minus total [Formula: see text]-dominating function is a function [Formula: see text] satisfying [Formula: see text] for every [Formula: see text], where [Formula: see text]. The minimum of the values of [Formula: see text], taken over all minus total [Formula: see text]-dominating functions [Formula: see text], is called the minus total [Formula: see text]-domination number and is denoted by [Formula: see text]. In this paper, we initiate the study of minus total [Formula: see text]-domination in graphs, and we present different sharp bounds on [Formula: see text]. In addition, we determine the minus total [Formula: see text]-domination number of some classes of graphs. Some of our results are extensions of known properties of the minus total domination number [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s1793830921501500","type":"journal-article","created":{"date-parts":[[2021,6,22]],"date-time":"2021-06-22T13:44:30Z","timestamp":1624369470000},"source":"Crossref","is-referenced-by-count":1,"title":["The minus total k-domination numbers in graphs"],"prefix":"10.1142","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1047-1490","authenticated-orcid":false,"given":"Jonecis","family":"Dayap","sequence":"first","affiliation":[{"name":"Department of Mathematics and Sciences, University of San Jose-Recoletos, Cebu, Philippines"}]},{"given":"Nasrin","family":"Dehgardi","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, Sirjan University of Technology, Sirjan, I. R. Iran"}]},{"given":"Leila","family":"Asgharsharghi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I. R. Iran"}]},{"given":"Seyed Mahmoud","family":"Sheikholeslami","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I. R. Iran"}]}],"member":"219","published-online":{"date-parts":[[2021,6,21]]},"reference":[{"key":"S1793830921501500BIB001","first-page":"149","volume":"1","author":"Atapour M.","year":"2016","journal-title":"Commun. Comb. Optim."},{"key":"S1793830921501500BIB002","first-page":"15","volume":"1","author":"Dehgardi N.","year":"2016","journal-title":"Commun. Comb. 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