University of Guilan Journal of Algebra and Related Topics 2345-3931 13 2 2025 12 01 The domination uniform subdivision number of ‎$‎G^{++-}‎$ 177 185 8199 10.22124/jart.2024.26561.1624 EN T. B. Magizha St. Xaviers Catholic College of Engineering (Autonomous), Nagercoil A. Jebitha Department of Mathematics, Holy Cross College (Autonomous), Nagercoil S. Sujitha Department of Mathematics, Holy Cross College (Autonomous) Nagercoil, Tamilnadu, India Journal Article 2024 01 23 ‎Theory of domination plays a vital role in network communications‎. ‎Different domination parameters have been studied by various mathematicians‎. ‎In this paper‎, ‎the exact value of domination uniform subdivision number of transformation graphs $G^{++-}$ of some standard graphs are obtained‎. ‎Furthermore‎, ‎the bounds of ${usd}_\gamma (G^{++-})$ for any graph $G$ are obtained‎. ‎Finally‎, ‎${sd}_ \gamma‎ - ‎$critical graph on $G^{++-}$ are characterized‎.‎ https://jart.guilan.ac.ir/article_8199_ee37a89f23fa72918d18b22b0b811c05.pdf