Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 13 1 2022 03 01 Some modified types of arrow domination 1451 1461 5759 10.22075/ijnaa.2022.5759 EN Suha J. Radhi Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq Mohammed A. Abdlhusein Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq Ayed Elayose Hashoosh Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq Journal Article 2021 09 01 The aim of this paper is to introduce some new modified types of arrow domination by adding some conditions on the arrow dominating set or on its complement set. Co-independent arrow domination, restrained arrow domination, connected arrow domination, and complementary tree arrow domination are the main types of domination introduced here. More properties and bounds are discussed and applied to some graphs. https://ijnaa.semnan.ac.ir/article_5759_8ae38b85e75842d88d12d788f152b582.pdf