journal-of-discrete-mathematical-sciences-and-cryptography Journal of Discrete Mathematical Sciences and Cryptography 2169-0065 0972-0529 Taru Publications 10.47974/JDMSC-1828 Double captive domination number (DCDN) Alrikabi Zainab Yasir Department of Mathematics, Faculty of Education for Girls, University of Kufa, Najaf, Iraq Omran Ahmed A. Department of Mathematics, College of Education for Pure Science, University of Babylon, Babylon, Iraq Al-Hwaeer Hassan Jiad Department of Mathematics and Computer Application, College of Sciences, University of Al-Nahrain, Baghdad, Iraq 27 5 1467 1471 26 08 2024

Throughout this work, a new definition of domination is presented which is called The Double Captive Domination Number (DCDS). Also, some of the properties of this definition are been proved. Especially, to some certain graphs and some operation of two graphs.

 Double captive domination number Double captive dominating set Complement access open retracted no