International Journal of Nonlinear Analysis and Applications

Some modified types of arrow domination

Document Type : Research Paper

Authors

Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq

Abstract

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.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 1
March 2022
Pages 1451-1461
  • Receive Date: 01 September 2021
  • Revise Date: 01 October 2021
  • Accept Date: 16 October 2021