Title of article :
Stability of Inverse Pitchfork Domination
Author/Authors :
Abdlhusein, Mohammed A. Department of Mathematics - College of Education for Pure Sciences - University of Thi-Qar, Thi-Qar, Iraq
Abstract :
There are few papers deals with stability of the inverse domination number in graphs by adding
new edge to the graph or removing edge or vertex. Before this type of study, we need to know the
stability of the domination number, then check the stability of the inverse domination. In this paper,
the inverse pitchfork domination number 1pf (G) is studied to be changing or not after adding or
removing edge or removing vertex. Some conditions are putted on the graph to be affected or not
with several results and examples.
Keywords :
dominating set , pitchfork domination , inverse pitchfork domination
Journal title :
International Journal of Nonlinear Analysis and Applications
