Stability of Inverse Pitchfork Domination

Author(s):

Mohammed A. Abdlhusein

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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 γ −1 pf (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

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021
Pages:
1009 to 1016
https://magiran.com/p2261273