What to read after Recent Research On Domination Related Parameters?

In this thesis we have discussed variants of domination like vertex covering, Independent domination, K domination, K dependent set , K-dependent K domination, Total domination, Extended total domination, K-tuple domination, Total K domination, Restrained domination and Total restrained domination. We have characterized edges whose removal affects or does not affect these variants. We have also discussed changing and unchanging of these variants in terms of edge addition between two non – adjacent vertices. From history we can see that much work has been done for critical graphs but existing work is related to all edges of graph. But for application point of view sometimes we require to delete or add any particular edge. So our work is related to any particular edge but it is applicable for all graphs. When existing work for critical graphs is applicable for any edge but in some particular graph. In this way our results carry more important when any particular edge is to be focused. We have also discussed bondage number for some variants. Our results are related to relation between vertices and edges whose removal affects all these variants. Many research papers have been published for criticalness of graph with respect to vertex removal. So our results may be link between vertices and edge removal. It will insist many research scholars to do work in this direction. We believe our study will become instrumental in making the relation between edge removal and vertex removal more transparent and effectively. We hope our thesis provide row material for other research scholars of engineering field also.