StrongSplit Strong Dominating Sets And Total Bondage number of IG&CAG

Let I = {I1 I2 I3 ….. Ik} be an interval family where each Ii is an interval on the real line and Ii = [ai bi] for i = 1 2 3 … k. Here ai is called the left end point and bi is called the right end point. Without loss of generality one can assume that all end points of the intervals are distinct numbers between 1 and 2k. The intervals are named in the increasing order of their right end points. The graph G (V E) is an interval graph if there is one-to-one correspondence between the vertex set V and the interval family I. Two vertices of G are joined by an edge if and only if their corresponding intervals in I intersect. That is if Ii= [ai bi] and Ij=[aj bj] then Ii and Ij will intersect if ai