Timmy Tomy Thalavayalil

Domination in Exact Deg-Centric Graphs

The exact deg-centric graph associated with a simple, connected graph G, denoted by $$G_{ed}$$ , is defined by $$V(G_{ed}) = V(G)$$ and $$E(G_{ed}) = \{v_i v_j: d_G(v_i, v_j) = \deg _G(v_i)\}$$ . In this paper, we undertake a systematic investigation of domination in exact deg-ce...