COMPUTING CERTAIN TOPOLOGICAL INDICES OF SOME DOMINATING GRAPH OPERATIONS OF KRAGUJEVAC TREES
B. BASAVANAGOUD *
Department of Mathematics, Karnatak University, Dharwad, India.
Department of Mathematics, Government Engineering College, Haveri, India.
*Author to whom correspondence should be addressed.
In the mathematical literature several transformation graphs have been considered and constructed. Let G denote the set of simple undirected graphs. Various important results in graph theory have been obtained by considering some functions F : G → G or Fs : G1× …× Gs → G called transformations or operations (here each Gi = G ) and by establishing how these operations affect certain properties or parameters of graphs. The same concept of transformation has been applied to dominating sets and defined a variety of dominating transformation(d-transformation) graphs. In this paper we compute the first Zagreb index, coindex and forgotten index of certain graph operations.
Keywords: Degree, zagreb indices, zagreb coindices, forgotten index, graph operations