Status Connectivity Indices of Middle graph

Abstract

Topological index is sometimes also known as graph theoretic index, is a numerical invariant of a graph, the topological indices are classified on degree and distance based concepts. The status σ(u) of a vertex u ∈ V (G) is defined as the sum of its distances between each other vertex in V(G) of the graph G. Ramane and Yalnaik defined the distance based topological indices such as first and second status connectivity indices. In this article bounds for the first and second status connectivity indices of middle graph of a graph are established and further status connectivity indices of middle graph of certain graphs are computed.

Keywords

• middle graph
• status connectivity indices
• sunlet graph
• tree.