Status Connectivity Indices of Middle graph

Roopa Subhas Naikar

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.

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References


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DOI: http://dx.doi.org/10.23755/rm.v51i0.1471

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.