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2020•AIP conference proceedingsRequires access

Topological descriptors for product of complete graphs

K. Rajam, S. Monolisa, U. Mary

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Abstract

In this paper we study some degree based topological descriptors namely Randic index, General Randic index, Modified Randic index, Arithmetic Geometric index, Geometric Arithmetic index, Inverse sum index, Sum connectivity index, Forgotten topological index, Symmetric division degree index for corona, Cartesian and lexicographical products of complete graphs of order n and m. These graphical invariant is a number related to a graph which is structurally invariant and in chemical graph theory they are also known as topological indices.

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What this paper is about

In this paper we study some degree based topological descriptors namely Randic index, General Randic index, Modified Randic index, Arithmetic Geometric index, Geometric Arithmetic index, Inverse sum index, Sum connectivity index, Forgotten topological index, Symmetric division degree index for corona, Cartesian and lexicographical products of complete graphs of order n and m. These graphical invariant is a number related to a graph which is structurally invariant and in chemical graph theory they are also known as topological indices.

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Available abstract

In this paper we study some degree based topological descriptors namely Randic index, General Randic index, Modified Randic index, Arithmetic Geometric index, Geometric Arithmetic index, Inverse sum index, Sum connectivity index, Forgotten topological index, Symmetric division degree index for corona, Cartesian and lexicographical products of complete graphs of order n and m. These graphical invariant is a number related to a graph which is structurally invariant and in chemical graph theory they are also known as topological indices.

Key concepts: Lexicographical order, Topological index, Invariant (physics), Mathematics, Cartesian product, Connectivity, Graph, Inverse

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