2019AIP conference proceedingsRequires access

Wiener type indices of some composite graphs

G. Sharmiladevi, V. Kaladevi

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Abstract

The Wiener index of a connected graph G is defined as W(G)=2_1∑υ,ν∈V(G)dG(υ,ν) with the summation going over all pairs of distinct vertices of G. In this paper, the Wiener type indices of the graph, Mycielskian graph, double graph, sun graph and generalized hierarchical product of two graphs are compunted.

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What this paper is about

The Wiener index of a connected graph G is defined as W(G)=2_1∑υ,ν∈V(G)dG(υ,ν) with the summation going over all pairs of distinct vertices of G. In this paper, the Wiener type indices of the graph, Mycielskian graph, double graph, sun graph and generalized hierarchical product of two graphs are compunted.

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Available abstract

The Wiener index of a connected graph G is defined as W(G)=2_1∑υ,ν∈V(G)dG(υ,ν) with the summation going over all pairs of distinct vertices of G. In this paper, the Wiener type indices of the graph, Mycielskian graph, double graph, sun graph and generalized hierarchical product of two graphs are compunted.

Key concepts: Wiener index, Combinatorics, Mathematics, Graph, Line graph, Discrete mathematics

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