Wiener Index of Corona of Wheel Related Graphs with Wheel Graph

K. Arathi Bhat

Wiener Index of Corona of Wheel Related Graphs with Wheel Graph

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Abstract

The Wiener index W is the sum of distances between all pairs of vertices of a (connected) graph. The corona of two graphs G and H is denoted by G◦H. The graphs which could be obtained by modifying the given wheel graph are also known as wheel related graphs. In this paper, we shall obtain the formula for W (G ◦ W_1,n−1), when G is a wheel related graph and W_1,n−1 is a wheel graph on n vertices.

Original language	English
Pages (from-to)	981-987
Number of pages	7
Journal	Engineering Letters
Volume	30
Issue number	3
Publication status	Published - 2022

All Science Journal Classification (ASJC) codes

Engineering(all)

Cite this

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title = "Wiener Index of Corona of Wheel Related Graphs with Wheel Graph",

abstract = "The Wiener index W is the sum of distances between all pairs of vertices of a (connected) graph. The corona of two graphs G and H is denoted by G◦H. The graphs which could be obtained by modifying the given wheel graph are also known as wheel related graphs. In this paper, we shall obtain the formula for W (G ◦ W1,n−1), when G is a wheel related graph and W1,n−1 is a wheel graph on n vertices.",

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AB - The Wiener index W is the sum of distances between all pairs of vertices of a (connected) graph. The corona of two graphs G and H is denoted by G◦H. The graphs which could be obtained by modifying the given wheel graph are also known as wheel related graphs. In this paper, we shall obtain the formula for W (G ◦ W1,n−1), when G is a wheel related graph and W1,n−1 is a wheel graph on n vertices.

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Wiener Index of Corona of Wheel Related Graphs with Wheel Graph

Abstract

All Science Journal Classification (ASJC) codes

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