Original Research Article

Article volume = 2024 and issue = 1

Pages: 9–14

Article publication Date: December 03, 2023

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# Stress Indices of Graphs

#### Harishchandra S. Ramane and Mallappa P. Mellikeri

Department of Mathematics, Karnatak University, Dharwad -580003, India.

##### Abstract:

The stress of a vertex is the number of shortest paths passing through it. The stess indices of cycle C_n and of wheel W_{n+1} are existing in terms of odd n and even n separately. In this paper we obtain stress indices of cycle and wheel in terms of single expressions of n. Further we obtain the stress indices of trees considering all its vertices.

##### Keywords:

Stress of a vertex, Stress indices of graphs, Stress-sum index.

##### References:

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##### Cite this article as:

- Harishchandra S. Ramane and Mallappa P. Mellikeri, Stress Indices of Graphs, Communications in Combinatorics, Cryptography & Computer Science, 2024(1), PP.9–14, 2023
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