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Advances and Applications in Discrete Mathematics

Advances and Applications in Discrete Mathematics
Volume 39, Issue 1, Pages 125 - 143 (July 2023)
http://dx.doi.org/10.17654/0974165823041

ON THE SECOND DOMINATION HYPER INDEX OF GRAPH AND SOME GRAPH OPERATIONS

S. Raju, Puttaswamy and S. R. Nayaka

Abstract:

Topological indices can be considered important because these are used to study mathematical models that show many physical, chemical, and biological properties of chemical compounds. Topological indices are widely used in both theoretical and environmental chemistry for correlation analysis of chemical composition. The topological index can also be seen as a numerical value that helps in identifying and studying the physical and chemical properties of molecules. In this paper, we define a new version of domination topological indices known as the second domination hyper index. Also, we study and calculate this new index for some graph families and some graph operations like corona product and join of graphs.

Keywords and phrases:

second domination hyper index, domination degree, minimal domination set.

Received: February 7, 2023; Revised: February 27, 2023; Accepted: March 29, 2023; Published: May 23, 2023

How to cite this article: S. Raju, Puttaswamy and S. R. Nayaka, On the second domination hyper index of graph and some graph operations, Advances and Applications in Discrete Mathematics 39(1) (2023), 125-143. http://dx.doi.org/10.17654/0974165823041

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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