• Varshiki Jethwani
• Dr. R.P. Somani

Chemical graph theory is a fascinating branch of graph theory which has many applications related to chemistry. A topological index is a real number related to a graph, as it’s considered a structural invariant. It's found that there is a strong correlation between the properties of chemical compounds and their topological indices. In this paper, we first introduce some new graph operations and compute the values for the first and second Zagreb index. We then introduce the first and second Gourava indices of a molecular Graph and compute these indices for the aforementioned graph operations. At last, as an example, we will find the Gourava index of binary operations on the Cyclic and the Complete Graph.

Chemical Graph theory, Topological indices, First and Second Zagreb index, Gourava index, Binary operations, Complete Graph, Cyclic Graph

"SOME NEW GRAPH OPERATIONS AND THEIR FIRST AND SECOND ZAGREB AND GOURAVA INDICES", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.10, Issue 8, page no.d567-d577, August-2023, Available :http://www.jetir.org/papers/JETIR2308373.pdf

"SOME NEW GRAPH OPERATIONS AND THEIR FIRST AND SECOND ZAGREB AND GOURAVA INDICES", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.10, Issue 8, page no. ppd567-d577, August-2023, Available at : http://www.jetir.org/papers/JETIR2308373.pdf