Abstract.We introduce the first and second Gourava indices of a molecular graph. Also we introduce the first and second Gourava coindices of a molecular graph. In this paper, we compute the first and second Gourava indices of some standard classes of graphs. We also compute the first and second Gourava indices of armchair polyhex and zigzag-edge polyhex nanotubes.

In this paper, we introduce some multiplicative connectivity indices of a graph. A topological index is a numeric quantity from the structural graph of a molecule. In this paper, we compute first multiplicative Zagreb index, multiplicative hyper-Zagreb, general multiplicative Zagreb, multiplicative sum connectivity, multiplicative product connectivity, multiplicative ABC, general multiplicative GA indices for certain important chemical structures like nanotubes covered by C 5 and C 7

A single number that can be used to characterize some property of the graph of a molecular is called a topological index for that graph. In this paper, we compute several topological indices of linear [n]-anthracene, V-anthracene nanotube and nanotori: multiplicative Zagreb, multiplicative hyper-Zagreb, multiplicative sum connectivity, multiplicative product connectivity, general multiplicative Zagreb, multiplicative ABC and multiplicative GA indices.

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