I was reading a topic on wikipedia. There a product "corona product" was defined as :
Corona product of graphs $G_1$ and $G_2$, is the graph which is the disjoint union of one copy of $G_1$ and $|V_1|$ copies of $G_2$ ($|V_1|$ is the number of vertices of $G_1$) in which each vertex of the copy of $G_1$ is connected to all vertices of a separate copy of $G_2$.
What I am trying is... Suppose I take graph $G_1$ on 4 vertices. So, according to definition, I have to take 4 copies Of graph $G_2$, say $H_1,H_2,H_3, H_4$ and vertices of $G_1$ as $v_1,v_2,v_3,v_4$. What I understood about the product is that I will join $v_1$ with every copy of $H_1$ only, $v_2$ with every copy of $H_2$ only and so on..
Am I right in performing the product? If not, then please rectify me. Thanks a lot.