I was going throug the topic Projections in Graph Products. There a term weak homomorphism was used. Although I am familiar with the term Isomorphism of graphs, but have no idea what this term "weak homomorphism" means here.
PROJECTION: Let * represent either cartesian, the direct or strong product of graphs, and consider a product $G_1 * G_2* ....*G_k$. For any index i 1$\leq$*i*$\leq$*k*, a Projection map is defined as :
$p_i$ : $G_1 * G_2* ....*G_k$ $\rightarrow$ $G_i$ where $p_i$($x_1,x_2,...,x_k$)=$x_i$.
Can anybody help me out with the term weak homomorphism.
Thanks a lot.
Following links will help for definiton of product graphs... http://en.wikipedia.org/wiki/Tensor_product_of_graphs http://en.wikipedia.org/wiki/Cartesian_product_of_graphs http://en.wikipedia.org/wiki/Strong_product_of_graphs