1. A method, comprising the steps of: decomposing an input graph into a graph topology component and a graph properties component; generating a graph topology matrix representation for the graph topology component and a graph properties matrix representation for the graph properties component; partitioning each of the graph topology matrix representation and graph properties matrix representation into one or more sub-matrices; performing one or more forward passes comprising one or more vectorized operations over the one or more sub-matrices; and generating an output matrix in response to the performing step; wherein the steps are performed by at least one processor device coupled to a memory.