Mechanisms are provided for transforming an original graph data set into a representative form having a smaller number of dimensions that the original graph data set. The mechanisms generate a graph transformation basis structure based on an input graph data structure. The mechanisms further transform an original graph data set based on an intersection of the graph transformation basis structure and the input graph data structure to thereby generate a transformed graph data set data structure. The transformed graph data set data structure has a reduced dimensionality from that of the input graph data structure but represents characteristics of the original graph data set. Moreover, the mechanisms perform an application specific operation on the transformed graph data set data structure to generate an output of a closest similarity record in the transformed graph data set to a target component.