The document presents a new feature selection algorithm called FAST (Feature Cluster-based Subset Selection) that aims to efficiently reduce dimensionality by removing irrelevant and redundant features. The FAST algorithm works in two steps: (1) it clusters features using graph theoretic methods, and (2) it selects the most representative feature from each cluster. This clustering-based approach has a high probability of selecting useful and independent features. The algorithm is evaluated on high dimensional datasets and shown to improve learning accuracy while reducing dimensionality compared to other feature selection methods.