Clustering is of interest in cases when data are not labeled enough and a prior training stage is unfeasible. In particular, spectral clustering based on graph partitioning is of interest to solve problems with highly non-linearly separa- ble classes. However, spectral methods, such as the well-known normalized cuts, involve the computation of eigenvectors that is a highly time-consuming task in case of large data. In this work, we propose an alternative to solve the normalized cuts problem for clustering, achieving same results as conventional spectral meth- ods but spending less processing time. Our method consists of a heuristic search to find the best cluster binary indicator matrix, in such a way that each pair of nodes with greater similarity value are first grouped and the remaining nodes are clustered following a heuristic algorithm to search into the similarity-based representation space. The proposed method is tested over a public domain image data set. Results show that our method reaches comparable results with a lower computational cost.