Routing methods have a crucial role in taking advantage of the potential benefits offered by Networks-on-Chip (NoCs). In this work, we address the design of routing techniques for NoC-based multicore systems through the application of turn model. Our work introduces different minimal and adaptive routing strategies which do not rely on Virtual Channels (VCs) for deadlock-freedom. The experimental results support our claim that the proposed algorithms can be used for efficient unicast/multicast routing in NoCs.