Cognitive Radio Networks (CRNs) address spectrum scarcity by enabling unlicensed users to opportunistically use underutilized licensed channels while avoiding interference with primary users. The document surveys various routing protocols and metrics designed specifically for multi-hop CRNs, highlighting the challenges of managing dynamic channel availability and the need for efficient routing strategies. It proposes a comprehensive framework for evaluating routing metrics, focusing on aspects such as channel stability, end-to-end delay, and energy efficiency.