Before revision:  The experimental result of the generic algorithm has been implemented in the IBMQ\_Qasm\_Simulator. The generated circuit can also be mapped in Noisy Intermediate-Scale Quantum (NISQ) devices (IBMQX architecture) .
After revision:  The proposed approach of solving k-clique problem has exhibited a reduction of qubit cost and circuit depth as compared to the state-of-the-art approach, for a small k with respect to a large graph. A framework that can map the automated generated circuit for clique problem to quantum devices is also proposed. An analysis of the experimental results is demonstrated using IBM's Qiskit .