Before revision:  Also, we are able to solve a special case of the DkSReg(n, k, d, \delta, \gamma) model introduced in [KL20], when the planted subgraph G S is a clique  .
After revision:  Also, we are able to solve special cases of the DkSReg(n, k, d, \delta, \gamma) model introduced in [KL20], when the planted subgraph G S is a clique .