I am trying to understand this problem from Algorithms. by S. Dasgupta, C.H. Papadimitriou, and U.V. Vazirani, chapter8, Pg281. Problem 8.19
A kite is a graph on an even number of vertices, say $2n$, in which $n$ of the vertices form a clique and the remaining $n$ vertices are connected in a “tail” that consists of a path joined to one of the vertices of the clique. Given a graph $G$ and a goal $g$, the KITE problem asks for a subgraph which is a kite and which contains $2g$ nodes. Prove that KITE is NP-complete.
Any pointers to start with this problem? I am completely lost with it.