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NP-complete proof from Dasgupta problem on Kite



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.


????KITE?($ G $????$ k?$???????????)???????????????:$ G =(V?E)?????$?$ K $????????????????????$ G '$????????????$ v_i?$?$ K $???????????

? $ G '$???$ 2K $???????????

????$ G $????$ K $(???????)????????????? $ '$ G $?$ G????????????????? "????????????G?????????????????????

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