Question: Let G be a directed graph. A kernel S is a subset of V so that there are no edges between any two vertices of

Let G be a directed graph. A kernel S is a subset of V so that there are no edges between any two vertices of S, and for every v 6 S, there is an s S so that s 7 v E. 1. Show that a general directed graph may not have a kernel 2. Show that a DAG always has a unique Kernel.

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