Question: Say that an n-vertex directed acyclic graph G is compact if there is some way of numbering the vertices of G with the integers from

Say that an n-vertex directed acyclic graph G is compact if there is some way of numbering the vertices of G with the integers from 0 to n−1 such that G contains the edge (i, j) if and only if i < j, for all i, j in [0,n−1]. Give an O(n²)-time algorithm for detecting if G is compact.

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