The converse of a directed graph is obtained by reversing the direction of each edge.
A converse statement is a statement derived from a conditional by swapping the antecedent and consequent. Thus the converse of the conditional statement ‘if \(A\) then \(B\)’ is ‘if \(B\) then \(A\).’ In symbolic logic this is written as \(B \rightarrow A\).
The converse of any binary relation is obtained by reversing the order of the pairs making up the relation. That is, if \(R\) is a relation, then \((b,a)\) is in the converse of \(R\) if and only if \((a,b)\) is in \(R\). (Somewhat confusingly, we speak of the inverse of a one-to-one function to mean the same thing.)
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