Let $G$ be a DAG with $n$ vertices. \begin{enumerate} \item How many strongly connected components are there in $G$? Justify your answer. \item We add a directed edge from every sink of $G$ to every source of $G$. Let $G'$ be the resulting digraph. How many strongly connected components are there in $G'$? Justify your answer. \end{enumerate}
Let $G$ be a DAG with $n$ vertices. \begin{enumerate} \item How many strongly connected components are there in $G$? Justify your answer. \item We add a directed edge from every sink of $G$ to every source of $G$. Let $G'$ be the resulting digraph. How many strongly connected components are there in $G'$? Justify your answer. \end{enumerate}
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Let $G$ be a DAG with $n$ vertices.
\begin{enumerate}
\item How many strongly connected components are there in $G$? Justify your answer.
\item We add a directed edge from every sink of $G$ to every source of $G$. Let $G'$ be the resulting digraph. How many strongly connected components are there in $G'$? Justify your answer.
\end{enumerate}
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