3. Suppose we are given a directed acyclic graph G with a unique source s and a unique sink t. A vertex v {s, t} is called an (s, t)-cut vertex if every path froms to t passes through v, or equivalently, if deleting v makes t unreachable from s. Describe and analyze an algorithm to find every (s, t)-cut vertex in G. Figure 6.20. A directed acyclic graph with three (s, t)-cut vertices.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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(3) Question 3: Given an undirected graph G and an edge uv in G. Design an
algorithm that runs in O(|E|+|V)) time that decides if there is a cycle that contains
UV.
(4) Question 4: Problem 3 in page 245 of (Erickson]. Hint: Use topological sort.
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Transcribed Image Text:(3) Question 3: Given an undirected graph G and an edge uv in G. Design an algorithm that runs in O(|E|+|V)) time that decides if there is a cycle that contains UV. (4) Question 4: Problem 3 in page 245 of (Erickson]. Hint: Use topological sort. O S PC D00 吕口 F3 000 F4 F5 F7 F8 F9 F10 F2 # $ & 一 3 4 5 6 7 8 9. W E R T Y U FIL S D F H J K L V В N M and command B.
3. Suppose we are given a directed acyclic graph G with a unique source s
and a unique sink t. A vertex v {s,t} is called an (s,t)-cut vertex if
every path froms to t passes through v, or equivalently, if deleting v
makes t unreachable from s. Describe and analyze an algorithm to find
every (s, t)-cut vertex in G.
Figure 6.20. A directed acyclic graph with three (s, t)-cut vertices.
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Transcribed Image Text:3. Suppose we are given a directed acyclic graph G with a unique source s and a unique sink t. A vertex v {s,t} is called an (s,t)-cut vertex if every path froms to t passes through v, or equivalently, if deleting v makes t unreachable from s. Describe and analyze an algorithm to find every (s, t)-cut vertex in G. Figure 6.20. A directed acyclic graph with three (s, t)-cut vertices. 20 F3 000 II F8 000 F4 F5 F6 F7 F9 F10 FT # 2$ & * 4 5 6. 7 8 9. E R T Y U D F G H J K CV N command opt V
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