(a) A cut-edge of a graph G = (V,E) is an edge whose removal paritions the graph into two or more connected components (note that some of these components can be single vertex). Give a O(|V+ E|) time algorithm to find all the cut-edges of G. Give a clear description of your slgorithm and the pseudocode and argue the running time bound. (Hint: Again this is a modification of the algorithm to find cut-vertices. What is the condition for an edge to be a cut-edge? Can it lie on a simple cycle of G?) (b) Run your algorithm on the undirected graph given in Figure 2. Show the main steps and Output the cut edges of the graph.

(a) A cut-edge of a graph G = (V,E) is an edge whose removal paritions the graph into two or more connected components (note that some of these components can be single vertex). Give a O(|V+ E|) time algorithm to find all the cut-edges of G. Give a clear description of your slgorithm and the pseudocode and argue the running time bound. (Hint: Again this is a modification of the algorithm to find cut-vertices. What is the condition for an edge to be a cut-edge? Can it lie on a simple cycle of G?) (b) Run your algorithm on the undirected graph given in Figure 2. Show the main steps and Output the cut edges of the graph.

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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Question

Exercise 11.5
(a) A cut-edge of a graph G = (V, E) is an edge whose removal paritions the graph into two
or more connected components (note that some of these components can be single vertex).
Give a O(|V]+ E) time algorithm to find all the cut-edges of G. Give a clear description
of your algorithm and the pseudocode and argue the running time bound. (Hint: Again this
is a modification of the algorithm to find cut-vertices. What is the condition for an edge to
be a cut-edge? Can it lie on a simple cycle of G?)
%3D
(b) Run your algorithm on the undirected graph given in Figure 2. Show the main steps and
output the cut edges of the graph.
1
3
7
3
DFS Tree
Figure 2

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