Suppose you are given an undirected graph G and a start node s. Your task is to design an algorithm that returns FALSE if G is not a tree and returns TRUE and labels each vertex v with the number of nodes in the subtree rooted at v if G is a tree. Note that the orientation of edges is implicit given the start node. Hint: Modify DFS to solve the problem.
Suppose you are given an undirected graph G and a start node s. Your task is to design an algorithm that returns FALSE if G is not a tree and returns TRUE and labels each vertex v with the number of nodes in the subtree rooted at v if G is a tree. Note that the orientation of edges is implicit given the start node. Hint: Modify DFS to solve the problem.
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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![Suppose you are given an undirected graph G and a start node s. Your task is
to design an algorithm that returns FALSE if G is not a tree and returns TRUE and labels
each vertex v with the number of nodes in the subtree rooted at v if G is a tree. Note that
the orientation of edges is implicit given the start node.
Hint: Modify DFS to solve the problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb744557b-dd75-4854-8475-f394b7ddaa52%2Fcea795d3-f1e1-4b5e-b8a9-489e285474fd%2F0pyry3s_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose you are given an undirected graph G and a start node s. Your task is
to design an algorithm that returns FALSE if G is not a tree and returns TRUE and labels
each vertex v with the number of nodes in the subtree rooted at v if G is a tree. Note that
the orientation of edges is implicit given the start node.
Hint: Modify DFS to solve the problem.
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