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Problem 4. BFS and DFS Trees. Let G be a connected graph with the property that both BFS and DFS starting from some node v return the same tree. Complete the proof below to argue that G itself must be a tree. In the proof, use only the facts about non-tree edges in BFS and DFS trees that we proved in class: i.e., fact (3.4) on page 81 and fact (3.7) on page 85 of Kleinberg and Tardos..

Problem 4. BFS and DFS Trees. Let G be a connected graph with the property that both BFS and DFS starting from some node v return the same tree. Complete the proof below to argue that G itself must be a tree. In the proof, use only the facts about non-tree edges in BFS and DFS trees that we proved in class: i.e., fact (3.4) on page 81 and fact (3.7) on page 85 of Kleinberg and Tardos..

Database System Concepts
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
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Problem 4. BFS and DFS Trees. Let G be a connected graph with the property that both BFS and DFS starting from some node v return the same tree. Complete the proof below to argue that G itself must be a tree. In the proof, use only the facts about non-tree edges in BFS and DFS trees that we proved in class: i.e., fact (3.4) on page 81 and fact (3.7) on page 85 of Kleinberg and Tardos..
Transcribed Image Text:Problem 4. BFS and DFS Trees. Let G be a connected graph with the property that both BFS and DFS starting from some node v return the same tree. Complete the proof below to argue that G itself must be a tree. In the proof, use only the facts about non-tree edges in BFS and DFS trees that we proved in class: i.e., fact (3.4) on page 81 and fact (3.7) on page 85 of Kleinberg and Tardos..
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