13. Do not use ChatGPT and Please type to Prove that any undirected, loop-free graph on n vertices with at least(n − 1)(n − 2)/2 + 1 edges is connected. Also, give an example of a disconnected n-vertex graph with one fewer edge. 13. Prove that any undirected, loop-free graph on n vertices with at least (n - 1)(n-2)/2+1edges is connected. Also, give an example of a disconnected n-vertex graph with one fewer edge.

Answered: Image /qna-images/answer/44566b36-0ba5-4f19-9b13-873d94ecf558.jpg

Answered: 13. Prove that any undirected,…

13. Prove that any undirected, loop-free graph on n vertices with at least (n - 1)(n-2)/2+1 edges is connected. Also, give an example of a disconnected n-vertex graph with one fewer edge.

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

13. Do not use ChatGPT and Please type to Prove that any undirected, loop-free graph on n vertices with at least

(n − 1)(n − 2)/2 + 1 edges is connected. Also, give an example of a disconnected n-vertex graph with one fewer edge.

13. Prove that any undirected, loop-free graph on n vertices with at least (n - 1)(n-2)/2+1
edges is connected. Also, give an example of a disconnected n-vertex graph with one fewer edge.

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