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Disprove the following statement by giving a counter-example. Claim: For every tree T1 = (V, E1) and tree T, = (V, E2) where V> 3 and E1 N E2 = 0, the graph G = (V,E1 U E2) is 2-connected. %3D

Disprove the following statement by giving a counter-example. Claim: For every tree T1 = (V, E1) and tree T, = (V, E2) where V> 3 and E1 N E2 = 0, the graph G = (V,E1 U E2) is 2-connected. %3D

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
Problem 1PE
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Disprove the following statement by giving a counter-example. Claim: For every tree T = (V, E¡) and tree T2 = (V,E2) where V2 3 and E¡ N E2 = 0, the graph G = (V, E1 U E2) is 2-connected. Clearly indicate what T1 and T2 are and motivate why the resulting graph is not 2-connected. (Create the counter-example in any drawing editor and include it as an image in your answer.)
Transcribed Image Text:Disprove the following statement by giving a counter-example. Claim: For every tree T = (V, E¡) and tree T2 = (V,E2) where V2 3 and E¡ N E2 = 0, the graph G = (V, E1 U E2) is 2-connected. Clearly indicate what T1 and T2 are and motivate why the resulting graph is not 2-connected. (Create the counter-example in any drawing editor and include it as an image in your answer.)
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