Hiw: show that Let x be a e dge of Connected graph G. The following statements are equivalent. () X is a bridge of G (2) X is not on any eyc le of G ® There exist vertices u andvofG such the edgex is on every path joning u and V O There exists a partition of v into su bsets ų and W such that for any verticesUEU and w the edge x ison every path joining u and w

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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H.w: show that Let x be a e dge of Connected
graph G. The following statements are equivalent.
(1) X is
X is a bridge of G
(2) X is not on any eycle of G
® There exist vertices u and vof G such the ecdgex
is on every path goning u and V
O There exists a pardition of V into su bsets ų and w such
that for
any verticesUEU and w the edge x ison
every path joining u and w
Transcribed Image Text:H.w: show that Let x be a e dge of Connected graph G. The following statements are equivalent. (1) X is X is a bridge of G (2) X is not on any eycle of G ® There exist vertices u and vof G such the ecdgex is on every path goning u and V O There exists a pardition of V into su bsets ų and w such that for any verticesUEU and w the edge x ison every path joining u and w
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