An edge is called a bridge if the removal of the edge increases the number ofconnected components in G by one.The removal of a bridge thus separates a component of G into two separatecomponents.Let G be a graph on 6 vertices and 8 edges. How many bridges can G have at themost?

We draw a graph without loop, find number of bridges by removing edges.

Answered: An edge is called a bridge if the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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An edge is called a bridge if the removal of the edge increases the number of connected components in G by one. The removal of a bridge thus separates a component of G into two separate components. Let G be a graph on 6 vertices and 8 edges. How many bridges can G have at the most?