Practice Edge Connectivity of a Graph - 28.1.5 | 28. Vertex and Edge Connectivity | Discrete Mathematics - Vol 2
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Edge Connectivity of a Graph

28.1.5 - Edge Connectivity of a Graph

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a vertex cut?

💡 Hint: Think about what happens to a graph when specific vertices are removed.

Question 2 Easy

Define edge connectivity.

💡 Hint: Consider how edges relate to the overall structure of a graph.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a vertex cut?

A single vertex removal
A subset that disconnects the graph
An edge cut

💡 Hint: Recall what disconnection means in the context of graph theory.

Question 2

True or False: Vertex connectivity is always less than edge connectivity.

True
False

💡 Hint: Consider the definitions of both types of connectivity.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You have a graph G with 5 vertices forming a pentagon. Identify the vertex connectivity and explain your reasoning.

💡 Hint: Consider how cycles behave when vertices are removed.

Challenge 2 Hard

In a graph with 6 vertices where vertex degree 3 occurs, analyze its edge connectivity. What can you deduce?

💡 Hint: Take into account the minimum degree per vertex.

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