Practice Set Theoretic Operations On Graphs (1.5) - Various Operations on Graphs
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Set Theoretic Operations on Graphs

Practice - Set Theoretic Operations on Graphs

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a subgraph.

💡 Hint: Think about how a subgraph relates to a larger graph.

Question 2 Easy

What distinguishes a proper subgraph from a general subgraph?

💡 Hint: Comparison helps here: think of identical vs non-identical.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a proper subgraph?

A subgraph that includes all edges and vertices of the original graph
A subgraph that is not identical to the original graph
A graph with fewer vertices than edges

💡 Hint: It's about comparison; think non-identity.

Question 2

True or False: Removing an edge from a graph also removes the connected vertices.

True
False

💡 Hint: Consider the independence of edges versus vertices.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a graph with vertices A, B, C, and edges AB, AC, BC. If edges AB and AC are removed, describe the resulting graph with vertex C remaining.

💡 Hint: Focus on the connections surrounding the vertex in question.

Challenge 2 Hard

Create an example of a proper subgraph from a larger graph while ensuring none of its vertices or edges match the original graph.

💡 Hint: Think of combining elements without overlapping fully.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.