Practice Question 11: Edge Chromatic Number of Complete Graphs - 6.2 | 6. Question 9: Proving a Graphic Sequence | Discrete Mathematics - Vol 3
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

6.2 - Question 11: Edge Chromatic Number of Complete 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 related to the topic.

Question 1

Easy

Define edge chromatic number.

💡 Hint: Think about avoiding conflicts between connected edges.

Question 2

Easy

What is a complete graph?

💡 Hint: Consider a simple graph where every point connects to every other point.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the edge chromatic number for a complete graph with 6 vertices?

  • 5
  • 6
  • 4

💡 Hint: Subtract one from the number of vertices.

Question 2

Can you color a complete graph with 5 vertices using only 4 colors?

  • True
  • False

💡 Hint: Think about the connections between each vertex.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You have a complete graph with 7 vertices. Find the minimum number of colors required and detail the coloring strategy.

💡 Hint: Visualize using a diagram.

Question 2

Construct a complete graph with 9 vertices and describe a systematic coloring algorithm you would employ.

💡 Hint: Think about how to rotate connections for maximum efficiency.

Challenge and get performance evaluation