3.2.3 - Lower and Upper Bound on Edge Chromatic Number
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.
Practice Questions
Test your understanding with targeted questions
What is the edge chromatic number?
💡 Hint: Think about how colors relate to edges.
What does Δ(G) represent in graph theory?
💡 Hint: It concerns the highest number of edges connected to a single vertex.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the edge chromatic number of a complete graph with 3 vertices?
💡 Hint: Visualize the triangle.
True or False: The edge chromatic number can exceed Δ(G) + 1.
💡 Hint: Think of the theorem!
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Design a graph with n vertices where the edge chromatic number is Δ(G) + 1. Justify your construction.
💡 Hint: Remember the connectedness of vertices.
Given a graph of known maximum degree, propose how you would determine the edge chromatic number in practice, especially with no visual aid.
💡 Hint: Consult on practical theoretical approaches.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.