Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

What is an example that shows that the edge chromatic number may be larger than the maximal degree

∆ ≤ X’(G)

share|improve this question
2  
By Brooks' theorem the only examples are odd cycles and complete graphs. –  Ross Millikan Feb 13 '13 at 17:09

1 Answer 1

The cycle on three vertices is one example. Any odd cycle will do.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.