• Corpus ID: 233025071

A note on cycle lengths in graphs of chromatic number five and six

  title={A note on cycle lengths in graphs of chromatic number five and six},
  author={Qingyi Huo},
In this note, we prove that every non-complete (k+1)-critical graph contains cycles of all lengths modulo k, where k = 4, 5. Together with a result in [7], this completely gives an affirmative answer to the question of Moore and West on graphs of given chromatic number. 

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