A Bound on the Total Chromatic Number

@article{Molloy1998ABO,
  title={A Bound on the Total Chromatic Number},
  author={Michael Molloy and Bruce A. Reed},
  journal={Combinatorica},
  year={1998},
  volume={18},
  pages={241-280}
}
. The proof is probabilistic. 
A Strengthening of Brooks' Theorem
  • B. Reed
  • Computer Science, Mathematics
  • J. Comb. Theory, Ser. B
  • 1999
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