Asymptotically Good List-Colorings

@article{Kahn1996AsymptoticallyGL,
  title={Asymptotically Good List-Colorings},
  author={Jeff Kahn},
  journal={J. Comb. Theory, Ser. A},
  year={1996},
  volume={73},
  pages={1-59}
}
Thus if edge sizes are bounded and pairwise degrees are relatively small, we have asymptotic agreement of /$l with its trivial lower bound, the maximum degree. The corresponding result for ordinary chromatic index is a theorem of Pippenger and Spencer (J. Combin. Theory Ser. A 51 (1989), 24 42). On the other hand, even for simple graphs, earlier work falls far short of deciding the asymptotic behavior of /$l . The ``guided-random'' method used in the proof is in the spirit of some earlier work… CONTINUE READING
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