Properties
Some properties of ch′(G):
- ch′(G) < 2 χ′(G).
- ch′(Kn,n) = n. This is the Dinitz conjecture, proven by Galvin (1995).
- ch′(G) < (1 + o(1))χ′(G), i.e. the list chromatic index and the chromatic index agree asymptotically (Kahn 2000).
Here χ′(G) is the chromatic index of G; and Kn,n, the complete bipartite graph with equal partite sets.
Read more about this topic: List Edge-coloring
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