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List-Chromatic Numbers

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Show that K3,3 has list-chromatic number 3.

Please can you explain what does list-chromatic number means and don't forget to draw a graph.

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Solution Summary

List-chromatic numbers are investigated and discussed. The solution is detailed and well presented.

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In a proper graph coloring, all vertices are colored such that any two adjacent vertices (vertices which share an edge) are different colors. In a standard k-coloring we may use any of the k colors for each vertex. In a list coloring, each vertex has an associated list of colors that it can take on. The list chromatic number is the minimum number of colors k such that, if every list has k colors, there is a proper coloring. (In other words, assume someone is ...

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