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A better lower bound on average degree of 4-list-critical graphs - MaRDI portal

A better lower bound on average degree of 4-list-critical graphs (Q311559)

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A better lower bound on average degree of 4-list-critical graphs
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    A better lower bound on average degree of 4-list-critical graphs (English)
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    13 September 2016
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    Summary: This short note proves that every non-complete \(k\)-list-critical graph has average degree at least \(k-1 + \frac{k-3}{k^2-2k+2}\). This improves the best known bound for \(k = 4,5,6\). The same bound holds for online \(k\)-list-critical graphs.
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    average degree
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    critical graphs
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