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Tiling Turán theorems - MaRDI portal

Tiling Turán theorems (Q1586364)

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scientific article; zbMATH DE number 1528679
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Tiling Turán theorems
scientific article; zbMATH DE number 1528679

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    Tiling Turán theorems (English)
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    13 November 2000
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    Given a graph \(H\), \(\text{TT}(n,H,M)\) is the least minimum degree of an \(n\)-vertex graph \(G\) which ensures that vertex disjoint copies of \(H\) can be embedded in a large graph \(G\), having in all \(M\) vertices. The author proves a formula for the limit over \(n\) of \(\frac{1}{n} \text{TT}(n,H,xn)\) in terms of \(x\), which involves only the chromatic number and a refinement, the critical chromatic number.
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    \(H\)-factor
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    \(H\)-matching
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    chromatic number
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    critical chromatic number
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    graph tiling
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