Complete and almost complete minors in double-critical 8-chromatic graphs.
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The Electronic Journal of Combinatorics [electronic only]
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Pedersen, Anders Sune (2011)
The Electronic Journal of Combinatorics [electronic only]
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The Electronic Journal of Combinatorics [electronic only]
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Cabello, Sergio, Lukšič, Primož (2011)
The Electronic Journal of Combinatorics [electronic only]
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Let Δ ≥ 4 be an integer. In this note, we prove that every planar graph with maximum degree Δ and girth at least 1 Δ+46 is strong (2Δ−1)-edgecolorable, that is best possible (in terms of number of colors) as soon as G contains two adjacent vertices of degree Δ. This improves [6] when Δ ≥ 6.
Aleksandar Ilić, Milovan Ilić, Bolian Liu (2011)
Kragujevac Journal of Mathematics
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