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Strong Chromatic Index Of Planar Graphs With Large Girth

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.

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Bibliografische gegevens
Hoofdauteurs: Jennhwa Chang Gerard, Montassier Mickael, Pêche Arnaud, Raspaud André
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: University of Zielona Góra 2014-11-01
Reeks:Discussiones Mathematicae Graph Theory
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Online toegang:https://doi.org/10.7151/dmgt.1763
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