A note on the non-colorability threshold of a random graph.
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The Electronic Journal of Combinatorics [electronic only]
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Kaporis, Alexis C., Kirousis, Lefteris M., Stamatiou, Yannis C. (2000)
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Karin Mahrhold, Karl F. E. Weber (1989)
Commentationes Mathematicae Universitatis Carolinae
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Peng, Yuejian, Rödl, Vojtech, Ruciński, Andrzej (2002)
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A ranking on a graph is an assignment of positive integers to its vertices such that any path between two vertices with the same label contains a vertex with a larger label. The rank number of a graph is the fewest number of labels that can be used in a ranking. The rank number of a graph is known for many families, including the ladder graph P2 × Pn. We consider how ”bending” a ladder affects the rank number. We prove that in certain cases the rank number does not change, and in others...
Coja-Oghlan, Amin, Frieze, Alan (2008)
The Electronic Journal of Combinatorics [electronic only]
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Janson, Svante (2009)
Electronic Journal of Probability [electronic only]
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