A note on the non-colorability threshold of a random graph.
Kaporis, Alexis C., Kirousis, Lefteris M., Stamatiou, Yannis C. (2000)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Random subgraphs of certain graph powers.”
A note on the non-colorability threshold of a random graph.
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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...
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