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Creators/Authors contains: "Hayley Boynton, Ethan Burroughs"

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  1. (, AKCE International Journal of Graphs and Combinatorics)
    A k-ranking of a graph G is a labeling with k labels such that if f(u) = f(v) then every uv path contains a vertex w such that f(w) > f(u). The rank number of G, denoted Xr (G), is the minimum k such that a k-ranking exists for G. In this paper we characterize graphs with large rank numbers. In addition, we characterize subdivided stars based on their rank numbers. 
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