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Suppose G is a graph and T is a set of nonnegative integers that contains 0. A T-coloring of G is a nonnegative integer function f defined on V(G) such that |f(x)−f(y)|∉T whenever xy∈E(G). The edge span of a T-coloring is the maximum value of |f(x)−f(y)| over all edges xy, and the T-edge span of G, espT(G), is the minimum edge span over all T-colorings of G. In this work, we continue to study the...
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