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AbstractFor , the -labeling arose from code assignment problem. That is, let , and be positive numbers, an --labeling of a graph is a mapping such that if , and if . The span of is the difference between the maximum and the minimum numbers assigned by . The -labeling number of , denoted by , is the minimum span over all -labelings of . The th power of an undirected graph is the graph with the vertex set of in which two vertices are adjacent when their distance in is at most . In this paper, the -labeling numbers of are determined for .