"Graph power" is not a standard term in mathematics or computer science, so it may refer to different concepts depending on the context. Here are some interpretations: 1. **Graph Theory**: In the context of graph theory, "power" can refer to the concept of a power of a graph, which is related to the construction of new graphs by connecting vertices based on paths of a certain length.
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The th power of a graph joins distinct vertices whenever their distance in the original graph is at most . For example, the square of a cycle adds edges connecting vertices two steps apart. Graph powers turn constraints on short paths into adjacency constraints.