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A spanner is a type of graph that serves as an approximate version of another graph, maintaining the structure while reducing the number of edges. Its primary property is that it preserves the distances between points, meaning any path in the spanner is at most a certain factor (called the stretch factor) longer than the corresponding path in the original graph. Additionally, spanners are typically sparse, having significantly fewer edges than the original graph while still ensuring connectivity. This makes them useful in various applications, such as network design and routing.

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2mo ago

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