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Given a simple undirected graph G, a spanning subgraph S is a t-spanner of G if every pair of vertices that are adjacent in G are at distance at most t in S. The factor t is called the dilation of the spanner. If S has the smallest possible number of edges among all t-spanners of G, then S is a minimum t-spanner of G. In this paper, we study spanners with small dilation of graphs which are underlying...
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