Improved Approximation for the Directed Spanner Problem

Computer Science – Data Structures and Algorithms

Scientific paper

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Scientific paper

We prove that the size of the sparsest directed k-spanner of a graph can be
approximated in polynomial time to within a factor of $\tilde{O}(\sqrt{n})$,
for all k >= 3. This improves the $\tilde{O}(n^{2/3})$-approximation recently
shown by Dinitz and Krauthgamer.

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