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- W2949533964 abstract "We present new distributed algorithms for constructing a Steiner Forest in the CONGEST model. Our deterministic algorithm finds, for any given constant $epsilon>0$, a $(2+epsilon)$-approximation in $tilde{O}(sk+sqrt{min(st,n)})$ rounds, where $s$ is the shortest path diameter, $t$ is the number of terminals, $k$ is the number of terminal components in the input, and $n$ is the number of nodes. Our randomized algorithm finds, with high probability, an $O(log n)$- approximation in time $tilde{O}(k+min(s,sqrt n)+D)$, where $D$ is the unweighted diameter of the network. We also prove a matching lower bound of $tilde{Omega}(k+min(s,sqrt{n})+D)$ on the running time of any distributed approximation algorithm for the Steiner Forest problem. Previous algorithms were randomized, and obtained either an $O(log n)$-approximation in $tilde{O}(sk)$ time, or an $O(1/epsilon)$-approximation in $tilde{O}((sqrt{n}+t)^{1+epsilon}+D)$ time." @default.
- W2949533964 created "2019-06-27" @default.
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- W2949533964 date "2014-05-08" @default.
- W2949533964 modified "2023-09-28" @default.
- W2949533964 title "Improved Distributed Steiner Forest Construction" @default.
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