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View all- Filtser ANeiman O(2022)Light Spanners for High Dimensional Norms via Stochastic DecompositionsAlgorithmica10.1007/s00453-022-00994-084:10(2987-3007)Online publication date: 1-Oct-2022
In this work we present the first constant-round algorithms for computing spanners and approximate All-Pairs Shortest Paths (APSP) in the distributed CONGESTED CLIQUE model. Specifically, we show the following results for undirected n-node graphs. ulFor ...
Let $G = (V,E)$ be an undirected unweighted graph on $n$ vertices. A subgraph $H$ of $G$ is called a purely additive spanner of $G$ with stretch $\beta$ if for each $(u,v) \in V \times V$, the $u$-$v$ distance in $H$ is at most $\delta_G(u,v) + \beta$. We ...
For an unweighted graph $G = (V,E)$, $G' = (V,E')$ is a subgraph if $E' \subseteq E$, and $G'' = (V'',E'',\omega)$ is a Steiner graph if $V \subseteq V''$, and for any pair of vertices $u,w \in V$, the distance between them in $G''$ (denoted $d_{G''}(...
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