A Simple Algorithm for I/O-efficiently Pruning Dense Spanners

Authors Joachim Gudmundsson, Jan Vahrenhold



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Joachim Gudmundsson
Jan Vahrenhold

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Joachim Gudmundsson and Jan Vahrenhold. A Simple Algorithm for I/O-efficiently Pruning Dense Spanners. In Cache-Oblivious and Cache-Aware Algorithms. Dagstuhl Seminar Proceedings, Volume 4301, pp. 1-2, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
https://doi.org/10.4230/DagSemProc.04301.2

Abstract

Given a geometric graph $G=(S,E)$ in $R^d$ with constant dilation $t$, and a positive constant $\epsilon$, we show how to construct a $(1+\epsilon)$-spanner of $G$ with $O(|S|)$ edges using $O(sort(|E|))$ I/O operations.
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