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Improved local algorithms for spanner construction

Published: 01 September 2012 Publication History

Abstract

Let S be a set of n points in the plane, let E be the complete Euclidean graph whose point set is S, and let G be the Delaunay triangulation of S. We present a very simple local algorithm that, given G, constructs a subgraph of G of degree at most 11 that is a geometric spanner of G with stretch factor 2.86, and hence a geometric spanner of E with stretch factor < 7. This algorithm gives an O(nlgn) time centralized algorithm for constructing a subgraph of G that is a geometric spanner of E of degree at most 11 and stretch factor <7.

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  • (2023)Bounded-Degree Plane Geometric Spanners in PracticeACM Journal of Experimental Algorithmics10.1145/358249728(1-36)Online publication date: 8-Apr-2023

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    Published: 01 September 2012

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    1. Delaunay triangulations
    2. Spanners

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    • (2023)Bounded-Degree Plane Geometric Spanners in PracticeACM Journal of Experimental Algorithmics10.1145/358249728(1-36)Online publication date: 8-Apr-2023

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