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Approximating Euclidean distances by small degree graphs

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/jgt.3190130114openalex-snapshot
Graph spanners
inferredcites →https://doi.org/10.1007/3-540-19487-8_23openalex-snapshot
Approximating the complete Euclidean graph
inferredcites →https://doi.org/10.1007/3-540-51859-2_2openalex-snapshot
There are planar graphs almost as good as the complete graphs and as short as minimum spanning trees
inferredcites →https://doi.org/10.1007/3-540-52846-6_75openalex-snapshot
Generating sparse spanners for weighted graphs
inferredcites →https://doi.org/10.1007/978-1-4757-2016-7openalex-snapshot
Sphere Packings, Lattices and Groups
inferredcites →https://doi.org/10.1007/bf02187718openalex-snapshot
AnO(n logn) algorithm for the all-nearest-neighbors Problem
inferredcites →https://doi.org/10.1007/bf02187801openalex-snapshot
Delaunay graphs are almost as good as complete graphs
inferredcites →https://doi.org/10.1007/bf02187821openalex-snapshot
Classes of graphs which approximate the complete euclidean graph
inferredcites →https://doi.org/10.1007/bf02189308openalex-snapshot
On sparse spanners of weighted graphs
inferredcites →https://doi.org/10.1007/bf02574695openalex-snapshot
A sparse graph almost as good as the complete graph on points inK dimensions
inferredcites →https://doi.org/10.1017/s2040618500033219openalex-snapshot
The Closest Packing of Spherical Caps in n Dimensions
inferredcites →https://doi.org/10.1145/10515.10534openalex-snapshot
There is a planar graph almost as good as the complete graph
inferredcites →https://doi.org/10.1145/109648.109677openalex-snapshot
Construction of multidimensional spanner graphs, with applications to minimum spanning trees
inferredcites →https://doi.org/10.1145/142675.142716openalex-snapshot
On Euclidean spanner graphs with small degree
inferredcites →https://doi.org/10.2307/2323992openalex-snapshot
Sphere Packings, Lattices and Groups.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-319-62127-2_8openalex-snapshot
$$\delta $$-Greedy t-spanner
inferred← citeshttps://doi.org/10.1007/978-3-540-69903-3_35openalex-snapshot
Computing the Greedy Spanner in Near-Quadratic Time
inferred← citeshttps://doi.org/10.1007/978-3-540-87744-8_40openalex-snapshot
An Optimal Dynamic Spanner for Doubling Metric Spaces
inferred← citeshttps://doi.org/10.1007/978-3-642-03456-5_19openalex-snapshot
The Weak Gap Property in Metric Spaces of Bounded Doubling Dimension
inferred← citeshttps://doi.org/10.1007/978-3-642-17517-6_29openalex-snapshot
An Optimal Algorithm for Computing Angle-Constrained Spanners
inferred← citeshttps://doi.org/10.1007/bfb0053970openalex-snapshot
On the hardness of approximating spanners
inferred← citeshttps://doi.org/10.1007/s004460100054openalex-snapshot
Sparse communication networks and efficient routing in the plane
inferred← citeshttps://doi.org/10.1007/s00453-001-0021-yopenalex-snapshot
On the Hardness of Approximating Spanners
inferred← citeshttps://doi.org/10.1007/s00453-009-9293-4openalex-snapshot
Computing the Greedy Spanner in Near-Quadratic Time
inferred← citeshttps://doi.org/10.1016/0166-218x(94)90133-3openalex-snapshot
Euclidean spanner graphs with degree four
inferred← citeshttps://doi.org/10.1016/j.comgeo.2021.101807openalex-snapshot
δ-Greedy t-spanner
inferred← citeshttps://doi.org/10.1016/j.comgeo.2025.102201openalex-snapshot
Engineering an algorithm for constructing low-stretch geometric graphs with near-greedy average degrees
inferred← citeshttps://doi.org/10.1016/j.dam.2024.12.003openalex-snapshot
Further acceleration in computing the gap greedy spanner: An empirical approach
inferred← citeshttps://doi.org/10.1109/focs.2013.80openalex-snapshot
A Linear Time Approximation Scheme for Euclidean TSP
inferred← citeshttps://doi.org/10.1109/focs.2015.52openalex-snapshot
A Light Metric Spanner
inferred← citeshttps://doi.org/10.1137/s0097539794268753openalex-snapshot
Generating Low-Degree 2-Spanners
inferred← citeshttps://doi.org/10.1145/142675.142717openalex-snapshot
New sparseness results on graph spanners
inferred← citeshttps://doi.org/10.1145/1498698.1564499openalex-snapshot
Experimental study of geometric t -spanners
inferred← citeshttps://doi.org/10.18419/opus-2455openalex-snapshot
Hierarchische Graphen zur Wegesuche
inferred← citeshttps://doi.org/10.48550/arxiv.1505.03681openalex-snapshot
A light metric spanner
inferred← citeshttps://doi.org/10.5555/314464.314648openalex-snapshot
Generating low-degree 2-spanners
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