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Delaunay graphs are almost as good as complete 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/10.1007/978-1-4612-1098-6openalex-snapshot
Computational Geometry
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/10.2307/2008200openalex-snapshot
Computational Geometry--An Introduction.

What points at this work

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

inferred← citeshttps://doi.org/10.1002/dac.844openalex-snapshot
Efficient Delaunay‐based localized routing for wireless sensor networks
inferred← citeshttps://doi.org/10.1002/net.3230240406openalex-snapshot
Spanners in graphs of bounded degree
inferred← citeshttps://doi.org/10.1007/10692760_24openalex-snapshot
Tree Spanners in Planar Graphs
inferred← citeshttps://doi.org/10.1007/11561071_48openalex-snapshot
Small Stretch Spanners on Dynamic Graphs
inferred← citeshttps://doi.org/10.1007/11573937_41openalex-snapshot
Dynamic Delaunay Triangulation for Wireless Ad Hoc Network
inferred← citeshttps://doi.org/10.1007/11602613_3openalex-snapshot
Embedding Point Sets into Plane Graphs of Small Dilation
inferred← citeshttps://doi.org/10.1007/11751540_1openalex-snapshot
Upper Bound on Dilation of Triangulations of Cyclic Polygons
inferred← citeshttps://doi.org/10.1007/11940128_19openalex-snapshot
Diamond Triangulations Contain Spanners of Bounded Degree
inferred← citeshttps://doi.org/10.1007/3-540-45071-8_38openalex-snapshot
Efficient Construction of Low Weight Bounded Degree Planar Spanner
inferred← citeshttps://doi.org/10.1007/3-540-45749-6_24openalex-snapshot
Constructing Plane Spanners of Bounded Degree and Low Weight
inferred← citeshttps://doi.org/10.1007/3-540-45995-2_42openalex-snapshot
On the Spanning Ratio of Gabriel Graphs and β-skeletons
inferred← citeshttps://doi.org/10.1007/3-540-46632-0_12openalex-snapshot
Online Routing in Triangulations
inferred← citeshttps://doi.org/10.1007/3-540-57568-5_230openalex-snapshot
Constructing degree-3 spanners with other sparseness properties
inferred← citeshttps://doi.org/10.1007/3-540-61680-2_79openalex-snapshot
Planar spanners and approximate shortest path queries among obstacles in the plane
inferred← citeshttps://doi.org/10.1007/978-0-387-30162-4_111openalex-snapshot
Dilation of Geometric Networks
inferred← citeshttps://doi.org/10.1007/978-0-387-30162-4_294openalex-snapshot
Planar Geometric Spanners
inferred← citeshttps://doi.org/10.1007/978-0-387-48945-2_11openalex-snapshot
Overlay Networks for Wireless ad hoc Networks
inferred← citeshttps://doi.org/10.1007/978-0-387-49592-7_5openalex-snapshot
Topology Control for Wireless Sensor Networks
inferred← citeshttps://doi.org/10.1007/978-1-4419-7997-1_41openalex-snapshot
Geometric Optimization in Wireless Networks
inferred← citeshttps://doi.org/10.1007/978-1-4613-0223-0_7openalex-snapshot
Applications of Computational Geometry in Wireless Networks
inferred← citeshttps://doi.org/10.1007/978-1-4614-0110-0_17openalex-snapshot
Plane Geometric Graph Augmentation: A Generic Perspective
inferred← citeshttps://doi.org/10.1007/978-1-4939-2864-4_111openalex-snapshot
Dilation of Geometric Networks
inferred← citeshttps://doi.org/10.1007/978-1-4939-2864-4_294openalex-snapshot
Planar Geometric Spanners
inferred← citeshttps://doi.org/10.1007/978-3-030-24766-9_11openalex-snapshot
Plane Hop Spanners for Unit Disk Graphs
inferred← citeshttps://doi.org/10.1007/978-3-030-36412-0_38openalex-snapshot
Improved Stretch Factor of Delaunay Triangulations of Points in Convex Position
inferred← citeshttps://doi.org/10.1007/978-3-030-60440-0_25openalex-snapshot
Drawing Graphs as Spanners
inferred← citeshttps://doi.org/10.1007/978-3-030-94106-2_18openalex-snapshot
Optimal Networks
inferred← citeshttps://doi.org/10.1007/978-3-031-74580-5_11openalex-snapshot
The Exact Spanning Ratio of the Parallelogram Delaunay Graph
inferred← citeshttps://doi.org/10.1007/978-3-319-08404-6_9openalex-snapshot
Competitive Online Routing on Delaunay Triangulations
inferred← citeshttps://doi.org/10.1007/978-3-319-29221-2_12openalex-snapshot
Lower Bounds on the Dilation of Plane Spanners
inferred← citeshttps://doi.org/10.1007/978-3-319-48517-1_25openalex-snapshot
Constrained Generalized Delaunay Graphs are Plane Spanners
inferred← citeshttps://doi.org/10.1007/978-3-319-62127-2_18openalex-snapshot
Local Routing in Spanners Based on WSPDs
inferred← citeshttps://doi.org/10.1007/978-3-540-69903-3_33openalex-snapshot
Spanners of Additively Weighted Point Sets
inferred← citeshttps://doi.org/10.1007/978-3-540-70918-3_16openalex-snapshot
Light Orthogonal Networks with Constant Geometric Dilation
inferred← citeshttps://doi.org/10.1007/978-3-540-73951-7_29openalex-snapshot
On Generalized Diamond Spanners
inferred← citeshttps://doi.org/10.1007/978-3-540-74823-6_2openalex-snapshot
Topology Control and Geographic Routing in Realistic Wireless Networks
inferred← citeshttps://doi.org/10.1007/978-3-540-75520-3_54openalex-snapshot
Small Stretch Spanners in the Streaming Model: New Algorithms and Experiments
inferred← citeshttps://doi.org/10.1007/978-3-540-85238-4_23openalex-snapshot
A PTAS for the Sparsest Spanners Problem on Apex-Minor-Free Graphs
inferred← citeshttps://doi.org/10.1007/978-3-540-92182-0_58openalex-snapshot
On the Stretch Factor of Convex Delaunay Graphs
inferred← citeshttps://doi.org/10.1007/978-3-540-92666-5_2openalex-snapshot
Paving the Way Towards Reactive Planar Spanner Construction in Wireless Networks
inferred← citeshttps://doi.org/10.1007/978-3-642-02017-9_8openalex-snapshot
On Spanners of Geometric Graphs
inferred← citeshttps://doi.org/10.1007/978-3-642-16007-3_2openalex-snapshot
Approximate Shortest Path Queries Using Voronoi Duals
inferred← citeshttps://doi.org/10.1007/978-3-642-16926-7_25openalex-snapshot
Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
inferred← citeshttps://doi.org/10.1007/978-3-642-19056-8_14openalex-snapshot
k th Order Geometric Spanners for Wireless Ad Hoc Networks
inferred← citeshttps://doi.org/10.1007/978-3-642-25878-7_18openalex-snapshot
Generalizing Geometric Graphs
inferred← citeshttps://doi.org/10.1007/978-3-642-27848-8_111-2openalex-snapshot
Dilation of Geometric Networks
inferred← citeshttps://doi.org/10.1007/978-3-642-38221-5_17openalex-snapshot
An Algorithm for Maximum Common Subgraph of Planar Triangulation Graphs
inferred← citeshttps://doi.org/10.1007/978-3-662-48350-3_18openalex-snapshot
Upper and Lower Bounds for Online Routing on Delaunay Triangulations
inferred← citeshttps://doi.org/10.1007/978-3-662-49529-2_19openalex-snapshot
Improved Spanning Ratio for Low Degree Plane Spanners
inferred← citeshttps://doi.org/10.1007/978-981-97-7798-3_22openalex-snapshot
Revisiting the Stretch Factor of Delaunay Triangulations of Points in Convex Position
inferred← citeshttps://doi.org/10.1007/bf02574005openalex-snapshot
Approximating Euclidean distances by small degree graphs
inferred← citeshttps://doi.org/10.1007/bf02574695openalex-snapshot
A sparse graph almost as good as the complete graph on points inK dimensions
inferred← citeshttps://doi.org/10.1007/bf03321771openalex-snapshot
Bounds for the CRDT Conformal Mapping Algorithm
inferred← citeshttps://doi.org/10.1007/bfb0113278openalex-snapshot
Application of the delaunay triangulation to geometric intersection problems
inferred← citeshttps://doi.org/10.1007/s00373-023-02632-0openalex-snapshot
Emanation Graph: A Plane Geometric Spanner with Steiner Points
inferred← citeshttps://doi.org/10.1007/s00453-001-0021-yopenalex-snapshot
On the Hardness of Approximating Spanners
inferred← citeshttps://doi.org/10.1007/s00453-005-1168-8openalex-snapshot
Constructing Plane Spanners of Bounded Degree and Low Weight
inferred← citeshttps://doi.org/10.1007/s00453-008-9216-9openalex-snapshot
Graph Spanners in the Streaming Model: An Experimental Study
inferred← citeshttps://doi.org/10.1007/s00453-017-0305-5openalex-snapshot
Improved Spanning Ratio for Low Degree Plane Spanners
inferred← citeshttps://doi.org/10.1007/s00453-022-00930-2openalex-snapshot
Local Routing in Sparse and Lightweight Geometric Graphs
inferred← citeshttps://doi.org/10.1007/s00453-025-01308-wopenalex-snapshot
The Tight Spanning Ratio of the Rectangle Delaunay Triangulation
inferred← citeshttps://doi.org/10.1007/s00454-016-9842-yopenalex-snapshot
Upper and Lower Bounds for Online Routing on Delaunay Triangulations
inferred← citeshttps://doi.org/10.1007/s00454-022-00398-5openalex-snapshot
Drawing Graphs as Spanners
inferred← citeshttps://doi.org/10.1007/s00454-023-00499-9openalex-snapshot
Improved Routing on the Delaunay Triangulation
inferred← citeshttps://doi.org/10.1007/s10558-009-9091-2openalex-snapshot
Automatic Left Ventricular Contour Extraction from Cardiac Magnetic Resonance Images Using Cantilever Beam and Random Walk Approach
inferred← citeshttps://doi.org/10.1007/s10732-014-9237-2openalex-snapshot
Approximated algorithms for the minimum dilation triangulation problem
inferred← citeshttps://doi.org/10.1007/s10878-022-00940-4openalex-snapshot
Improved stretch factor of Delaunay triangulations of points in convex position
inferred← citeshttps://doi.org/10.1007/s10898-017-0517-xopenalex-snapshot
An exact algorithm for the minimum dilation triangulation problem
inferred← citeshttps://doi.org/10.1007/s11036-005-4447-3openalex-snapshot
Localized Algorithms for Energy Efficient Topology in Wireless Ad Hoc Networks
inferred← citeshttps://doi.org/10.1007/s11036-006-4469-5openalex-snapshot
Localized Construction of Bounded Degree and Planar Spanner for Wireless Ad Hoc Networks
inferred← citeshttps://doi.org/10.1007/s11276-007-0078-xopenalex-snapshot
Single-step creation of localized Delaunay triangulations
inferred← citeshttps://doi.org/10.1007/s11277-017-4322-0openalex-snapshot
Dynamic Node Deployment and Cross Layer Opportunistic Robust Routing for PoI Coverage Using WSNs
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Analysis and visualization of meteorological emergencies
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Constructing sparse spanners for most graphs in higher dimensions
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NP-completeness of minimum spanner problems
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Euclidean spanner graphs with degree four
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50006-1openalex-snapshot
Voronoi Diagrams**Partially supported by the Deutsche Forschungsgemeinschaft, grant K1 655 2-2.
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50010-3openalex-snapshot
Spanning Trees and Spanners
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Closest-Point Problems in Computational Geometry
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Beta-skeletons have unbounded dilation
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On the Stretch Factor of the Constrained Delaunay Triangulation
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Approximate Shortest Path Queries in Graphs Using Voronoi Duals
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On the necessity of using Delaunay Triangulation substrate in greedy routing based networks
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Coverage in wireless ad hoc sensor networks
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The Stretch Factor of the Delaunay Triangulation Is Less than 1.998
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Resistance-Based Performance Analysis of the Consensus Algorithm over Geometric Graphs
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Online Routing in Triangulations
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Approximating the Stretch Factor of Euclidean Graphs
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Sparse Distance Preservers and Additive Spanners
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Spanners of Hypercube-Derived Networks
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On the Spanning Ratio of Gabriel Graphs and beta-Skeletons
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EFFICIENT CONSTRUCTION OF LOW WEIGHTED BOUNDED DEGREE PLANAR SPANNER
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EMBEDDING POINT SETS INTO PLANE GRAPHS OF SMALL DILATION
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DELAUNAY AND DIAMOND TRIANGULATIONS CONTAIN SPANNERS OF BOUNDED DEGREE
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IMPROVING SHORTEST PATHS IN THE DELAUNAY TRIANGULATION
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Competitive Online Routing on Delaunay Triangulations
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MIXED SPANNING TREES IN THEORY AND PRACTICE
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A unified energy-efficient topology for unicast and broadcast
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Construction of multidimensional spanner graphs, with applications to minimum spanning trees
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Voronoi diagrams—a survey of a fundamental geometric data structure
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On Euclidean spanner graphs with small degree
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New sparseness results on graph spanners
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Improved upper bound on the stretch factor of delaunay triangulations
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There are Plane Spanners of Maximum Degree 4
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Graph-Based Vector Search: An Experimental Evaluation of the State-of-the-Art
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Geometric spanner for routing in mobile networks
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Asymptotically optimal geometric mobile ad-hoc routing
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Localized construction of bounded degree and planar spanner for wireless ad hoc networks
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On greedy geographic routing algorithms in sensing-covered networks
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Localized algorithms for energy efficient topology in wireless ad hoc networks
inferred← citeshttps://doi.org/10.1201/9780203489635.ch39openalex-snapshot
Wireless Sensor Networks and Computational Geometry
inferred← citeshttps://doi.org/10.13140/rg.2.2.33820.33923openalex-snapshot
POSITION-BASED DISTRIBUTED HASH TABLES
inferred← citeshttps://doi.org/10.14778/3583140.3583166openalex-snapshot
ELPIS: Graph-Based Similarity Search for Scalable Data Science
inferred← citeshttps://doi.org/10.14778/3749646.3749725openalex-snapshot
SIEVE: Effective Filtered Vector Search with Collection of Indexes
inferred← citeshttps://doi.org/10.1556/comec.1.2000.1.7openalex-snapshot
On plexus representation of dissimilarities
inferred← citeshttps://doi.org/10.15807/jorsj.58.209openalex-snapshot
ROUTING ALGORITHMS UNDER MUTUAL INTERFERENCE CONSTRAINTS
inferred← citeshttps://doi.org/10.17169/refubium-22690openalex-snapshot
Minimum dilation triangulations
inferred← citeshttps://doi.org/10.22215/etd/2008-06271openalex-snapshot
Approximation algorithms for geometric networks
inferred← citeshttps://doi.org/10.22215/etd/2008-08369openalex-snapshot
Localized square test graph with applications to wireless ad hoc networks
inferred← citeshttps://doi.org/10.22215/etd/2014-10473openalex-snapshot
Theta-Graphs and Other Constrained Spanners
inferred← citeshttps://doi.org/10.22215/etd/2015-10924openalex-snapshot
Plane Spanners of Degree Eight
inferred← citeshttps://doi.org/10.22215/etd/2015-11052openalex-snapshot
Flips and Spanners
inferred← citeshttps://doi.org/10.22215/etd/2019-13678openalex-snapshot
Improved Spanning and Routing Ratios on Geometric Graphs
inferred← citeshttps://doi.org/10.22215/etd/2020-14152openalex-snapshot
Generalized Delaunay Triangulations:Graph-Theoretic Properties and Algorithms
inferred← citeshttps://doi.org/10.22215/etd/2020-14188openalex-snapshot
Routing on Heavy Path WSPD Spanners
inferred← citeshttps://doi.org/10.2991/cssdre-18.2018.94openalex-snapshot
Geometry of transport networks in the region
inferred← citeshttps://doi.org/10.3150/17-bej943openalex-snapshot
Coalescence of Euclidean geodesics on the Poisson–Delaunay triangulation
inferred← citeshttps://doi.org/10.4230/lipics.esa.2018.22openalex-snapshot
Improved Routing on the Delaunay Triangulation
inferred← citeshttps://doi.org/10.4230/lipics.stacs.2008.1320openalex-snapshot
On Geometric Spanners of Euclidean and Unit Disk Graphs
inferred← citeshttps://doi.org/10.48550/arxiv.0801.4013openalex-snapshot
Spanners of Additively Weighted Point Sets
inferred← citeshttps://doi.org/10.48550/arxiv.0806.4221openalex-snapshot
Localized Spanners for Wireless Networks
inferred← citeshttps://doi.org/10.48550/arxiv.0903.5208openalex-snapshot
On the Necessary and Sufficient Condition of Greedy Routing Supporting Geographical Data Networks
inferred← citeshttps://doi.org/10.48550/arxiv.1006.0291openalex-snapshot
The dilation of the Delaunay triangulation is greater than π/2
inferred← citeshttps://doi.org/10.48550/arxiv.1403.5350openalex-snapshot
There are Plane Spanners of Maximum Degree 4
inferred← citeshttps://doi.org/10.48550/arxiv.1410.0309openalex-snapshot
10-Gabriel graphs are Hamiltonian
inferred← citeshttps://doi.org/10.48550/arxiv.1507.06856openalex-snapshot
On the Stretch Factor of Convex Polyhedra whose Vertices are (Almost) on a Sphere
inferred← citeshttps://doi.org/10.48550/arxiv.1606.08824openalex-snapshot
Towards Plane Spanners of Degree 3
inferred← citeshttps://doi.org/10.48550/arxiv.1607.05770openalex-snapshot
Stretch Factor of Long Paths in a planar Poisson-Delaunay Triangulation
inferred← citeshttps://doi.org/10.48550/arxiv.2106.11621openalex-snapshot
Near-Delaunay Metrics
inferred← citeshttps://doi.org/10.5821/dissertation-2117-328194openalex-snapshot
Generalized Delaunay triangulations : graph-theoretic properties and algorithms
inferred← citeshttps://doi.org/10.6028/nist.ir.5164openalex-snapshot
Bibliographic notes on Voronoi diagrams
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