Classes of graphs which approximate the complete Euclidean graph

From MaRDI portal
Publication:1186079

DOI10.1007/BF02187821zbMath0751.52004WikidataQ56047089 ScholiaQ56047089MaRDI QIDQ1186079

J. Mark Keil, Carl A. Gutwin

Publication date: 28 June 1992

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131177




Related Items

Constrained generalized Delaunay graphs are plane spannersEuclidean spanner graphs with degree fourEuclidean Steiner Spanners: Light and SparseOn the spanning and routing ratios of the directed \(\varTheta_6\)-graphImproved bounds on the spanning ratio of the theta-5-graphRouting on heavy-path WSPD-spannersApproximating geometric bottleneck shortest pathsOptimal Local Routing on Delaunay Triangulations Defined by Empty Equilateral TrianglesEMBEDDING POINT SETS INTO PLANE GRAPHS OF SMALL DILATIONOn the spanning and routing ratios of the directed \(\Theta_6\)-graphA GEOMETRIC SPANNER OF SEGMENTSGood triangulations yield good toursTruly Optimal Euclidean SpannersCompetitive Online Routing on Delaunay TriangulationsOn plane geometric spanners: a survey and open problemsOrdered theta graphsUnnamed ItemImproved routing on the Delaunay triangulationOn path-greedy geometric spannersOn the stretch factor of Delaunay triangulations of points in convex positionAlmost all Delaunay triangulations have stretch factor greater than \(\pi /2\)On the spanning and routing ratio of the directed theta-four graphMinimum weight Euclidean \((1+\varepsilon)\)-spannersNew constructions of SSPDs and their applicationsCompact and low delay routing labeling scheme for unit disk graphsLocal routing algorithms on Euclidean spanners with small diameterGeometric Spanner of Objects under L 1 DistanceVertex Fault-Tolerant Geometric Spanners for Weighted PointsSpanners of Additively Weighted Point SetsComputing the Greedy Spanner in Near-Quadratic TimeNew approximation algorithms for minimum cycle bases of graphsSpanners of additively weighted point setsUnnamed ItemOn certain geometric properties of the Yao-Yao graphsEmanation graph: a plane geometric spanner with Steiner pointsCoalescence of Euclidean geodesics on the Poisson-Delaunay triangulationOn bounded degree plane strong geometric spannersLocating battery charging stations to facilitate almost shortest pathsA fast algorithm for approximating the detour of a polygonal chain.Sparse communication networks and efficient routing in the planeSparse geometric graphs with small dilationI/O-efficient algorithms for computing planar geometric spannersGeometric Spanner of SegmentsTight stretch factors for \(L_1\)- and \(L_\infty\)-Delaunay triangulationsLocal properties of geometric graphsLight Euclidean Spanners with Steiner PointsDisordered contact networks in jammed packings of frictionless disksImproved spanning ratio for low degree plane spannersA generalized hypergreedy algorithm for weighted perfect matchingA simple and efficient kinetic spannerStable roommates spannerSome properties of \(k\)-Delaunay and \(k\)-Gabriel graphsMost finite point sets in the plane have dilation \(>1\)The \(\varTheta_5\)-graph is a spannerMinimum weight convex Steiner partitionsA PTAS for minimum vertex dilation triangulation of a simple polygon with a constant number of sources of dilationOn a family of strong geometric spanners that admit local routing strategiesThe Stretch - Length Tradeoff in Geometric Networks: Average Case and Worst Case StudySigma-local graphsBounds for the CRDT conformal mapping algorithmImproved local algorithms for spanner constructionConnections between Theta-Graphs, Delaunay Triangulations, and Orthogonal SurfacesLattice Spanners of Low DegreeA distributed algorithm to maintain a proximity communication network among mobile agents using the Delaunay triangulationLower Bounds on the Dilation of Plane SpannersEmpty region graphsConstrained routing between non-visible verticesSelf-stabilizing metric graphsLight orthogonal networks with constant geometric dilationDELAUNAY AND DIAMOND TRIANGULATIONS CONTAIN SPANNERS OF BOUNDED DEGREELattice spanners of low degreeImproved Accuracy of Monotone Finite Difference Schemes on Point Clouds and Regular GridsUnnamed ItemA simple, faster method for kinetic proximity problemsAn \(O(1)\)-approximation algorithm for the 2-dimensional geometric freeze-tag problemThere are plane spanners of degree 4 and moderate stretch factorApproximating Euclidean distances by small degree graphs



Cites Work