$(1 + \epsilon,\beta)$-Spanner Constructions for General Graphs

From MaRDI portal
Publication:4651484

DOI10.1137/S0097539701393384zbMath1056.05134OpenAlexW2042333226MaRDI QIDQ4651484

Michael Elkin, David Peleg

Publication date: 21 February 2005

Published in: SIAM Journal on Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0097539701393384




Related Items

Source-wise round-trip spannersSmall Stretch Pairwise Spanners and Approximate $D$-PreserversCollective tree spanners in graphs with bounded parametersA Hierarchy of Lower Bounds for Sublinear Additive SpannersCovering metric spaces by few treesLossless Prioritized EmbeddingsDeterministic improved round-trip spannersOn additive spanners in weighted graphs with local errorDemand-aware network designs of bounded degreeVertex fault tolerant additive spannersImproved weighted additive spannersNew pairwise spannersSublinear fully distributed partition with applicationsFast deterministic distributed algorithms for sparse spannersLower Bounds on Sparse Spanners, Emulators, and Diameter-Reducing ShortcutsCombinatorial network abstraction by trees and distancesBypassing Erdős’ Girth Conjecture: Hybrid Stretch and Sourcewise SpannersPreprocess, set, query!Distributed construction of purely additive spannersGraph spanners: a tutorial reviewApproximating Shortest Paths in GraphsA fast algorithm for source-wise round-trip spannersUnnamed ItemDynamic Approximate All-Pairs Shortest Paths: Breaking the $O(mn)$ Barrier and DerandomizationDistributed algorithms for ultrasparse spanners and linear size skeletonsSparsification lower bound for linear spanners in directed graphsCovering Metric Spaces by Few TreesOn Approximate Distance Labels and Routing Schemes with Affine StretchApproximate distance oracles with improved stretch for sparse graphsHopsets with Constant Hopbound, and Applications to Approximate Shortest PathsLinear-size hopsets with small hopbound, and constant-hopbound hopsets in RNCFully polynomial time \((\Sigma,\Pi)\)-approximation schemes for continuous nonlinear newsvendor and continuous stochastic dynamic programsToward Tight Approximation Bounds for Graph Diameter and EccentricitiesUnnamed ItemFault tolerant additive and \((\mu, \alpha)\)-spanners