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Deterministic (Δ + 1)-Coloring in Sublinear (in Δ) Time in Static, Dynamic, and Faulty Networks

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What this work says

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

inferredcites →https://doi.org/10.1006/jagm.1996.0017openalex-snapshot
On the Complexity of Distributed Network Decomposition
inferredcites →https://doi.org/10.1007/11561071_1openalex-snapshot
Designing Reliable Algorithms in Unreliable Memories
inferredcites →https://doi.org/10.1007/978-3-319-03850-6_14openalex-snapshot
On Local Fixing
inferredcites →https://doi.org/10.1007/bf02772959openalex-snapshot
Families of finite sets in which no set is covered by the union ofr others
inferredcites →https://doi.org/10.1007/pl00008932openalex-snapshot
Some simple distributed algorithms for sparse networks
inferredcites →https://doi.org/10.1016/0020-0190(86)90144-4openalex-snapshot
A fast and simple randomized parallel algorithm for maximal matching
inferredcites →https://doi.org/10.1016/0022-0000(93)90033-sopenalex-snapshot
Removing randomness in parallel computation without a processor penalty
inferredcites →https://doi.org/10.1016/0196-6774(86)90019-2openalex-snapshot
A fast and simple randomized parallel algorithm for the maximal independent set problem
inferredcites →https://doi.org/10.1109/focs.2012.60openalex-snapshot
The Locality of Distributed Symmetry Breaking
inferredcites →https://doi.org/10.1109/ipdps.2001.924926openalex-snapshot
Proceedings 15th International Parallel and Distributed Processing Symposium. IPDPS 2001
inferredcites →https://doi.org/10.1109/ipdps.2006.1639281openalex-snapshot
Distributed coloring in O/spl tilde/(/spl radic/(log n)) bit rounds
inferredcites →https://doi.org/10.1109/sfcs.1987.20openalex-snapshot
Distributive graph algorithms Global solutions from local data
inferredcites →https://doi.org/10.1109/sfcs.1988.21934openalex-snapshot
Removing randomness in parallel computation without a processor penalty
inferredcites →https://doi.org/10.1109/sfcs.1989.63504openalex-snapshot
Network decomposition and locality in distributed computation
inferredcites →https://doi.org/10.1137/0215074openalex-snapshot
A Simple Parallel Algorithm for the Maximal Independent Set Problem
inferredcites →https://doi.org/10.1137/0401044openalex-snapshot
Parallel Symmetry-Breaking in Sparse Graphs
inferredcites →https://doi.org/10.1137/1.9780898719772openalex-snapshot
Distributed Computing: A Locality-Sensitive Approach
inferredcites →https://doi.org/10.1137/12088848xopenalex-snapshot
Distributed $(\Delta+1)$-Coloring in Linear (in $\Delta$) Time
inferredcites →https://doi.org/10.1145/1146381.1146387openalex-snapshot
On the complexity of distributed graph coloring
inferredcites →https://doi.org/10.1145/1281100.1281128openalex-snapshot
A near-optimal distributed fully dynamic algorithm for maintaining sparse spanners
inferredcites →https://doi.org/10.1145/1400751.1400757openalex-snapshot
Sublogarithmic distributed MIS algorithm for sparse graphs using nash-williams decomposition
inferredcites →https://doi.org/10.1145/1536414.1536432openalex-snapshot
Distributed (δ+1)-coloring in linear (in δ) time
inferredcites →https://doi.org/10.1145/1583991.1584032openalex-snapshot
Weak graph colorings
inferredcites →https://doi.org/10.1145/167088.167156openalex-snapshot
Locality based graph coloring
inferredcites →https://doi.org/10.1145/1835698.1835797openalex-snapshot
Deterministic distributed vertex coloring in polylogarithmic time
inferredcites →https://doi.org/10.1145/1993806.1993814openalex-snapshot
Toward more localized local algorithms
inferredcites →https://doi.org/10.1145/1993806.1993825openalex-snapshot
Distributed deterministic edge coloring using bounded neighborhood independence
inferredcites →https://doi.org/10.1145/2332432.2332464openalex-snapshot
Distributed maximal matching
inferredcites →https://doi.org/10.1145/2611462.2611467openalex-snapshot
Linear-in-delta lower bounds in the LOCAL model
inferredcites →https://doi.org/10.48550/arxiv.1110.0367openalex-snapshot
Distributed Maximal Matching: Greedy is Optimal
inferredcites →https://doi.org/10.48550/arxiv.1202.1983openalex-snapshot
The Locality of Distributed Symmetry Breaking

What points at this work

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

inferred← citeshttps://doi.org/10.2139/ssrn.5033616openalex-extracted
Locally-Iterative (Δ+1)-Coloring in Sublinear (in Δ) Rounds
inferred← citeshttps://doi.org/10.1007/978-3-031-09993-9_1openalex-snapshot
Local Mending
inferred← citeshttps://doi.org/10.1007/978-3-031-32733-9_5openalex-snapshot
Distributed Coloring of Hypergraphs
inferred← citeshttps://doi.org/10.1007/978-3-031-49190-0_17openalex-snapshot
Self-stabilizing $$(\varDelta +1)$$-Coloring in Sublinear (in $$\varDelta $$) Rounds via Locally-Iterative Algorithms
inferred← citeshttps://doi.org/10.1007/978-3-031-60603-8_16openalex-snapshot
Distributed Fractional Local Ratio and Independent Set Approximation
inferred← citeshttps://doi.org/10.1007/978-3-319-49259-9_9openalex-snapshot
Making Local Algorithms Wait-Free: The Case of Ring Coloring
inferred← citeshttps://doi.org/10.1007/978-3-319-72050-0_15openalex-snapshot
Improved Distributed Algorithms for Coloring Interval Graphs with Application to Multicoloring Trees
inferred← citeshttps://doi.org/10.1007/s00224-017-9772-yopenalex-snapshot
Making Local Algorithms Wait-Free: the Case of Ring Coloring
inferred← citeshttps://doi.org/10.1007/s00446-018-0332-8openalex-snapshot
What can be sampled locally?
inferred← citeshttps://doi.org/10.1007/s00446-020-00375-2openalex-snapshot
Almost global problems in the LOCAL model
inferred← citeshttps://doi.org/10.1007/s00446-022-00424-yopenalex-snapshot
Linial for lists
inferred← citeshttps://doi.org/10.1016/j.ic.2024.105238openalex-snapshot
Distributed fractional local ratio and independent set approximation
inferred← citeshttps://doi.org/10.1016/j.tcs.2018.11.028openalex-snapshot
Improved distributed algorithms for coloring interval graphs with application to multicoloring trees
inferred← citeshttps://doi.org/10.1016/j.tcs.2024.114744openalex-snapshot
Resource efficient stabilization for local tasks despite unknown capacity links
inferred← citeshttps://doi.org/10.1016/j.tcs.2025.115456openalex-snapshot
Locally-iterative (Δ + 1)-coloring in sublinear (in Δ) rounds
inferred← citeshttps://doi.org/10.1109/focs.2019.00037openalex-snapshot
Lower Bounds for Maximal Matchings and Maximal Independent Sets
inferred← citeshttps://doi.org/10.1109/focs46700.2020.00042openalex-snapshot
Distributed Lower Bounds for Ruling Sets
inferred← citeshttps://doi.org/10.1109/focs52979.2021.00101openalex-snapshot
Deterministic Distributed Vertex Coloring: Simpler, Faster, and without Network Decomposition
inferred← citeshttps://doi.org/10.1109/ipdps.2018.00082openalex-snapshot
Distributed Symmetry Breaking in Graphs with Bounded Diversity
inferred← citeshttps://doi.org/10.1109/tnet.2017.2751544openalex-snapshot
Fast, Responsive Decentralized Graph Coloring
inferred← citeshttps://doi.org/10.1137/24m1715866openalex-snapshot
Distributed Edge Coloring in Time Polylogarithmic in \({\Delta }\)
inferred← citeshttps://doi.org/10.1145/3087801.3087815openalex-snapshot
What Can be Sampled Locally?
inferred← citeshttps://doi.org/10.1145/3188745.3188860openalex-snapshot
New classes of distributed time complexity
inferred← citeshttps://doi.org/10.1145/3209108.3209136openalex-snapshot
Parameterized circuit complexity of model-checking on sparse structures
inferred← citeshttps://doi.org/10.1145/3212734.3212769openalex-snapshot
Locally-Iterative Distributed (Δ+ 1)
inferred← citeshttps://doi.org/10.1145/3288599.3288601openalex-snapshot
Distributed symmetry-breaking with improved vertex-averaged complexity
inferred← citeshttps://doi.org/10.1145/3406325.3451089openalex-snapshot
Efficient randomized distributed coloring in CONGEST
inferred← citeshttps://doi.org/10.1145/3409964.3461804openalex-snapshot
Distributed Graph Coloring Made Easy
inferred← citeshttps://doi.org/10.1145/3461458openalex-snapshot
Lower Bounds for Maximal Matchings and Maximal Independent Sets
inferred← citeshttps://doi.org/10.1145/3469834openalex-snapshot
Smaller Cuts, Higher Lower Bounds
inferred← citeshttps://doi.org/10.1145/3486625openalex-snapshot
Locally-iterative Distributed (Δ + 1)-coloring and Applications
inferred← citeshttps://doi.org/10.1145/3519270.3538438openalex-snapshot
Overcoming Congestion in Distributed Coloring
inferred← citeshttps://doi.org/10.1145/3519270.3538440openalex-snapshot
Distributed Edge Coloring in Time Polylogarithmic in Δ
inferred← citeshttps://doi.org/10.1145/3519935.3520023openalex-snapshot
Near-optimal distributed degree+1 coloring
inferred← citeshttps://doi.org/10.1145/3519935.3520027openalex-snapshot
Distributed ∆-coloring plays hide-and-seek
inferred← citeshttps://doi.org/10.1145/3558481.3591095openalex-snapshot
Coloring Fast with Broadcasts
inferred← citeshttps://doi.org/10.1145/3558481.3591319openalex-snapshot
Brief Announcement: List Defective Colorings: Distributed Algorithms and Applications
inferred← citeshttps://doi.org/10.1145/3564246.3585111openalex-snapshot
Improved Dynamic Colouring of Sparse Graphs
inferred← citeshttps://doi.org/10.1145/3583668.3594587openalex-snapshot
Distributed MIS with Low Energy and Time Complexities
inferred← citeshttps://doi.org/10.1145/3583668.3594594openalex-snapshot
Optimal Message-Passing with Noisy Beeps
inferred← citeshttps://doi.org/10.1145/3605896openalex-snapshot
Distributed Graph Coloring Made Easy
inferred← citeshttps://doi.org/10.1145/3662158.3662798openalex-snapshot
Tight Lower Bounds in the Supported LOCAL Model
inferred← citeshttps://doi.org/10.1145/3732772.3733549openalex-snapshot
Decentralized Distributed Graph Coloring: Cluster Graphs
inferred← citeshttps://doi.org/10.1145/3732772.3733565openalex-snapshot
Towards Optimal Deterministic LOCAL Algorithms on Trees
inferred← citeshttps://doi.org/10.1145/3819817openalex-snapshot
Distributed Δ-Coloring Plays Hide-and-Seek
inferred← citeshttps://doi.org/10.3390/a18050280openalex-snapshot
A Local 6-Approximation Distributed Algorithm for Minimum Dominating Set Problem in Planar Triangle-Free Graphs
inferred← citeshttps://doi.org/10.4230/lipics.icalp.2020.11openalex-snapshot
Graph Coloring via Degeneracy in Streaming and Other Space-Conscious Models
inferred← citeshttps://doi.org/10.4230/lipics.opodis.2021.18openalex-snapshot
Improved Distributed Fractional Coloring Algorithms
inferred← citeshttps://doi.org/10.4230/lipics.opodis.2023.11openalex-snapshot
Classifying Convergence Complexity of Nash Equilibria in Graphical Games Using Distributed Computing Theory
inferred← citeshttps://doi.org/10.4230/lipics.opodis.2023.13openalex-snapshot
Distributed Symmetry Breaking in Sampling (Optimal Distributed Randomly Coloring with Fewer Colors)
inferred← citeshttps://doi.org/10.48550/arxiv.1702.00142openalex-snapshot
What can be sampled locally?
inferred← citeshttps://doi.org/10.48550/arxiv.1702.05456openalex-snapshot
LCL problems on grids
inferred← citeshttps://doi.org/10.48550/arxiv.1708.06275openalex-snapshot
Simple and Near-Optimal Distributed Coloring for Sparse Graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1712.00285openalex-snapshot
Locally-Iterative Distributed (Delta + 1)-Coloring below Szegedy-Vishwanathan Barrier, and Applications to Self-Stabilization and to Restricted-Bandwidth Models
inferred← citeshttps://doi.org/10.48550/arxiv.1805.03488openalex-snapshot
Parameterized circuit complexity of model checking first-order logic on sparse structures
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