Randomized algorithms
SIAM Journal on Computing
Computing on Anonymous Networks: Part I-Characterizing the Solvable Cases
IEEE Transactions on Parallel and Distributed Systems
NC-approximation schemes for NP- and PSPACE-hard problems for geometric graphs
Journal of Algorithms
Local Labeling and Resource Allocation Using Preprocessing
SIAM Journal on Computing
On the distributed complexity of computing maximal matchings
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
Self-stabilization
Distributed computing: a locality-sensitive approach
Distributed computing: a locality-sensitive approach
SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
Approximation algorithms
Routing with guaranteed delivery in ad hoc wireless networks
Wireless Networks
A 2-approximation algorithm for the minimum weight edge dominating set problem
Discrete Applied Mathematics
On the Distributed Complexity of Computing Maximal Matchings
SIAM Journal on Discrete Mathematics
Approximating the Domatic Number
SIAM Journal on Computing
On Pseudorandom Generators in NC
MFCS '01 Proceedings of the 26th International Symposium on Mathematical Foundations of Computer Science
An Effective Characterization of Computability in Anonymous Networks
DISC '01 Proceedings of the 15th International Conference on Distributed Computing
The Kronecker Product and Local Computations in Graphs
CAAP '96 Proceedings of the 21st International Colloquium on Trees in Algebra and Programming
Global Optimization Using Local Information with Applications to Flow Control
FOCS '97 Proceedings of the 38th Annual Symposium on Foundations of Computer Science
Local computations on static and dynamic graphs
ISTCS '95 Proceedings of the 3rd Israel Symposium on the Theory of Computing Systems (ISTCS'95)
Hundreds of impossibility results for distributed computing
Distributed Computing - Papers in celebration of the 20th anniversary of PODC
What cannot be computed locally!
Proceedings of the twenty-third annual ACM symposium on Principles of distributed computing
Applications of k-Local MST for Topology Control and Broadcasting in Wireless Ad Hoc Networks
IEEE Transactions on Parallel and Distributed Systems
Distributed approximation: a survey
ACM SIGACT News
2-local 4/3-competitive algorithm for multicoloring hexagonal graphs
Journal of Algorithms
Proceedings of the twenty-fourth annual ACM symposium on Principles of distributed computing
On the locality of bounded growth
Proceedings of the twenty-fourth annual ACM symposium on Principles of distributed computing
Probability and Computing: Randomized Algorithms and Probabilistic Analysis
Probability and Computing: Randomized Algorithms and Probabilistic Analysis
The price of being near-sighted
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
Networking Wireless Sensors
Constant-time distributed dominating set approximation
Distributed Computing
Localized construction of bounded degree and planar spanner for wireless ad hoc networks
Mobile Networks and Applications
Impact of interference on multi-hop wireless network performance
Wireless Networks - Special issue: Selected papers from ACM MobiCom 2003
Fault-Tolerant Clustering in Ad Hoc and Sensor Networks
ICDCS '06 Proceedings of the 26th IEEE International Conference on Distributed Computing Systems
Local solutions for global problems in wireless networks
Journal of Discrete Algorithms
Distributed approximation of capacitated dominating sets
Proceedings of the nineteenth annual ACM symposium on Parallel algorithms and architectures
Approximating the minimum vertex cover in sublinear time and a connection to distributed algorithms
Theoretical Computer Science
SIAM Journal on Computing
Multiple Kronecker covering graphs
European Journal of Combinatorics
Ad hoc networks beyond unit disk graphs
Wireless Networks
A log-star distributed maximal independent set algorithm for growth-bounded graphs
Proceedings of the twenty-seventh ACM symposium on Principles of distributed computing
Local Maximal Matching and Local 2-Approximation for Vertex Cover in UDGs
ADHOC-NOW '08 Proceedings of the 7th international conference on Ad-hoc, Mobile and Wireless Networks
Fast Distributed Approximations in Planar Graphs
DISC '08 Proceedings of the 22nd international symposium on Distributed Computing
Computing Lightweight Spanners Locally
DISC '08 Proceedings of the 22nd international symposium on Distributed Computing
Leveraging Linial's Locality Limit
DISC '08 Proceedings of the 22nd international symposium on Distributed Computing
A Limit to the Power of Multiple Nucleation in Self-assembly
DISC '08 Proceedings of the 22nd international symposium on Distributed Computing
Constant-Time Approximation Algorithms via Local Improvements
FOCS '08 Proceedings of the 2008 49th Annual IEEE Symposium on Foundations of Computer Science
Tight Local Approximation Results for Max-Min Linear Programs
Algorithmic Aspects of Wireless Sensor Networks
Local PTAS for Dominating and Connected Dominating Set in Location Aware Unit Disk Graphs
Approximation and Online Algorithms
Local edge colouring of Yao-like subgraphs of Unit Disk Graphs
Theoretical Computer Science
A simple local 3-approximation algorithm for vertex cover
Information Processing Letters
Distributed (δ+1)-coloring in linear (in δ) time
Proceedings of the forty-first annual ACM symposium on Theory of computing
Combinatorial Optimization: Theory and Algorithms
Combinatorial Optimization: Theory and Algorithms
Weak graph colorings: distributed algorithms and applications
Proceedings of the twenty-first annual symposium on Parallelism in algorithms and architectures
An optimal local approximation algorithm for max-min linear programs
Proceedings of the twenty-first annual symposium on Parallelism in algorithms and architectures
Local Algorithms: Self-stabilization on Speed
SSS '09 Proceedings of the 11th International Symposium on Stabilization, Safety, and Security of Distributed Systems
Semi-matchings for bipartite graphs and load balancing
Journal of Algorithms
Local approximation algorithms for scheduling problems in sensor networks
ALGOSENSORS'07 Proceedings of the 3rd international conference on Algorithmic aspects of wireless sensor networks
LATIN'08 Proceedings of the 8th Latin American conference on Theoretical informatics
Fast distributed approximation algorithms for vertex cover and set cover in anonymous networks
Proceedings of the twenty-second annual ACM symposium on Parallelism in algorithms and architectures
A local 2-approximation algorithm for the vertex cover problem
DISC'09 Proceedings of the 23rd international conference on Distributed computing
Almost Stable Matchings by Truncating the Gale–Shapley Algorithm
Algorithmica - Special Issue: Matching Under Preferences; Guest Editors: David F. Manlove, Robert W. Irving and Kazuo Iwama
Distributed algorithms for edge dominating sets
Proceedings of the 29th ACM SIGACT-SIGOPS symposium on Principles of distributed computing
Minimum dominating set approximation in graphs of bounded arboricity
DISC'10 Proceedings of the 24th international conference on Distributed computing
Local 7-coloring for planar subgraphs of unit disk graphs
Theoretical Computer Science
Proceedings of the 30th annual ACM SIGACT-SIGOPS symposium on Principles of distributed computing
Analysing local algorithms in location-aware quasi-unit-disk graphs
Discrete Applied Mathematics
Brief announcement: distributed approximations for the semi-matching problem
DISC'11 Proceedings of the 25th international conference on Distributed computing
FOCS '11 Proceedings of the 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science
ICDCN'06 Proceedings of the 8th international conference on Distributed Computing and Networking
Efficient distributed weighted matchings on trees
SIROCCO'06 Proceedings of the 13th international conference on Structural Information and Communication Complexity
Local Approximability of Max-Min and Min-Max Linear Programs
Theory of Computing Systems - Special Issue: Parallelism in Algorithms and Architectures
Local construction of planar spanners in unit disk graphs with irregular transmission ranges
LATIN'06 Proceedings of the 7th Latin American conference on Theoretical Informatics
Distributed computing with advice: information sensitivity of graph coloring
ICALP'07 Proceedings of the 34th international conference on Automata, Languages and Programming
Analysing local algorithms in location-aware quasi-unit-disk graphs
Discrete Applied Mathematics
Distributed maximal matching: greedy is optimal
PODC '12 Proceedings of the 2012 ACM symposium on Principles of distributed computing
Lower bounds for local approximation
PODC '12 Proceedings of the 2012 ACM symposium on Principles of distributed computing
Weak models of distributed computing, with connections to modal logic
PODC '12 Proceedings of the 2012 ACM symposium on Principles of distributed computing
Deterministic local algorithms, unique identifiers, and fractional graph colouring
SIROCCO'12 Proceedings of the 19th international conference on Structural Information and Communication Complexity
No sublogarithmic-time approximation scheme for bipartite vertex cover
DISC'12 Proceedings of the 26th international conference on Distributed Computing
Distributed 2-approximation algorithm for the semi-matching problem
DISC'12 Proceedings of the 26th international conference on Distributed Computing
Stone age distributed computing
Proceedings of the 2013 ACM symposium on Principles of distributed computing
Brief announcement: a local approximation algorithm for MDS problem in anonymous planar networks
Proceedings of the 2013 ACM symposium on Principles of distributed computing
Exploiting locality in distributed SDN control
Proceedings of the second ACM SIGCOMM workshop on Hot topics in software defined networking
Efficient computation of balanced structures
ICALP'13 Proceedings of the 40th international conference on Automata, Languages, and Programming - Volume Part II
Lower bounds for local approximation
Journal of the ACM (JACM)
A strengthened analysis of a local algorithm for the minimum dominating set problem in planar graphs
Information Processing Letters
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A local algorithm is a distributed algorithm that runs in constant time, independently of the size of the network. Being highly scalable and fault tolerant, such algorithms are ideal in the operation of large-scale distributed systems. Furthermore, even though the model of local algorithms is very limited, in recent years we have seen many positive results for nontrivial problems. This work surveys the state-of-the-art in the field, covering impossibility results, deterministic local algorithms, randomized local algorithms, and local algorithms for geometric graphs.