Utopia: a load sharing facility for large, heterogeneous distributed computer systems
Software—Practice & Experience
Journal of the ACM (JACM)
Coins, weights and contention in balancing networks
PODC '94 Proceedings of the thirteenth annual ACM symposium on Principles of distributed computing
ACM Transactions on Computer Systems (TOCS)
A combinatorial treatment of balancing networks
Journal of the ACM (JACM)
Impossibility results for weak threshold networks
Information Processing Letters
Operating system principles
Efficient Barriers for Distributed Shared Memory Computers
Proceedings of the 8th International Symposium on Parallel Processing
Distributed, Low Contention Task Allocation
SPDP '96 Proceedings of the 8th IEEE Symposium on Parallel and Distributed Processing (SPDP '96)
Linearizable counting networks
Distributed Computing
Counting networks with arbitrary fan-out
Distributed Computing
Supporting increment and decrement operations in balancing networks
STACS'99 Proceedings of the 16th annual conference on Theoretical aspects of computer science
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Balancing networks are highly distributed data structures used to solve multiprocessor synchronization problems. Typically, balancing networks are accessed by tokens, and the distribution of the tokens on the network's output specify the property of the network. However, tokens represent increment operations only, and tokens alone are not adequate for synchronization problems that require decrement operations. For such kinds of problems, antitokens have been used to represent decrement operations. It has been shown that several kinds of balancing networks which satisfy the step property, smoothing property, and the threshold property for tokens alone, preserve their properties even when antitokens are introduced. A fundamental question that was left open was to characterize all the properties of balancing networks which are preserved under the introduction of antitokens. In this work, we provide such a simple combinatorial characterization for all the properties which are preserved when antitokens are introduced.