Self-stabilizing symmetry breaking in constant-space (extended abstract)
STOC '92 Proceedings of the twenty-fourth annual ACM symposium on Theory of computing
Faster computation on directed networks of automata
Proceedings of the fourteenth annual ACM symposium on Principles of distributed computing
Computing with snakes in directed networks of automata
Journal of Algorithms
Proceedings of the ninth annual ACM symposium on Parallel algorithms and architectures
Computer
Computation: finite and infinite machines
Computation: finite and infinite machines
Sequential Machines: Selected Papers
Sequential Machines: Selected Papers
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We consider strongly-connected, directed networks of identical synchronous, finite-state processors with in-and out-degree uniformly bounded by a network constant. Via a straightforward extension of Ostrovsky and Wilkerson's Backwards Communication Algorithm[9], we exhibit a protocol which solves the Global Topology Determination Problem, the problem of having a root processor map the global topology of a network of unknown size and topology, with running time O(ND) where N represents the number of processors and D represents the diameter of the network. A simple counting argument succes to show that the Global Topology Determination Problem has time-complexity驴(N, logN) which makes the protocol presented asymptotically time-optimal for many large networks.