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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Distributed computing 11 (1998), S. 113-124 
    ISSN: 1432-0452
    Keywords: Key words: Naming problem – Symmetry breaking – Unique process ID – Asynchronous distributed protocols – Fault-tolerance – Shared memory – Wait-free read/write registers – Atomicity – Test-and-set objects – Randomized algorithms – Adaptive adversary
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract. A naming protocol assigns unique names (keys) to every process out of a set of communicating processes. We construct a randomized wait-free naming protocol using wait-free atomic read/write registers (shared variables) as process intercommunication primitives. Each process has its own private register and can read all others. The addresses/names each one uses for the others are possibly different: Processes p and q address the register of process r in a way not known to each other. For $n$ processes and $\epsilon 〉 0$ , the protocol uses a name space of size $(1+\epsilon)n$ and $O(n \log n \log \log n)$ running time (read/writes to shared bits) with probability at least $1-o(1)$ , and $O(n \log^2 n)$ overall expected running time. The protocol is based on the wait-free implementation of a novel $\alpha$ -Test&SetOnce object that randomly and fast selects a winner from a set of q contenders with probability at least $\alpha$ in the face of the strongest possible adaptive adversary.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Combinatorica 15 (1995), S. 255-280 
    ISSN: 1439-6912
    Keywords: 68 Q 22 ; 05 C 15 ; 68 R 10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Given a connected graphG=(V, E) with |V|=n and maximum degree Δ such thatG is neither a complete graph nor an odd cycle, Brooks' theorem states thatG can be colored with Δ colors. We generalize this as follows: letG-v be Δ-colored; then,v can be colored by considering the vertices in anO(logΔ n) radius aroundv and by recoloring anO(logΔ n) length “augmenting path” inside it. Using this, we show that Δ-coloringG is reducible inO(log3 n/logΔ) time to (Δ+1)-vertex coloringG in a distributed model of computation. This leads to fast distributed algorithms and a linear-processorNC algorithm for Δ-coloring.
    Type of Medium: Electronic Resource
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