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arXiv · 1311.7289

Weak symmetry breaking and abstract simplex paths

Dmitry N. Kozlov
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Abstract

Motivated by questions in theoretical distributed computing, we develop the combinatorial theory of abstract simplex path subdivisions. Our main application is a short and structural proof of the theorem of Castaneda and Rajsbaum. This theorem in turn implies the solvability of the weak symmetry breaking task in the immediate snapshot wait-free model in the case when the number of processes is not a power of a prime number.

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Dmitry N. Kozlov. 2014-03-05. Weak symmetry breaking and abstract simplex paths. https://doi.org/10.1017/s0960129514000085

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