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The Ethereal
All binomial identities are orderable
March 29, 2016 ยท The Ethereal ยท ๐ European journal of combinatorics (Print)
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Authors
Dmitry N. Kozlov
arXiv ID
1603.08743
Category
cs.DM: Discrete Mathematics
Cross-listed
cs.DC,
math.CO
Citations
5
Venue
European journal of combinatorics (Print)
Last Checked
2 months ago
Abstract
The main result of this paper is to show that all binomial identities are orderable. This is a natural statement in the combinatorial theory of finite sets, which can also be applied in distributed computing to derive new strong bounds on the round complexity of the weak symmetry breaking task. Furthermore, we introduce the notion of a fundamental binomial identity and find an infinite family of values, other than the prime powers, for which no fundamental binomial identity can exist.
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