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arXiv · 1506.05279

Non-dominating sequences of vectors using only resets and increments

Wojciech Czerwinski·Tomasz Gogacz·Eryk Kopczynski
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Abstract

We consider a variant of Dickson lemma, where each entry of a vector can be reseted or incremented by 1 in respect to the previous one. We give an example of non dominating sequence of length $2^{2^{\theta (n)}}$. It perfectly match the previously known upperbound.

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Wojciech Czerwinski, Tomasz Gogacz, Eryk Kopczynski. 2015-06-17. Non-dominating sequences of vectors using only resets and increments. https://doi.org/10.3233/fi-2015-1247

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