VEST is W[2]-hard

Michael Skotnica

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arXiv · 2209.09788

VEST is W[2]-hard

Michael Skotnica

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Abstract

In this short note, we show that the problem of VEST is $W[2]$-hard for parameter $k$. This strengthens a result of Matou\v{s}ek, who showed $W[1]$-hardness of that problem. The consequence of this result is that computing the $k$-th homotopy group of a $d$-dimensional space for $d > 3$ is $W[2]$-hard for parameter $k$.

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Michael Skotnica. 2022-09-20. VEST is W[2]-hard. https://arxiv.org/abs/2209.09788

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