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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > PARTITIONS:
Reports tagged with partitions:
TR06-069 | 11th May 2006
Christian Glaßer, Alan L. Selman, Stephen Travers, Klaus W. Wagner

The Complexity of Unions of Disjoint Sets

This paper is motivated by the open question
whether the union of two disjoint NP-complete sets always is
NP-complete. We discover that such unions retain
much of the complexity of their single components. More precisely,
they are complete with respect to more general reducibilities.

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TR22-160 | 31st October 2022
Jason Vander Woude, Peter Dixon, A. Pavan, Jamie Radcliffe, N. V. Vinodchandran

The Geometry of Rounding

Rounding has proven to be a fundamental tool in theoretical computer science. By observing that rounding and partitioning of $\mathbb{R}^d$ are equivalent, we introduce the following natural partition problem which we call the secluded hypercube partition problem: Given $k\in\mathbb{N}$ (ideally small) and $\epsilon>0$ (ideally large), is there a partition of ... more >>>




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