Now showing items 1-3 of 3

• #### Alexander r-Tuples and Bier Complexes ﻿

[OWP-2016-17] (Mathematisches Forschungsinstitut Oberwolfach, 2016-10)
We introduce and study Alexander $r$-Tuples $\mathcal{K} = \langle K_i \rangle ^r_{i=1}$ of simplicial complexes, as a common generalization of pairs of Alexander dual complexes (Alexander 2-tuples) and r-unavoidable ...
• #### The Elser Nuclei Sum Revisited ﻿

[OWP-2021-05] (Mathematisches Forschungsinstitut Oberwolfach, 2021-03-16)
Fix a finite undirected graph $\Gamma$ and a vertex $v$ of $\Gamma$. Let $E$ be the set of edges of $\Gamma$. We call a subset $F$ of $E$ \textit{pandemic} if each edge of $\Gamma$ has at least one endpoint that can be ...
• #### Splitting Necklaces, with Constraints ﻿

[OWP-2020-03] (Mathematisches Forschungsinstitut Oberwolfach, 2020-02-11)
We prove several versions of Alon's "necklace-splitting theorem", subject to additional constraints, as illustrated by the following results. (1) The "almost equicardinal necklace-splitting theorem" claims that, without ...