Browsing by Subject "Discrete Morse theory"
Now showing items 1-3 of 3
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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 ...