Auflistung Nach Schlagwort "Discrete Morse theory"

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Alexander r-Tuples and Bier Complexes

[OWP-2016-17] Jojic, Dusko; Nekrasov, Ilya; Panina, Gaiane; Zivaljevic, Rade (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] Grinberg, Darij (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] Jojic, Dusko; Panina, Gaiane; Zivaljevic, Rade (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 ...