Papers

Mar
10
Coloring outside the lines: Spectral bounds for generalized hypergraph colorings

Coloring outside the lines: Spectral bounds for generalized hypergraph colorings

Lies Beers and Raffaella Mulas Abstract It is known that, for an oriented hypergraph with (vertex) coloring number $\chi$ and
1 min read
Jan
22
Hypergraphs and simplicial complexes in focus: A roadmap for future research in higher-order interactions

Hypergraphs and simplicial complexes in focus: A roadmap for future research in higher-order interactions

Aida Abiad, Alex Arenas, Agnes Backhausz, Jozsef Balogh, Christopher R. S. Banerji, Sergio Barbarossa, Ginestra Bianconi, Christian Bick, Magnus Bakke
2 min read
Jan
16
Uniform density in matroids, matrices and graphs

Uniform density in matroids, matrices and graphs

Karel Devriendt and Raffaella Mulas Abstract We give new characterizations for the class of uniformly dense matroids and study applications
1 min read
Dec
24
Cobordism of nested manifolds

Cobordism of nested manifolds

By Alba Sendón Blanco Imagine that you have a nested manifold: a small manifold inside a big manifold. You know
2 min read
Nov
28
A network based circuit model approach to understand thermal transport mechanisms

A network based circuit model approach to understand thermal transport mechanisms

Zeolitic imidazolate frameworks (ZIFs), a subclass of metal-organic frameworks (MOFs), exhibit tunable thermal conductivity, which is crucial for applications such
1 min read
Nov
03
The persistent Laplacian of non-branching complexes

The persistent Laplacian of non-branching complexes

This recently published paper by CTA2 members Magnus Bakke Botnan and Rui Dong studies persistent Laplacians, an extension of Laplacian
3 min read
Oct
24

Non-linear proper Fredholm maps and the stable homotopy groups of spheres

Lauran Toussaint and Thomas Rot We classify non-linear proper Fredholm maps between Hilbert spaces, up to proper homotopy, in terms
Oct
21
Fair and Tolerant (FAT) Graph Colorings

Fair and Tolerant (FAT) Graph Colorings

Lies Beers and Raffaella Mulas Abstract We introduce and study Fair and Tolerant colorings (FAT colorings), where each vertex tolerates
1 min read
Oct
12

A geometric computation of cohomotopy groups in codegree one

Michael Jung and Thomas O Rot Using geometric arguments, we compute the group of homotopy classes of maps from a
Sep
16
"Building blocks of functional connectivity measures for aperiodic electrophysiological brain signals" has been published

"Building blocks of functional connectivity measures for aperiodic electrophysiological brain signals" has been published

Rikkert Hindriks, Thomas O. Rot, Michel J.A.M. van Putten, Prejaas Tewarie This paper has been published in NeuroImage:
1 min read