90 citations · 194 across the 8 of their papers we have counts for
10 papers
Thresholds for colouring the random Borsuk graph
Álvaro Acitores Montero, Matthias Irlbeck, Tobias Müller +1
We consider the chromatic number of the random Borsuk graph. The random Borsuk graph is obtained by sampling points i.i.d. uniformly at random on the -dimensional sphere $S^…
On the shape of the typical Poisson-Voronoi cell in high dimensions
Matthias Irlbeck, Zakhar Kabluchko, Tobias Müller
We study the typical cell of the Poisson-Voronoi tessellation. We show that when divided by the -th root of the intensity parameter of the Poisson process times the volume o…
Observation of cnoidal wave localization in non-linear topolectric circuits
Hendrik Hohmann, Tobias Hofmann, Tobias Helbig +12
We observe a localized cnoidal (LCn) state in an electric circuit network. Its formation derives from the interplay of non-linearity and the topology inherent to a Su-Schrieffer-He…
Hamilton cycles and perfect matchings in the KPKVB model
Nikolaos Fountoulakis, Dieter Mitsche, Tobias Müller +1
In this paper we consider the existence of Hamilton cycles and perfect matchings in a random graph model proposed by Krioukov et al.~in 2010. In this model, nodes are chosen random…
Optimal Cheeger cuts and bisections of random geometric graphs
Tobias Müller, Mathew D. Penrose
Let . The Cheeger constant of a graph is the minimum surface-to-volume ratio of all subsets of the vertex set with relative volume at most 1/2. There are several ways to…
Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
Yasir Iqbal, Tobias Müller, Pratyay Ghosh +5
We investigate the quantum Heisenberg model on the pyrochlore lattice for a generic spin in the presence of nearest-neighbor and second-nearest-neighbor exchang…