O Melchert - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
In the present article, statistical properties regarding the topology and standard percolation on relative neighborhood graphs (RNGs) for planar sets of points, considering the Euclidean …
We study domain-wall excitations in two-dimensional random-bond Ising spin systems on a square lattice with side length L, subject to two different continuous disorder distributions. In …
In the presented article we present an algorithm for the computation of ground state spin configurations for the 2d random bond Ising model on planar triangular lattice graphs …
We perform numerical simulations to study the optimal path problem on disordered hierarchical graphs with effective dimension d eff≈ 2.32. Therein, edge energies are drawn …
C Norrenbrock - The European Physical Journal B, 2016 - Springer
In the present article, numerical simulations have been performed to find the bond and site percolation thresholds on two-dimensional Gabriel graphs (GG) for Poisson point processes …
By means of numerical simulations, we investigate the geometric properties of loops on hypercubic lattice graphs in dimensions d= 2 through 7, where edge weights are drawn from …
We investigate the geometric properties of loops on two-dimensional lattice graphs, where edge weights are drawn from a distribution that allows for positive and negative weights. We …
We investigate both analytically and numerically the ensemble of minimum-weight loops in the negative-weight percolation model on random graphs with fixed connectivity and …
C Norrenbrock, O Melchert, AK Hartmann - Physical Review E—Statistical …, 2013 - APS
We study numerically the geometrical properties of minimally weighted paths that appear in the minimally weighted path (MWP) model on two-dimensional lattices assuming a …