Tropical forests are highly diverse ecosystems, but within such forests there can be large
patches dominated by a single tree species. The myriad presumed mechanisms that lead to …

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 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 …

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 …

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 …

By means of numerical simulations we investigate the configurational properties of densely
and fully packed configurations of loops in the negative-weight percolation (NWP) model. In …

We consider the negative weight percolation (NWP) problem on hypercubic lattice graphs
with fully periodic boundary conditions in all relevant dimensions from d= 2 to the upper …

The main characteristics of biased greedy random walks (BGRWs) on two-dimensional
lattices with real-valued quenched disorder on the lattice edges are studied. Here the …

Domain walls and droplet-like excitation of the random-field Ising magnet are studied in
d={3, 4, 5, 6, 7} dimensions by means of exact numerical ground-state calculations. They are …

We consider the negative-weight percolation model on directed graphs. In particular, we
study the model on a two-dimensional, weighted, periodic, centered square lattice. Bond …