4 citations · 21 across the 45 of their papers we have counts for
6 papers · 1 filter
Brownian snails with removal die out in one dimension
Ivailo Hartarsky, Lyuben Lichev
Brownian snails with removal is a spatial epidemic model defined as follows. Initially, a homogeneous Poisson process of susceptible particles on with intensity …
Local dimer dynamics in higher dimensions
Ivailo Hartarsky, Lyuben Lichev, Fabio Toninelli
We consider local dynamics of the dimer model (perfect matchings) on hypercubic boxes . These consist of successively switching the dimers along alternating cycles of prescr…
Sharp threshold for embedding balanced spanning trees in random geometric graphs
Alberto Espuny Díaz, Lyuben Lichev, Dieter Mitsche +1
A rooted tree is balanced if the degree of a vertex depends only on its distance to the root. In this paper we determine the sharp threshold for the appearance of a large family of…
Large monochromatic components in colorings of complete hypergraphs
Lyuben Lichev, Sammy Luo
Gyárfás famously showed that in every -coloring of the edges of the complete graph , there is a monochromatic connected component with at least vertices. A…
Label propagation on binomial random graphs
Marcos Kiwi, Lyuben Lichev, Dieter Mitsche +1
We study the behavior of a label propagation algorithm (LPA) on the Erdős-Rényi random graph . Initially, given a network, each vertex starts with a random label…
Color-avoiding percolation of random graphs: between the subcritical and the intermediate regime
Lyuben Lichev
Fix a graph in which every edge is colored in some of colors. Two vertices and are CA-connected if and may be connected using any subset of col…