843 citations · 5.1k across the 104 of their papers we have counts for
104 papers
The distribution of eccentricities in random regular graphs
Dor Lev-Ari, Ofer Biham, Eytan Katzav
We derive a closed-form analytical expression for the distribution of eccentricities (DoE) in random regular graphs (RRGs) that consist of nodes of degree . The DoE is given…
First-passage processes in a deterministic one-dimensional cellular automaton model of traffic flow
Ofer Biham, Gilad Hertzberg Rabinovich, Eytan Katzav
We present analytical results for first-passage processes in a deterministic one-dimensional cellular automaton (CA) model of traffic flow. Starting at time from a random ini…
Structure and dynamics in the low-density phase of a two-dimensional cellular automaton model of traffic flow
Gilad Hertzberg Rabinovich, Ofer Biham, Eytan Katzav
We analyze the structure and dynamics in the low-density phase of the deterministic two-dimensional cellular automaton model of traffic flow introduced in [O. Biham, A.A. Middleton…
The effect of preferential node deletion on the structure of networks that evolve via preferential attachment
Barak Budnick, Ofer Biham, Eytan Katzav
We present analytical results for the effect of preferential node deletion on the structure of networks that evolve via node addition and preferential attachment. To this end, we c…
Phase transition in evolving networks that combine preferential attachment and random node deletion
Barak Budnick, Ofer Biham, Eytan Katzav
Analytical results are presented for the structure of networks that evolve via a preferential-attachment-random-deletion (PARD) model in the regime of overall network growth and in…
The joint distribution of first return times and of the number of distinct sites visited by a 1D random walk before returning to the origin
Mordechai Gruda, Ofer Biham, Eytan Katzav +1
We present analytical results for the joint probability distribution of first return (FR) times t and of the number of distinct sites s visited by a random walk (…