complex networks 1eccentricity distribution 1extreme value statistics 1graph theory 1random regular graphs 1
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cond-mat.stat-mech2026
The distribution of eccentricities in random regular graphs
Dor Lev-Ari, Ofer Biham, Eytan Katzav
The paper derives a closed‑form analytical expression for the full distribution of node eccentricities in random regular graphs, providing formulas for the mean, mode, and variance…
cond-mat.stat-mech2026
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…
nlin.CG2026
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…