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20162024
most citedAnalytical results for the distribution of first return times of random walks on random regular graphs

38 citations · 210 across the 16 of their papers we have counts for

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cond-mat.stat-mech2024

Analytical results for the distribution of first return times of non-backtracking random walks on configuration model networks

Dor Lev-Ari, Ido Tishby, Ofer Biham +2

We present analytical results for the distribution of first return (FR) times of non-backtracking random walks (NBWs) on undirected configuration model networks consisting of n…

cond-mat.stat-mech2023★ 2 cited

The distribution of the number of cycles in directed and undirected random 2-regular graphs

Ido Tishby, Ofer Biham, Eytan Katzav +1

We present analytical results for the distribution of the number of cycles in directed and undirected random 2-regular graphs (2-RRGs) consisting of nodes. In directed 2-RRGs e…

cond-mat.stat-mech2022★ 9 cited

Analytical results for the distribution of first-passage times of random walks on random regular graphs

Ido Tishby, Ofer Biham, Eytan Katzav

We present analytical results for the distribution of first-passage (FP) times of random walks (RWs) on random regular graphs that consist of nodes of degree . Startin…

cond-mat.stat-mech2022★ 10 cited

The mean and variance of the distribution of shortest path lengths of random regular graphs

Ido Tishby, Ofer Biham, Reimer Kühn +1

The distribution of shortest path lengths (DSPL) of random networks provides useful information on their large scale structure. In the special case of random regular graphs (RRGs),…

cond-mat.stat-mech2021★ 38 cited

Analytical results for the distribution of first return times of random walks on random regular graphs

Ido Tishby, Ofer Biham, Eytan Katzav

We present analytical results for the distribution of first return (FR) times of random walks (RWs) on random regular graphs (RRGs) consisting of nodes of degree . Sta…

cond-mat.stat-mech2018★ 30 cited

Revealing the Micro-Structure of the Giant Component in Random Graph Ensembles

Ido Tishby, Ofer Biham, Eytan Katzav +1

The micro-structure of the giant component of the Erd{\H o}s-Rényi network and other configuration model networks is analyzed using generating function methods. While configuration…