843 citations · 5.1k across the 104 of their papers we have counts for
7 papers · 1 filter
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…
Analysis of the convergence of the degree distribution of contracting random networks towards a Poisson distribution using the relative entropy
I. Tishby, O. Biham, E. Katzav
We present analytical results for the structural evolution of random networks undergoing contraction processes via generic node deletion scenarios, namely, random deletion, prefere…
Convergence towards an Erd{\H o}s-Rényi graph structure in network contraction processes
Ido Tishby, Ofer Biham, Eytan Katzav
In a highly influential paper twenty years ago, Barabási and Albert [Science 286, 509 (1999)] showed that networks undergoing generic growth processes with preferential attachment…
Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication
Chanania Steinbock, Ofer Biham, Eytan Katzav
We present exact analytical results for the distribution of shortest path lengths (DSPL) in a directed network model that grows by node duplication. Such models are useful in the s…
Analytical results for the in-degree and out-degree distributions of directed random networks that grow by node duplication
Chanania Steinbock, Ofer Biham, Eytan Katzav
We present exact results for the degree distribution in a directed network model that grows by node duplication (ND). Such models are useful in the study of the structure and growt…
The distribution of shortest path lengths in a class of node duplication network models
Chanania Steinbock, Ofer Biham, Eytan Katzav
We present analytical results for the distribution of shortest path lengths (DSPL) in a network growth model which evolves by node duplication (ND). The model captures essential pr…