Realized Exponential Random Graphs, with an Application to the Interbank Network

2021 ◽  
Author(s):  
Giuseppe Buccheri ◽  
Piero Mazzarisi
Keyword(s):  
Random Graphs ◽  
Exponential Random Graphs

scholarly journals Phase transitions in exponential random graphs

2013 ◽  
Vol 23 (6) ◽  
pp. 2458-2471 ◽  
Author(s):  
Charles Radin ◽  
Mei Yin
Keyword(s):  
Phase Transitions ◽  
Random Graphs ◽  
Exponential Random Graphs

Finite-size effects in exponential random graphs

2020 ◽  
Vol 8 (1) ◽  
Author(s):  
A Gorsky ◽  
O Valba
Keyword(s):  
Random Graphs ◽  
Ground State ◽  
Size Effects ◽  
Chemical Potential ◽  
Network Flows ◽  
Finite Size ◽  
Critical Value ◽  
Star Model ◽  
Finite Size Effects ◽  
Exponential Random Graphs

Abstract In this article, we show numerically the strong finite-size effects in exponential random graphs. Particularly, for the two-star model above the critical value of the chemical potential for triplets a ground state is a star-like graph with the finite set of hubs at network density $p<0.5$ or as the single cluster at $p>0.5$. We find that there exists the critical value of number of nodes $N^{*}(p)$ when the ground state undergoes clear-cut crossover. At $N>N^{*}(p),$ the network flows via a cluster evaporation to the state involving the small star in the Erdős–Rényi environment. The similar evaporation of the cluster takes place at $N>N^{*}(p)$ in the Strauss model. We suggest that the entropic trap mechanism is relevant for microscopic mechanism behind the crossover regime.

scholarly journals Mixing time of exponential random graphs

2011 ◽  
Vol 21 (6) ◽  
pp. 2146-2170 ◽  
Author(s):  
Shankar Bhamidi ◽  
Guy Bresler ◽  
Allan Sly
Keyword(s):  
Random Graphs ◽  
Mixing Time ◽  
Exponential Random Graphs
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