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Table 1 List of symbols

From: HyGen: generating random graphs with hyperbolic communities

Symbol Meaning
p Center of the hyperbola in the hyperbolic model
p R Center of the hyperbola in the graphon hyperbolic model
θ Boundary of the hyperbola in the hyperbolic model
θ R Boundary of the hyperbola in the graphon hyperbolic model
γ Size of the core in the fixed model
H Thickness of the tail in the fixed model
γ R Relative size of the core in the graphon fixed model
H R Relative thickness of the tail in the graphon fixed model
d in Density of edges inside the community
d out Density of the edges outside the community
\(\mathbb {N}\) Set of natural numbers {0,1,2,…}