Remarks on power-law random graphs

The theory of graphons is an important tool in understanding properties large networks. We investigate a power-law random graph model and cast it the graphon framework. distinctively different structures limit are explored detail sub-critical super-critical regimes. In regime, empty with high probability, rare event that non-empty, consists single edge. Contrarily, non-trivial exists limit, serves as uncovered boundary case between types convergence.