Simulations show critical strongly connected clusters remain fractal objects with dimension-dependent scaling: hyperscaling below d=6, mean-field above, and double power-law scaling on complete graphs.
In all finite dimensions,C 1 exhibits a clear power-law scaling, C1 ∼L dSCC ∼V dSCC/d,(9) indicating a continuous percolation transition of SCCs, with fractal dimensiond SCC
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Percolation transition of strongly connected clusters in finite dimensions and on complete graphs
Simulations show critical strongly connected clusters remain fractal objects with dimension-dependent scaling: hyperscaling below d=6, mean-field above, and double power-law scaling on complete graphs.