Unverified50% confidenceFactExact time
When α=2, α-RC reduces to an explicit transformation of the Participation Ratio, thereby eliminating scale dependence while retaining PR's interpretability.
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10/19/2026
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UnverifiedThe α-RC metrics are monotonic: metric values are non-decreasing with α.70% similarUnverifiedThe misaligned dual phase transition—where the mean transitions at c = 1/2 and the variance transitions at c = 1—is the core contribution of this paper.64% similarUnverifiedThe α-RC metrics are bounded: regardless of network architecture, all α-RC metrics fall within the [0,1] interval; 0 means magnitude is uniformly distributed across all minors, and 1 means magnitude is entirely carried by a single minor.61% similarUnverifiedThe stability index α takes values in (0, 2]; the smaller α is, the heavier the tails, and when α = 2 the stable distribution degenerates to a Gaussian distribution.61% similarUnverifiedThe coefficient of determination R² for this power-law fit is 0.732, which improves to 0.821 after adding interaction terms.61% similar
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