In the subcritical regime m = m_c(1-ε) with ε→0 and ε³n→∞, the largest component L1 satisfies L1 = (1+o_p(1)) * [2(α+2)/(α+1)] ε^{-2} log(ε³ n) for fixed α>0 (and analogous limits when α(n)→a).
‘On a conditionally Poissonian grap h process’
3 Pith papers cite this work. Polarity classification is still indexing.
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Senescence mortality curves are formally equivalent to outcomes of within-generation multi-level selection in a scaled two-level Moran process where damage accumulation plays the role of defector spread.
Necessary and sufficient conditions on the generating measure are derived for eventual connectedness and almost-completeness of edge exchangeable graphs, with a sufficient condition for asymptotic normality of the vertex count.
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Sharp Asymptotics for the Largest Component in the Subcritical Regime of Preferential Attachment Without Vertex Growth
In the subcritical regime m = m_c(1-ε) with ε→0 and ε³n→∞, the largest component L1 satisfies L1 = (1+o_p(1)) * [2(α+2)/(α+1)] ε^{-2} log(ε³ n) for fixed α>0 (and analogous limits when α(n)→a).