The epidemic threshold for the SIRS process on configuration-model power-law graphs with exponent τ>2 is zero, with exponential survival sustained by hierarchical stars of order 2.
Cambridge University Press, Cambridge, 2016
3 Pith papers cite this work. Polarity classification is still indexing.
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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).
New constructions of MMS graphs and hypergraphs plus probabilistic results for the Erdős–Rényi model and a blowout method for higher uniformities.
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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).
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The Manickam-Mikl\'os-Singhi Property in Graphs and Hypergraphs
New constructions of MMS graphs and hypergraphs plus probabilistic results for the Erdős–Rényi model and a blowout method for higher uniformities.