MSO 0-1 law for recursive random trees

Y.A. Malyshkin and M.E. Zhukovskii

Statistics & Probability Letters, 2021, vol. 173, issue C

Abstract: We prove the monadic second-order 0-1 law for two recursive tree models: uniform attachment tree and preferential attachment tree. We also show that the first order 0-1 law does not hold for non-tree uniform attachment models.

Keywords: Uniform attachment tree; Preferential attachment tree; 0-1 law; Monadic second-order logic (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1016/j.spl.2021.109061

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