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MSO zero-one laws on random labelled acyclic graphs

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Publication:1613549
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DOI10.1016/S0012-365X(01)00375-2zbMath1011.03022MaRDI QIDQ1613549

Gregory Loren McColm

Publication date: 29 August 2002

Published in: Discrete Mathematics (Search for Journal in Brave)


zbMATH Keywords

zero-one lawsEhrenfeucht gamesrandom labelled trees


Mathematics Subject Classification ID

Trees (05C05) Random graphs (graph-theoretic aspects) (05C80) Model theory of finite structures (03C13)


Related Items (8)

\( \gamma \)-variable first-order logic of preferential attachment random graphs ⋮ Logical properties of random graphs from small addable classes ⋮ On the structure of random unlabelled acyclic graphs. ⋮ Logical limit laws for minor-closed classes of graphs ⋮ On the convergence of probabilities of first-order sentences for recursive random graph models ⋮ MSO 0-1 law for recursive random trees ⋮ The first order convergence law fails for random perfect graphs ⋮ \(\gamma\)-variable first-order logic of uniform attachment random graphs







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