Logical properties of random graphs from small addable classes

We establish zero-one laws and convergence laws for monadic second-order logic (MSO) (and, a fortiori, first-order logic) on a number of interesting graph classes. In particular, we show that MSO obeys a zero-one law on the class of connected planar graphs, the class of connected graphs of tree-widt...

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Bibliographic Details
Main Authors: Anuj Dawar, Eryk Kopczyński
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2019-07-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/3780/pdf