Definability of Recursive Predicates in the Induced Subgraph Order

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10119)


Consider the set of all finite simple graphs \(\mathcal {G}\) ordered by the induced subgraph order \(\le _i\). Building on previous work by Wires [14] and Jezek and Mckenzie [5, 6, 7, 8], we show that every recursive predicate over graphs is definable in the first order theory of (\(\mathcal {G},\le _i, P_3\)) where \(P_3\) is the path on 3 vertices.


Turing Machine Order Theory Label Graph Cardinality Constraint Connectivity Constraint 
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I would like to thank my guide Prof. R. Ramanujam for his advice and discussions on both technical matter and the presentation of this paper.


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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.The Institute of Mathematical SciencesChennaiIndia

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