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Non-recursively constructible recursive families of graphs - MaRDI portal

Non-recursively constructible recursive families of graphs (Q426873)

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scientific article; zbMATH DE number 6045702
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Non-recursively constructible recursive families of graphs
scientific article; zbMATH DE number 6045702

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    Non-recursively constructible recursive families of graphs (English)
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    12 June 2012
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    Summary: In a publication by \textit{M. Noy} and \textit{A. Ribó} [Adv. Appl. Math. 32, No. 1--2, 350--363 (2004; Zbl 1041.05050)], it was shown that recursively constructible families of graphs are recursive. The authors also conjecture that the converse holds; that is, recursive families are also recursively constructible. In this paper, we provide two specific counterexamples to this conjecture, which we then extend to an infinite family of counterexamples.
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    Tutte polynomial
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