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Defining bicircular matroids in monadic logic

Abstract

We conjecture that the class of frame matroids can be characterised by a sentence in the monadic second-order logic of matroids, and we prove that there is such a characterisation for the class of bicircular matroids. The proof does not depend on an excluded-minor characterisation

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Victoria University of Wellington

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Last time updated on 02/12/2021

This paper was published in Victoria University of Wellington.

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