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Publication details
Trees, grids, and MSO decidability: From graphs to matroids
Authors | |
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Year of publication | 2006 |
Type | Article in Periodical |
Magazine / Source | Theoretical Computer Science |
MU Faculty or unit | |
Citation | |
Web | http://dx.doi.org/10.1016/j.tcs.2005.10.006 |
Field | Informatics |
Keywords | matroid; branch-width; MSO theory; decidability |
Description | We show that, for every finite field $\pf F$, the class of all $\pf F$-representable matroids of branch-width at most a constant~$t$ has a decidable MSO theory. In the other direction, we prove that every class of $\pf F$-representable matroids with a decidable MSO theory must have uniformly bounded branch-width. |
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