3 papers
math.CO2020
Defining bicircular matroids in monadic logic
Daryl Funk, Dillon Mayhew, Mike Newman
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…
math.CO2018
Effective versions of two theorems of Rado
Jason Bell, Daryl Funk, Byoung Du Kim +1
Let be a representable matroid on elements. We give bounds, in terms of , on the least positive characteristic and smallest field over which is representable.
math.CO2017
On excluded minors for classes of graphical matroids
Daryl Funk, Dillon Mayhew
Frame matroids and lifted-graphic matroids are two distinct minor-closed classes of matroids, each of which generalises the class of graphic matroids. The class of quasi-graphic ma…