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math.CO2025
-fold circuits and coning in rigidity matroids
John Hewetson, Bill Jackson, Anthony Nixon +1
In 1980 Lovász introduced the concept of a double circuit in a matroid. The 2nd, 3rd and 4th authors recently generalised this notion to -fold circuits (for any natural number $…
math.CO2024
The -fold circuit property for matroids
Bill Jackson, Anthony Nixon, Ben Smith
Double circuits were introduced by Lovász in 1980 as a fundamental tool in his derivation of a min-max formula for the size of a maximum matching in linear matroids. This formula w…