In this note we determine when a collection of subsets of a set E is the set of non-spanning circuits of a matroid on E. This result is then used to characterize when a matroid on E is uniquely determined by its set of non-spanning circuits. © 1991, Academic Press Limited. All rights reserved.
Publication Source (Journal or Book title)
European Journal of Combinatorics
Oxley, J., & Whittle, G. (1991). A Note on the Non-spanning Circuits of a Matroid. European Journal of Combinatorics, 12 (3), 259-261. https://doi.org/10.1016/S0195-6698(13)80092-3