Timeline for Representability of matroids over $\mathbb R$
Current License: CC BY-SA 3.0
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Jun 29, 2022 at 8:29 | comment | added | Kolja Knauer | In case anyone looks for a concrete family of non-real-representable matroids. Just checked theorem 5.9 in Oxley's survey and (also comparing with the original paper of Lazarson) noticed that the matrix $[I_{p+1}\mid J'_{p+1}]$ that he describes misses an all-ones column in order to yield a non-real-representable matroid $L_p$. Does anyone know of more concrete such families? | |
Jan 5, 2013 at 14:45 | comment | added | Thomas Kahle | It follows from the before-mentioned Mayhew-Newman-Whittle theorem which is more precise: For any real representable matroid M there exists a forbidden minor for real representability that has M as a minor. | |
Jan 5, 2013 at 13:14 | history | answered | Camilo Sarmiento | CC BY-SA 3.0 |