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- W2044656722 abstract "A standard matrix representation A of a matroid M represents M relative to a fixed basis B. Deleting rows and columns of A correspond to contracting elements of B and deleting elements of E(M)−B. If M is 3-connected, it is often desirable to perform such an element removal from M while maintaining 3-connectivity. This paper proves that this is always possible provided M has no 4-element fans. We also show that, subject to a mild essential restriction, this element removal can be done so as to retain a copy of a specified 3-connected minor of M." @default.
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- W2044656722 date "2008-07-01" @default.
- W2044656722 modified "2023-09-27" @default.
- W2044656722 title "Maintaining 3-connectivity relative to a fixed basis" @default.
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- W2044656722 doi "https://doi.org/10.1016/j.aam.2007.05.001" @default.
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