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On 3-connected matroids - MaRDI portal

On 3-connected matroids (Q1118602)

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scientific article; zbMATH DE number 4095477
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English
On 3-connected matroids
scientific article; zbMATH DE number 4095477

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    On 3-connected matroids (English)
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    1989
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    In this paper we answer a question of Oxley. We will show that if M is a 3-connected matroid and C is a circuit of M such that \(M\setminus e\) is not 3-connected for every \(e\in C\) then C meets at least two triads of M. We also give a generalization of Tutte's whirl and wheel theorem.
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    3-connected matroid
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    Tutte's whirl and wheel theorem
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