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arXiv · 2406.13861

Skew circuits and circumference in a binary matroid

Sean McGuinness
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Abstract

Let C_1 and C_2 be skew circuits in a binary matroid having circumference c. For any positive integer k there is a constant a_k such that if min { |A| ; C_1 \subset A \subset E-A} > a_k, then |C_1| + |C_2| < 2c -k.

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Sean McGuinness. 2026-03-05. Skew circuits and circumference in a binary matroid. https://arxiv.org/abs/2406.13861

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