Skew circuits and circumference in a binary matroid

Fuente: arXiv
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Autor principal: McGuinness, Sean
Formato: Preprint
Publicado: 2024
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author McGuinness, Sean
author_facet McGuinness, Sean
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_13861
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Skew circuits and circumference in a binary matroid
McGuinness, Sean
Combinatorics
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.
title Skew circuits and circumference in a binary matroid
topic Combinatorics
url https://arxiv.org/abs/2406.13861