On the regularity of orientable matroids
Libby Taylor
TL;DR
This paper characterizes regular matroids within orientable matroids and introduces a measure to quantify their deviation from regularity, enhancing understanding of matroid structure.
Contribution
It provides two new characterizations of regular matroids among orientable matroids and proposes a metric for their regularity deviation.
Findings
Two characterizations of regular matroids among orientable matroids
A measure quantifying how far an orientable matroid is from being regular
Insights into the structural properties of orientable matroids
Abstract
We present two characterizations of regular matroids among orientable matroids and use them to give a measure of "how far" an orientable matroid is from being regular.
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