Abstract
The es-splitting operation on a [Formula: see text]-connected binary matroid may not preserve the [Formula: see text]-connectedness of the matroid. In this paper, we provide a sufficient condition for a [Formula: see text]-connected binary matroid to yield a [Formula: see text]-connected binary matroid under the es-splitting operation. We derive a splitting lemma for [Formula: see text]-connected binary matroids as an application of this result.
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