3 citations · 10 across the 21 of their papers we have counts for
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math.CO2011
A Characterization of Binary Matroids by Basis-Exchange
Daniel Kotlar
The effect of replacing a basis element on the way the basis spans other elements is studied. This leads to a new characterization of binary matroids.
math.CO2011
On circuits and serial symmetric basis-exchange in matroids
Daniel Kotlar
The way circuits, relative to a basis, are affected as a result of exchanging a basis element, is studied. As consequences, it is shown that three consecutive symmetric exchanges e…
math.CO2011★ 1 cited
On Serial Symmetric Exchanges of Matroid Bases
Daniel Kotlar, Ran Ziv
We study some properties of a serial (i.e. one-by-one) symmetric exchange of elements of two disjoint bases of a matroid. We show that any two elements of one base have a serial sy…