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Journal Article
The direct sum of q-matroids
2024
Overview
For classical matroids, the direct sum is one of the most straightforward methods to make a new matroid out of existing ones. This paper defines a direct sum for
q
-matroids, the
q
-analogue of matroids. This is a lot less straightforward than in the classical case, as we will try to convince the reader. With the use of submodular functions and the
q
-analogue of matroid union we come to a definition of the direct sum of
q
-matroids. As a motivation for this definition, we show it has some desirable properties.
Publisher
Springer US,Springer Nature B.V
