The theory of matroids has been generalized to oriented matroids and, recently, to arithmetic matroids. We want to give a definition of “oriented arithmetic matroid” and prove some properties like the “uniqueness of orientation”.
Pagaria R. (2020). Orientable arithmetic matroids. DISCRETE MATHEMATICS, 343(6), 111872-111872 [10.1016/j.disc.2020.111872].
Orientable arithmetic matroids
Pagaria R.
2020
Abstract
The theory of matroids has been generalized to oriented matroids and, recently, to arithmetic matroids. We want to give a definition of “oriented arithmetic matroid” and prove some properties like the “uniqueness of orientation”.File in questo prodotto:
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Orient_arith_matroids_v2.pdf
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