Delucchi, Emanuele (2011) Modular elimination in matroids and oriented matroids. European Journal of Combinatorics, 32 (3). pp. 339-343. ISSN 01956698
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Official Website: http://dx.doi.org/10.1016/j.ejc.2010.10.013
Abstract
We introduce a new axiomatization of matroid theory that requires the elimination property only among modular pairs of circuits, and we present a cryptomorphic phrasing thereof in terms of Crapo’s axioms for flats. This new point of view leads to a corresponding strengthening of the circuit axioms for oriented matroids.
| Item Type: | Scientific journal article, Newspaper article or Magazine article |
|---|---|
| Subjects: | Mathematical sciences |
| Department/unit: | Dipartimento tecnologie innovative > Istituto Dalle Molle di studi sull'intelligenza artificiale |
| Depositing User: | Emanuele Delucchi |
| Date Deposited: | 07 Jun 2022 09:19 |
| Last Modified: | 07 Jun 2022 09:22 |
| URI: | http://repository.supsi.ch/id/eprint/13408 |
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