Delucchi, Emanuele and Lindemann, Tim (2016) Cryptomorphisms for Abstract Rigidity Matroids. In: Configuration Spaces. Springer, pp. 195-211.
Full text not available from this repository. (Request a copy)Abstract
This note contributes to the structure theory of abstract rigidity matroids in general dimension. In the spirit of classical matroid theory, we prove several cryptomorphic characterizations of abstract rigidity matroids (in terms of circuits, cocircuits, bases, hyperplanes). Moreover, the study of hyperplanes in abstract rigidity matroids leads us to state (and support with significant evidence) a conjecture about characterizing the class of abstract rigidity matroids by means of certain “prescribed substructures”. We then prove a recursive version of this conjecture.
| Item Type: | Chapter in book |
|---|---|
| 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 09:22 |
| Last Modified: | 07 Jun 2022 09:22 |
| URI: | http://repository.supsi.ch/id/eprint/13417 |
Actions (login required)
 |
View Item |