Knapp, C. and Noble, Steven (2022) The complexity of the Greedoid Tutte Polynomial. Technical Report. Birkbeck, University of London, London, UK. (Submitted)
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Abstract
We consider the Tutte polynomial of three classes of greedoids: those arising from rooted graphs, rooted digraphs and binary matrices. We establish the computational complexity of evaluating each of these polynomials at each fixed rational point (x,y). In each case we show that evaluation is #P-hard except for a small number of exceptional cases when there is a polynomial time algorithm.
Metadata
| Item Type: | Monograph (Technical Report) |
|---|---|
| Additional Information: | Birkbeck Pure Mathematics Preprint Series |
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Steven Noble |
| Date Deposited: | 26 Apr 2023 12:57 |
| Last Modified: | 01 Jul 2024 10:00 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/50182 |
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