The e-Exchange Basis Graph and Matroid connectedness
Chun, C. and Chun, D. and Moss, T. and Noble, Steven (2018) The e-Exchange Basis Graph and Matroid connectedness. Discrete Mathematics 342 (3), pp. 723-725. ISSN 0012-365X.
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Abstract
Let M be a matroid and e ∈ E ( M ). The e -exchange basis graph of M has vertices labeled by bases of M , and two vertices are adjacent when the bases labeling them have symmetric difference { e, x } for some x ∈ E ( M ). In this paper we show that a connected matroid is exactly a matroid with the property that for every element e ∈ E ( M ), the e -exchange basis graph is connected.
Metadata
| Item Type: | Article |
|---|---|
| School: | School of Business, Economics & Informatics > Economics, Mathematics and Statistics |
| Depositing User: | Steven Noble |
| Date Deposited: | 02 Nov 2018 13:40 |
| Last Modified: | 13 Feb 2021 04:05 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/24903 |
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