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    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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    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.


    Item Type: Article
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Steven Noble
    Date Deposited: 02 Nov 2018 13:40
    Last Modified: 09 Aug 2023 12:45


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