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- W2000692358 abstract "As is well known, the cycles of any given graph G may be regarded as the circuits of a matroid defined on the edge set of G. The question of whether other families of connected graphs exist such that, given any graph G, the subgraphs of G isomorphic to some member of the family may be regarded as the circuits of a matroid defined on the edge set of G led us, in two other papers, to the proof of some results concerning properties of the cycles when regarded as circuits of such matroids. Here we prove that the wheels share many of these properties with the cycles. Moreover, properties of subgraphs which may be regarded as bases of such matroids are also investigated." @default.
- W2000692358 created "2016-06-24" @default.
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- W2000692358 date "1975-01-01" @default.
- W2000692358 modified "2023-10-16" @default.
- W2000692358 title "Subgraphs as circuits and bases of matroids" @default.
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- W2000692358 doi "https://doi.org/10.1016/0012-365x(75)90096-5" @default.
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