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- W2937072004 abstract "For a set $$mathcal {C}$$ of circuits of a matroid M, $$G(B(M), mathcal {C})$$ is defined by the graph with one vertex for each basis of M, in which two basis $$B_1$$ and $$B_2$$ are adjacent if $$B_1cup B_2$$ contains exactly one circuit and this circuit lies in $$mathcal {C}$$ . For two elements of a and b of ground set of a binary matroid M a splitting matroid $$M_{a,b}$$ is constructed. It is specified by two collections of circuits $$mathcal {C}_0$$ and $$mathcal {C}_1$$ dependent with collections of circuits of M. We want to study connectivity of $$G(B(M_{a,b}),mathcal {C}_0)$$ and $$G(B(M_{a,b}),mathcal {C}_1)$$ ." @default.
- W2937072004 created "2019-04-25" @default.
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- W2937072004 date "2019-04-11" @default.
- W2937072004 modified "2023-09-26" @default.
- W2937072004 title "On connectivity of basis graph of splitting matroids" @default.
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- W2937072004 doi "https://doi.org/10.1007/s42452-019-0470-z" @default.
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