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- W1997271142 abstract "Let ϕ be a 2-coloring of the elements of a matroid M. The bicolor basis graph of M is the graph G(B(M),ϕ) with vertex set given by the set of bases of M in which two bases B and B′ are adjacent if B′=(B−e)∪f for some elements e∈B and f∈B′ with ϕ(e)≠ϕ(f). Let M be a matroid with at least one circuit, we prove that G(B(M),ϕ) is connected for every 2-coloring ϕ of M if and only if M is a connected matroid." @default.
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- W1997271142 date "2012-12-01" @default.
- W1997271142 modified "2023-10-14" @default.
- W1997271142 title "The basis graph of a bicolored matroid" @default.
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- W1997271142 doi "https://doi.org/10.1016/j.dam.2011.04.004" @default.
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