Internally 4-connected binary matroids with cyclically sequential orderings
نویسندگان
چکیده
We characterize all internally 4-connected binary matroids M with the property that the ground set of M can be ordered (e0, . . . , en−1) in such a way that {ei, . . . , ei+t} is 4-separating for all 0 ≤ i, t ≤ n − 1 (all subscripts are read modulo n). We prove that in this case either n ≤ 7 or, up to duality, M is isomorphic to the polygon matroid of a cubic or quartic planar ladder, the polygon matroid of a cubic or quartic Möbius ladder, a particular single-element extension of a wheel, or a particular single-element extension of the bond matroid of
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عنوان ژورنال:
- Discrete Mathematics
دوره 310 شماره
صفحات -
تاریخ انتشار 2010